Journal Articles

Wilson-Nieuwenhuis, J, Taylour, J, Lynch, S, Gomes, LC, Whitehead, KA (2026) Effect of surface properties on the adsorption of soil from a simulated reused detergent suspension, Food and Bioproducts Processing, 157, pp.347-362, ISSN: 0960-3085. DOI: 10.1016/j.fbp.2026.03.023.

Lynch, ST, Derakhshan, P, Lynch, S (2025) A Novel Hybrid Temporal Fusion Transformer Graph Neural Network Model for Stock Market Prediction, AppliedMath, 5(4), pp.176-176, DOI: 10.3390/appliedmath5040176.

Lynch, ST and Lynch, S (2025) Hysteresis in Neuron Models with Adapting Feedback Synapses, AppliedMath, 5(2), pp.70-70, DOI: 10.3390/appliedmath5020070.

Whitehead, KA, Brown, M, Caballero, L, Lynch, S, Edge, M, Hill, C, Verran, J, Allen, NS (2025) Nano-Titania Photocatalysis and Metal Doping to Deter Fungal Growth on Outdoor and Indoor Paint Surfaces Using UV and Fluorescent Light, Micro, 5(1), pp.5-5, DOI: 10.3390/micro5010005.

Wilson-Nieuwenhuis, J, Taylour, J, Gomes, LC, Lynch, S, Whitehead, D, Whitehead, KA (2024) Non-chlorine detergent formulations as an alternative for unpasteurised milk removal from stainless steel surfaces, Journal of Food Engineering, 374, pp.112031-112031, ISSN: 0260-8774. DOI: 10.1016/j.jfoodeng.2024.112031.

Whitehead, KA, Lynch, S, Amin, M, Deisenroth, T, Liauw, CM, Verran, J (2023) Effects of Cationic and Anionic Surfaces on the Perpendicular and Lateral Forces and Binding of Aspergillus niger Conidia, Nanomaterials, 13(22), pp.2932-2932, DOI: 10.3390/nano13222932.

Evans, A, Slate, AJ, Tobin, M, Lynch, S, Wilson Nieuwenhuis, J, Verran, J, Kelly, P, Whitehead, KA (2022) Multifractal Analysis to Determine the Effect of Surface Topography on the Distribution, Density, Dispersion and Clustering of Differently Organised Coccal-Shaped Bacteria, Antibiotics, 11(5), pp.551-551, DOI: 10.3390/antibiotics11050551.

Muthanna, MSA, Muthanna, A, Rafiq, A, Hammoudeh, M, Alkanhel, R, Lynch, S, Abd El-Latif, AA (2021) Deep reinforcement learning based transmission policy enforcement and multi-hop routing in QoS aware LoRa IoT networks, Computer Communications, 183, pp.33-50, ISSN: 0140-3664. DOI: 10.1016/j.comcom.2021.11.010.

Mihalcea, BM and Lynch, S (2021) Investigations on Dynamical Stability in 3D Quadrupole Ion Traps, Applied Sciences, 11(7), pp.2938-2938, DOI: 10.3390/app11072938.

Whitehead, KA, Liauw, CM, Lynch, S, El Mohtadi, M, Amin, M, Preuss, A, Deisenroth, T, Verran, J (2021) Diverse surface properties reveal that substratum roughness affects fungal spore binding, iScience, 24(4), pp.102333-102333, DOI: 10.1016/j.isci.2021.102333.

Slate, AJ, Whitehead, KA, Lynch, S, Foster, CW, Banks, CE (2020) Electrochemical Decoration of Additively Manufactured Graphene Macroelectrodes with MoO₂ Nanowires: An Approach to Demonstrate the Surface Morphology, The Journal of Physical Chemistry C, 124(28), pp.15377-15385, ISSN: 1932-7447. DOI: 10.1021/acs.jpcc.0c04532.

Lynch, S (2020) Programming in the Mathematics Curriculum at Manchester Metropolitan University, MSOR Connections, 18(2), pp.5-12, ISSN: 1473-4869. DOI: 10.21100/msor.v18i2.1105.

Amin, M, Rowley-Neale, S, Shalamanova, L, Lynch, S, Wilson-Nieuwenhuis, JT, El Mohtadi, M, Banks, CE, Whitehead, KA (2020) Molybdenum Disulfide Surfaces to Reduce Staphylococcus aureus and Pseudomonas aeruginosa Biofilm Formation, ACS Applied Materials & Interfaces, 12(18), pp.21057-21069, ISSN: 1944-8244. DOI: 10.1021/acsami.0c02278.

Lynch, S, Borresen, J, Roach, P, Kotter, M, Slevin, M (2020) Mathematical modeling of neuronal logic, memory and clocking circuits, International Journal of Bifurcation and Chaos, 30(01), 2050003, ISSN: 0218-1274. DOI: 10.1142/s0218127420500030.

Moreira, JMR, Gomes, LC, Whitehead, KA, Lynch, S, Tetlow, LA, Mergulhão, FJ (2017) Effect of surface conditioning with cellular extracts on Escherichia coli adhesion and initial biofilm formation, Food and Bioproducts Processing, 104, pp.1-12, ISSN: 0960-3085. DOI: 10.1016/j.fbp.2017.03.008.

Tetlow, LA, Lynch, S, Whitehead, KA (2017) The effect of surface properties on bacterial retention: A study utilising stainless steel and TiN/25.65at.%Ag substrata, Food and Bioproducts Processing, 102, pp.332-339, ISSN: 0960-3085. DOI: 10.1016/j.fbp.2017.01.011.

Ramos, J, Lynch, S, Jones, D, Degens, H (2017) Hysteresis in Muscle, International Journal of Bifurcation and Chaos, 27(01), pp.1730003-1730003, ISSN: 0218-1274. DOI: 10.1142/s0218127417300038.

Sharaby, YA, Hassan, SS, Lynch, S (2016) Critical slowing down in an optical bistable model with Kerr-nonlinear blackbody reservoir, Optik, 127(21), pp.10195-10200, ISSN: 0030-4026. DOI: 10.1016/j.ijleo.2016.08.030.

Sharaby, YA, Lynch, S, Hassan, SS (2016) Inhomogeneous and transverse field effects on time delayed optical bistability inside and outside the rotating wave approximation, Journal of Nonlinear Optical Physics & Materials, 25(02), pp.1650021-1650021, ISSN: 0218-8635. DOI: 10.1142/s0218863516500211.

Lynch, S, Alharbey, RA, Batarfi, HA, Hassan, SS (2015) Delayed-dynamical optical bistability within and without the rotating wave approximation, Journal of Nonlinear Optical Physics & Materials, 24(03), pp.1550037-1550037, ISSN: 0218-8635. DOI: 10.1142/s021886351550037x.

Wickens, D, Lynch, S, West, G, Kelly, P, Verran, J, Whitehead, KA (2014) Quantifying the pattern of microbial cell dispersion, density and clustering on surfaces of differing chemistries and topographies using multifractal analysis, Journal of Microbiological Methods, 104, pp.101-108, ISSN: 0167-7012. DOI: 10.1016/j.mimet.2014.07.005.

Alharbey, RA, Nejad, LAM, Lynch, S, Hassan, SS (2014) CRITICAL SLOWING DOWN IN BIOLOGICAL BISTABLE MODELS, International Journal of Pure and Apllied Mathematics, 93(4), ISSN: 1311-8080. DOI: 10.12732/ijpam.v93i4.8.

Sharaby, YA, Lynch, S, Joshi, A, Hassan, SS (2014) Bistable dynamics beyond rotating wave approximation, Journal of Nonlinear Optical Physics & Materials, 23(02), pp.1450019-1450019, ISSN: 0218-8635. DOI: 10.1142/s0218863514500192.

Borresen, J and Lynch, S (2012) Oscillatory Threshold Logic, PLoS ONE, 7(11), pp.e48498-e48498, DOI: 10.1371/journal.pone.0048498.

Wickens, DJ, West, G, Kelly, PJ, Verran, J, Lynch, S, Whitehead, KA (2012) Antimicrobial Activity of Nanocomposite Zirconium Nitride/Silver Coatings to Combat External Bone Fixation Pin Infections, The International Journal of Artificial Organs, 35(10), pp.817-825, ISSN: 0391-3988. DOI: 10.5301/ijao.5000156.

Borresen, J and Lynch, S (2009) Neuronal computers, Nonlinear Analysis: Theory, Methods & Applications, 71(12), pp.e2372-e2376, ISSN: 0362-546X. DOI: 10.1016/j.na.2009.05.060.

JIANG, J, HAN, M, YU, P, LYNCH, S (2007) LIMIT CYCLES IN TWO TYPES OF SYMMETRIC LIÉNARD SYSTEMS, International Journal of Bifurcation and Chaos, 17(06), pp.2169-2174, ISSN: 0218-1274. DOI: 10.1142/s0218127407018300.

Lynch, S and Bandar, ZG (2005) Bistable neuromodules, Nonlinear Analysis: Theory, Methods & Applications, 63(5-7), pp.e669-e677, ISSN: 0362-546X. DOI: 10.1016/j.na.2004.09.042.

Mills, SL, Lees, GC, Liauw, CM, Rothon, RN, Lynch, S (2005) Prediction of Mechanical Properties Following the Dispersion Assessment of Flame Retardant Filler/Polymer Composites Based on the Multifractal Analysis of SEM Images, Journal of Macromolecular Science, Part B, 44(6), pp.1137-1151, ISSN: 0022-2348. DOI: 10.1080/00222340500332590.

LYNCH, S (2005) ANALYSIS OF A BLOOD CELL POPULATION MODEL, International Journal of Bifurcation and Chaos, 15(07), pp.2311-2316, ISSN: 0218-1274. DOI: 10.1142/s0218127405013186.

Mills, SL, Lees, GC, Liauw, CM, Lynch, S (2004) An Improved Method for the Dispersion Assessment of Flame Retardant Filler/Polymer Systems Based on the Multifractal Analysis of SEM Images, Macromolecular Materials and Engineering, 289(10), pp.864-871, ISSN: 1438-7492. DOI: 10.1002/mame.200400138.

BORRESEN, J and LYNCH, S (2002) FURTHER INVESTIGATION OF HYSTERESIS IN CHUA'S CIRCUIT, International Journal of Bifurcation and Chaos, 12(01), pp.129-134, ISSN: 0218-1274. DOI: 10.1142/s021812740200422x.

Mills, SL, Lees, GC, Liauw, CM, Lynch, S (2002) Dispersion assessment of flame retardant filler/polymer systems using a combination of X-ray mapping and multifractal analysis, Polymer Testing, 21(8), pp.941-947, ISSN: 0142-9418. DOI: 10.1016/s0142-9418(02)00038-7.

Lynch, S (2001) Multistability, bistability and chaos control, Nonlinear Analysis: Theory, Methods & Applications, 47(7), pp.4501-4512, ISSN: 0362-546X. DOI: 10.1016/s0362-546x(01)00563-6.

Lynch, S and Steele, AL (2000) Controlling chaos in nonlinear optical resonators, Chaos, Solitons & Fractals, 11(5), pp.721-728, ISSN: 0960-0779. DOI: 10.1016/s0960-0779(98)00179-9.

LYNCH, S and CHRISTOPHER, CJ (1999) LIMIT CYCLES IN HIGHLY NON-LINEAR DIFFERENTIAL EQUATIONS, Journal of Sound and Vibration, 224(3), pp.505-517, ISSN: 0022-460X. DOI: 10.1006/jsvi.1999.2199.

Christopher, C and Lynch, S (1999) Small-amplitude limit cycle bifurcations for Liénard systems with quadratic or cubic damping or restoring forces, Nonlinearity, 12(4), pp.1099-1112, ISSN: 0951-7715. DOI: 10.1088/0951-7715/12/4/321.

Lynch, S (1999) Generalized cubic Liénard equations, Applied Mathematics Letters, 12(2), pp.1-6, ISSN: 0893-9659. DOI: 10.1016/s0893-9659(98)00139-6.

Lynch, S, Steele, AL, Hoad, JE (1998) Stability analysis of nonlinear optical resonators, Chaos, Solitons & Fractals, 9(6), pp.935-946, ISSN: 0960-0779. DOI: 10.1016/s0960-0779(97)00147-1.

Lynch, S (1998) Generalized quadratic Liénard equations, Applied Mathematics Letters, 11(3), pp.7-10, ISSN: 0893-9659. DOI: 10.1016/s0893-9659(98)00025-1.

Lynch, S (1997) Liénard systems and the second part of Hilbert's sixteenth problem, Nonlinear Analysis: Theory, Methods & Applications, 30(3), pp.1395-1403, ISSN: 0362-546X. DOI: 10.1016/s0362-546x(97)00200-9.

Ogusu, K, Steele, AL, Hoad, JE, Lynch, S (1997) Corrections To And Comments On "Dynamic Behavior Of Re Ection Optical Bistability In A Nonlinear Fiber Ring Resonator", IEEE Journal of Quantum Electronics, 33(11), pp.2128-2129, ISSN: 0018-9197. DOI: 10.1109/jqe.1997.641329.

Steele, AL, Lynch, S, Hoad, JE (1997) Analysis of optical instabilities and bistability in a nonlinear optical fibre loop mirror with feedback, Optics Communications, 137(1-3), pp.136-142, ISSN: 0030-4018. DOI: 10.1016/s0030-4018(96)00751-1.

Lynch, S (1995) Limit cycles of generalized Liénard equations, Applied Mathematics Letters, 8(6), pp.15-17, ISSN: 0893-9659. DOI: 10.1016/0893-9659(95)00078-5.

Lynch, S (1994) Small Amplitude Limit Cycles Of The Generalized Mixed Rayleigh-Liénard Oscillator, Journal of Sound and Vibration, 178(5), pp.615-620, ISSN: 0022-460X. DOI: 10.1006/jsvi.1994.1509.

Lynch, S (1990) Small-amplitude limit cycles of Liénard systems, Calcolo, 27(1-2), pp.1-32, ISSN: 0008-0624. DOI: 10.1007/bf02576145.

Lloyd, NG and Lynch, S (1988) Small-amplitude limit cycles of certain Liénard systems, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 418(1854), pp.199-208, ISSN: 0080-4630. DOI: 10.1098/rspa.1988.0079.

Conferences

Nyamapfene, A, Lynch, S, Burova, I, Andrade, MOD (2022) MATLAB and Python Open Book Assessments: Lessons from Two UK Institutions. In 2022 IEEE Global Engineering Education Conference (EDUCON), pp.2022-2027, DOI: 10.1109/educon52537.2022.9766577.

Nyamapfene, A and Lynch, S (2016) Systematic integration of MATLAB into undergraduate mathematics teaching: Preliminary lessons from two UK institutions. In 2016 IEEE Global Engineering Education Conference (EDUCON), pp.1145-1148, DOI: 10.1109/educon.2016.7474699.

Lynch, S, Borresen, J, Latham, K (2013) Josephson junction binary oscillator computing. In 2013 IEEE 14th International Superconductive Electronics Conference (ISEC), pp.1-3, DOI: 10.1109/isec.2013.6604275.

Rossiter, A, Lynch, S, Becerra, V, Irving, A (2012) Efficient and effective teaching and assessment with MATLAB. In , EE 2012 International Conference on Innovation Practice and Research in Engineering Education Conference Proceedings.

Steele, AL and Lynch, S (2004) Chaos synchronization of a passive fibre resonator using the auxiliary system and application to chaos masking. In Nonlinear Guided Waves and Their Applications, pp.MC15-MC15, DOI: 10.1364/nlgw.2004.mc15.

Lynch, S and Steele, AL (1998) Controlling Chaos in a Simple Nonlinear Fibre Resonator. In Nonlinear Guided Waves and Their Applications, pp.NThE.11-NThE.11, DOI: 10.1364/nlgw.1998.nthe.11.

Lynch, S (1996) Recent Results on Lienard Systems. In Bainov, D (ed) Sixth International Colloquium on Differential Equations, Plovdiv, Bulgaria, pp.151-157, ISBN: 9783112302781. DOI: 10.1515/9783112314050-020.

Books

Lynch, S (2025) Dynamical Systems with Applications using MATLAB, Springer International Publishing, ISBN: 978-3-031-89066-6. DOI: 10.1007/978-3-031-89067-3.

Lynch, S (2024) A Simple Introduction to Python, CRC Press, ISBN: 978-1032750293. DOI: 10.1201/9781003472759.

Lynch, S (2023) Python for Scientific Computing and Artificial Intelligence, CRC Press, ISBN: 978-1032258737. DOI: 10.1201/9781003285816.

Lynch, S (2018) Dynamical Systems with Applications using Python, Springer International Publishing, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7.

Lynch, S (2017) Dynamical Systems with Applications Using Mathematica®, Springer International Publishing, ISBN: 9783319614847. DOI: 10.1007/978-3-319-61485-4.

Lynch, S (2014) Dynamical Systems with Applications using MATLAB®, Springer International Publishing, ISBN: 9783319068190. DOI: 10.1007/978-3-319-06820-6.

Lynch, S (2010) Dynamical Systems with Applications using Maple, Birkhauser, ISBN: 978-0817643898. DOI: 10.1007/978-0-8176-4605-9.

Lynch, S (2007) Dynamical Systems with Applications using Mathematica®, Springer Nature, ISBN: 978-0-8176-4389-8. DOI: 10.1007/978-3-319-61485-4.

Lynch, S (2004) Dynamical Systems with Applications using MATLAB®, Birkhäuser Boston, ISBN: 9780817643218. DOI: 10.1007/978-0-8176-8156-2.

Lynch, S (2001) Dynamical Systems with Applications using Maple, Birkhauser, ISBN: 978-0817641504.

Chapters

Lynch, S (2025) A Tutorial Introduction to MATLAB. In Dynamical Systems with Applications Using MATLAB®, Springer Nature, pp.1-16, ISBN: 9783031890673. DOI: 10.1007/978-3-031-89067-3_1.

Lynch, S (2025) Linear Discrete Dynamical Systems. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.17-36, ISBN: 978-3-031-89066-6. DOI: 10.1007/978-3-031-89067-3_2.

Lynch, S (2025) Nonlinear Discrete Dynamical Systems. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.37-69, DOI: 10.1007/978-3-031-89067-3_3.

Lynch, S (2025) Complex Iterative Maps. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.71-84, DOI: 10.1007/978-3-031-89067-3_4.

Lynch, S (2025) Electromagnetic Waves and Optical Resonators. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.85-110, DOI: 10.1007/978-3-031-89067-3_5.

Lynch, S (2025) Fractals and Multifractals. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.111-138, DOI: 10.1007/978-3-031-89067-3_6.

Lynch, S (2025) Neural Networks and Neurodynamics. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.139-158, DOI: 10.1007/978-3-031-89067-3_7.

Lynch, S (2025) Image and Signal Processing. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.159-173, DOI: 10.1007/978-3-031-89067-3_8.

Lynch, S (2025) Differential Equations. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.175-202, DOI: 10.1007/978-3-031-89067-3_9.

Lynch, S (2025) Numerical Methods for ODEs and PDEs. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.203-216, DOI: 10.1007/978-3-031-89067-3_10.

Lynch, S (2025) Planar Systems. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.217-242, DOI: 10.1007/978-3-031-89067-3_11.

Lynch, S (2025) Interacting Species. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.243-256, DOI: 10.1007/978-3-031-89067-3_12.

Lynch, S (2025) Limit Cycles. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.257-282, DOI: 10.1007/978-3-031-89067-3_13.

Lynch, S (2025) Hamiltonian Systems, Lyapunov Functions, and Stability. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.283-299.

Lynch, S (2025) Bifurcation Theory. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.301-319.

Lynch, S (2025) Three-Dimensional Autonomous Systems and Chaos. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.321-347, DOI: 10.1007/978-3-031-89067-3_16.

Lynch, S (2025) Poincare Maps and Nonautonomous Systems in the Plane. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.349-372, DOI: 10.1007/978-3-031-89067-3_17.

Lynch, S (2025) Local and Global Bifurcations. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.373-394, DOI: 10.1007/978-3-031-89067-3_18.

Lynch, S (2025) The Second Part of Hilbert's Sixteenth Problem. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.395-416.

Lynch, S (2025) Delay Differential Equations. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.417-438, DOI: 10.1007/978-3-031-89067-3_20.

Lynch, S (2025) Chaos Control and Synchronisation. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.439-460, DOI: 10.1007/978-3-031-89067-3_21.

Lynch, S (2025) Simulink. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.461-474.

Lynch, S (2025) Binary Oscillator Computing. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.475-500, DOI: 10.1007/978-3-031-89067-3_23.

Lynch, S (2025) The Deep Learning Toolbox. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.501-521, DOI: 10.1007/978-3-031-89067-3_24.

Lynch, S (2025) Coursework and Examination-Type Questions. In Dynamical Systems with Applications using MATLAB, 3rd Ed, Springer Nature, pp.523-547, DOI: 10.1007/978-3-031-89067-3_25.

Lynch, S (2024) Python as a Powerful Calculator. In A Simple Introduction to Python, CRC Press, pp.1-6.

Lynch, S (2024) Simple Programming with Python. In A Simple Introduction to Python, CRC Press, pp.7-16.

Lynch, S (2024) The Turtle Library. In A Simple Introduction to Python, CRC Press, pp.18-23.

Lynch, S (2024) NumPy and MatPlotLib. In A Simple Introduction to Python, CRC Press, pp.24-31.

Lynch, S (2024) Google Colab, SymPy and GitHub. In A Simple Introduction to Python, CRC Press, pp.32-39.

Lynch, S (2024) Python for Mathematics. In A Simple Introduction to Python, CRC Press, pp.40-50.

Lynch, S (2024) Introduction to Cryptography. In A Simple Introduction to Python, CRC Press, pp.51-58.

Lynch, S (2024) An Introduction to Artificial Intelligence. In A Simple Introduction to Python, CRC Press, pp.59-67.

Lynch, S (2024) An Introduction to Data Science. In A Simple Introduction to Python, CRC Press, pp.68-78.

Lynch, S (2024) An Introduction to Object Oriented Programming. In A Simple Introduction to Python, CRC Press, pp.80-88.

Lynch, S (2023) The IDLE Integrated Development Learning Environment. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.1-18.

Lynch, S (2023) Anaconda, Spyder and the Libraries NumPy, Matplotlib and SymPy. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.21-32.

Lynch, S (2023) Jupyter Notebooks and Google Colab. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.33-44.

Lynch, S (2023) Python for AS-Level (High School) Mathematics. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.45-60.

Lynch, S (2023) Python for A-Level (High School) Mathematics. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.61-80.

Lynch, S (2023) Biology. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.81-94.

Lynch, S (2023) Chemistry. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.95-106.

Lynch, S (2023) Data Science. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.107-124.

Lynch, S (2023) Economics. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.125-138.

Lynch, S (2023) Engineering. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.139-152.

Lynch, S (2023) Fractals and Multifractals. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.153-166.

Lynch, S (2023) Image Processing. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.167-176.

Lynch, S (2023) Numerical Methods for Ordinary and Partial Differential Equations. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.177-190.

Lynch, S (2023) Physics. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.191-202.

Lynch, S (2023) Statistics. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.203-221.

Lynch, S (2023) Brain Inspired Computing. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.223-240.

Lynch, S (2023) Neural Networks and Neurodynamics. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.241-254.

Lynch, S (2023) TensorFlow and Keras. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.255-266.

Lynch, S (2023) Recurrent Neural Networks. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.267-284.

Lynch, S (2023) Convolutional Neural Networks, TensorBoard and Further Reading. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.285-298.

Lynch, S (2023) Answers and Hints to Exercises. In Python for Scientific Computing and Artificial Intelligence, CRC Press, pp.299-309.

Lynch, S (2018) Differential Equations. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.33-64, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_2.

Lynch, S (2018) Local and Global Bifurcations. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.245-269, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_10.

Lynch, S (2018) Interacting Species. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.95-111, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_4.

Lynch, S (2018) The Second Part of Hilbert’s Sixteenth Problem. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.271-296, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_11.

Lynch, S (2018) Neural Networks. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.519-555, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_20.

Lynch, S (2018) A Tutorial Introduction to Python. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.1-31, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_1.

Lynch, S (2018) Linear Discrete Dynamical Systems. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.327-346, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_13.

Lynch, S (2018) Solutions to Exercises. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.619-644, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_23.

Lynch, S (2018) Chaos Control and Synchronization. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.491-517, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_19.

Lynch, S (2018) Nonlinear Discrete Dynamical Systems. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.347-384, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_14.

Lynch, S (2018) Planar Systems. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.65-94, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_3.

Lynch, S (2018) Complex Iterative Maps. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.385-401, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_15.

Lynch, S (2018) Electromagnetic Waves and Optical Resonators. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.403-432, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_16.

Lynch, S (2018) Coursework and Examination-Type Questions. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.591-618, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_22.

Lynch, S (2018) Delay Differential Equations. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.297-325, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_12.

Lynch, S (2018) Hamiltonian Systems, Lyapunov Functions, and Stability. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.145-161, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_6.

Lynch, S (2018) Bifurcation Theory. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.163-184, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_7.

Lynch, S (2018) Three-Dimensional Autonomous Systems and Chaos. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.185-214, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_8.

Lynch, S (2018) Poincaré Maps and Nonautonomous Systems in the Plane. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.215-243, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_9.

Lynch, S (2018) Binary Oscillator Computing. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.557-589, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_21.

Lynch, S (2018) Limit Cycles. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.113-143, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_5.

Lynch, S (2018) Fractals and Multifractals. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.433-470, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_17.

Lynch, S (2018) Image Processing with Python. In Dynamical Systems with Applications using Python, Springer International Publishing, pp.471-489, ISBN: 9783319781440. DOI: 10.1007/978-3-319-78145-7_18.

Lynch, S (2017) A Tutorial Introduction to Mathematica. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.1-15, DOI: 10.1007/978-3-319-61485-4_1.

Lynch, S (2017) Differential Equations. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.17-44, DOI: 10.1007/978-3-319-61485-4_2.

Lynch, S (2017) Planar Systems. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.45-72, DOI: 10.1007/978-3-319-61485-4_3.

Lynch, S (2017) Interacting Species. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.73-87, DOI: 10.1007/978-3-319-61485-4_4.

Lynch, S (2017) Limit Cycles. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.89-117, DOI: 10.1007/978-3-319-61485-4_5.

Lynch, S (2017) Hamiltonian Systems, Lyapunov Functions, and Stability. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.119-133, DOI: 10.1007/978-3-319-61485-4_6.

Lynch, S (2017) Bifurcation Theory. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.135-153, DOI: 10.1007/978-3-319-61485-4_7.

Lynch, S (2017) Three-Dimensional Autonomous Systems and Chaos. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.155-183, DOI: 10.1007/978-3-319-61485-4_8.

Lynch, S (2017) Poincaré Maps and Nonautonomous Systems in the Plane. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.185-208, DOI: 10.1007/978-3-319-61485-4_9.

Lynch, S (2017) Local and Global Bifurcations. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.209-230, DOI: 10.1007/978-3-319-61485-4_10.

Lynch, S (2017) The Second Part of Hilbert’s Sixteenth Problem. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.231-256, DOI: 10.1007/978-3-319-61485-4_11.

Lynch, S (2017) Delay Differential Equations. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.257-283, DOI: 10.1007/978-3-319-61485-4_12.

Lynch, S (2017) Linear Discrete Dynamical Systems. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.285-304, DOI: 10.1007/978-3-319-61485-4_13.

Lynch, S (2017) Nonlinear Discrete Dynamical Systems. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.305-338, DOI: 10.1007/978-3-319-61485-4_14.

Lynch, S (2017) Complex Iterative Maps. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.339-351, DOI: 10.1007/978-3-319-61485-4_15.

Lynch, S (2017) Electromagnetic Waves and Optical Resonators. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.353-380, DOI: 10.1007/978-3-319-61485-4_16.

Lynch, S (2017) Fractals and Multifractals. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.381-415, DOI: 10.1007/978-3-319-61485-4_17.

Lynch, S (2017) Image Processing and Analysis with Mathematica. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.417-428.

Lynch, S (2017) Chaos Control and Synchronization. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.429-451, DOI: 10.1007/978-3-319-61485-4_19.

Lynch, S (2017) Neural Networks. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.453-484, DOI: 10.1007/978-3-319-61485-4_20.

Lynch, S (2017) Binary Oscillator Computing. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.485-507, DOI: 10.1007/978-3-319-61485-4_21.

Lynch, S (2017) Coursework and Examination-Type Questions. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.523-545, DOI: 10.1007/978-3-319-61485-4_23.

Lynch, S (2017) Solutions to Exercises. In Dynamical Systems with Applications using Mathematica, 2nd Ed, Springer Nature, pp.547-574, DOI: 10.1007/978-3-319-61485-4_24.

Lynch, S (2017) An Introduction to Wolfram SystemModeler. In Dynamical Systems with Applications Using Mathematica®, Springer International Publishing, pp.509-522, ISBN: 9783319614847. DOI: 10.1007/978-3-319-61485-4_22.

Lynch, S and Borresen, J (2015) Oscillations, Feedback and Bifurcations in Mathematical Models of Angiogenesis and Haematopoiesis. In Handbook of Vascular Biology Techniques, Springer Netherlands, pp.373-390, ISBN: 9789401797153. DOI: 10.1007/978-94-017-9716-0_29.

Lynch, S (2011) MATLAB® Programming for Engineers and Scientists. In Applications of Nonlinear Dynamics and Chaos in Engineering, Springer, pp.3-35, ISBN: 9783642219214. DOI: 10.1007/978-3-642-21922-1.

Lynch, S (2011) Nonlinear optical fibre resonators with applications in electrical engineering and computing. In Applications of Chaos and Nonlinear Dynamics in Engineering, Springer, pp.65-84, DOI: 10.1007/978-3-642-21922-1.

Lynch, S (2009) A Tutorial Introduction to Maple. In Dynamical Systems with Applications using Maple, 2nd Ed, Springer Nature, pp.1-15, DOI: 10.1007/978-0-8176-4605-9_1.

Lynch, S (2009) Differential Equations. In Dynamical Systems with Applications using Maple, 2nd Ed, Springer Nature, pp.17-42, DOI: 10.1007/978-0-8176-4605-9_2.

Lynch, S (2009) Planar Systems. In Dynamical Systems with Applications using Maple, 2nd Ed, Springer Nature, pp.43-69, DOI: 10.1007/978-0-8176-4605-9_3.

Lynch, S (2009) Interacting Species. In Dynamical Systems with Applications using Maple, 2nd Ed, Springer Nature, pp.71-85, DOI: 10.1007/978-0-8176-4605-9_4.

Lynch, S (2009) Limit Cycles. In Dynamical Systems with Applications using Maple, 2nd Ed, Springer Nature, pp.87-111, DOI: 10.1007/978-0-8176-4605-9_5.

Lynch, S (2009) Hamiltonian Systems, Lyapunov Functions, and Stability. In Dynamical Systems with Applications using Maple, 2nd Ed, Springer Nature, pp.113-127, DOI: 10.1007/978-0-8176-4605-9_6.

Lynch, S (2009) Bifurcation Theory. In Dynamical Systems with Applications using Maple, 2nd Ed, Springer Nature, pp.129-145, DOI: 10.1007/978-0-8176-4605-9_7.

Lynch, S (2009) Three-Dimensional Autonomous Systems and Chaos. In Dynamical Systems with Applications using Maple, Springer Nature, pp.141-171, DOI: 10.1007/978-0-8176-4605-9_8.

Lynch, S (2009) Poincaré Maps and Nonautonomous Systems in the Plane. In Dynamical Systems with Applications using Maple, Springer Nature, pp.173-196, DOI: 10.1007/978-0-8176-4605-9_9.

Lynch, S (2009) Local and Global Bifurcations. In Dynamical Systems with Applications using Maple, Springer Nature, pp.197-218, DOI: 10.1007/978-0-8176-4605-9_10.

Lynch, S (2009) The Second Part of Hilbert’s Sixteenth Problem. In Dynamical Systems with Applications using Maple, Springer Nature, pp.219-241, DOI: 10.1007/978-0-8176-4605-9_11.

Lynch, S (2009) Linear Discrete Dynamical Systems. In Dynamical Systems with Applications using Maple, Springer Nature, pp.243-261, DOI: 10.1007/978-0-8176-4605-9_12.

Lynch, S (2009) Nonlinear Discrete Dynamical Systems. In Dynamical Systems with Applications using Maple, Springer Nature, pp.263-295, DOI: 10.1007/978-0-8176-4605-9_13.

Lynch, S (2009) Complex Iterative Maps. In Dynamical Systems with Applications using Maple, Springer Nature, pp.297-307, DOI: 10.1007/978-0-8176-4605-9_14.

Lynch, S (2009) Electromagnetic Waves and Optical Resonators. In Dynamical Systems with Applications using Maple, Springer Nature, pp.309-335, DOI: 10.1007/978-0-8176-4605-9_15.

Lynch, S (2009) Fractals and Multifractals. In Dynamical Systems with Applications using Maple, Springer Nature, pp.337-370, DOI: 10.1007/978-0-8176-4605-9_16.

Lynch, S (2009) Chaos Control and Synchronization. In Dynamical Systems with Applications using Maple, Springer Nature, pp.371-393, DOI: 10.1007/978-0-8176-4605-9_17.

Lynch, S (2009) Neural Networks. In Dynamical Systems with Applications using Maple, Springer Nature, pp.395-426, DOI: 10.1007/978-0-8176-4605-9_18.

Lynch, S (2009) Simulation. In Dynamical Systems with Applications using Maple, Springer Nature, pp.427-444, DOI: 10.1007/978-0-8176-4605-9_19.

Lynch, S (2009) Examination-Type Questions. In Dynamical Systems with Applications using Maple, 2nd Ed, Springer Nature, pp.445-451, DOI: 10.1007/978-0-8176-4605-9_20.

Lynch, S (2009) Solutions to Exercises. In Dynamical Systems with Applications using Maple, Springer Nature, pp.453-474, DOI: 10.1007/978-0-8176-4605-9_21.

Lynch, S (2006) Symbolic computation of Lyapunov quantities and the second part of Hilbert's sixteenth problem. In Differential Equations with Symbolic Computation, Springer Science & Business Media, pp.1-22, ISBN: 9783764374297. DOI: 10.1007/3-7643-7429-2.

Internet Publications

Lynch, S (2024) A Simple Introduction to Python - Solution Notebook.

Lynch, S (2023) Python for Scientific Computing and Artificial Intelligence: Solutions for Section I.

Lynch, S (2023) Python for Scientific Computing and Artificial Intelligence - Solutions to Section II.

Lynch, S (2023) Python for Scientific Computing and Artificial Intelligence - Solutions to Section III.

Lynch, S (2022) Python for A-Level Mathematics and Beyond.

Lynch, S (2021) Python for A-Level Maths, Undergraduate Maths, and Employability.

Lynch, S (2018) Dynamical Systems with Applications using Python - Jupyter Notebook.

Lynch, S (2017) Dynamical Systems with Applications using Mathematica.

Lynch, S (2014) Dynamical Systems with Applications using MATLAB - MATLAB Central File Exchange.

Lynch, S (2010) Dynamical Systems with Applications using Maple.

Patents

Lynch, S, Borresen, J, Slevin, M (Accepted for publication) Cell assays, development of binary half-adder.

Lynch, S and Borresen, J (Accepted for publication) Binary Half-Adder using Oscillators (2012).