Professor

Stephen Lynch NTF FIMA SFHEA

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REFEREED ARTICLES

Articles in preparation:

  1. Lynch S (2029) Dynamical Systems with Applications using Maple, 3rd Edition, Springer International Publishing.
  2. Lynch S (2028) Dynamical Systems with Applications using Mathematica, 3rd Edition, Springer International Publishing. 
  3. Lynch S (2027) Python for Scientific Computing and Artificial Intelligence, 2nd Edition, CRC Press. 
  4. Lynch S (2026) MATLAB for Scientific Computing and Artificial Intelligence, CRC Press. 

Published or in press:

  1. Lynch ST, Derakhshan P & Lynch S (2026) A novel hybrid temporal fusion transformer graph neural network model for stock market prediction. AppliedMath (under review). 
  2. Whitehead KA, Wilson-Nieuwenhuis, Taylour J, Lynch S & Gomes L (2026) Effect of surface properties on the adsorption of soil from a simulated reused detergent suspension. Food and Bioproduct Processing (under review). 
  3. Lynch S (2025) Dynamical Systems with Applications using MATLAB 3rd Ed., Springer International Publishing. ISBN 978-3-031-89066-6 
  4. Lynch ST & Lynch S (2025) Hysteresis in neuron models with adapting feedback synapses, AppliedMath, 5(2), 70. Pdf 
  5. Lynch S (2025) EDI Article: An academic from a poor socio-economic background, Mathematics Today 61(1), 212-213. Pdf 
  6. Whitehead KA, Brown M, Caballero L, Lynch S, Edge M, Hill C, Verran J and 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(5), 5010005. Pdf 
  7. Lynch S (2024) A Simple Introduction to Python, CRC Press. ISBN 9781032750293 .
  8. Wilson-Nieuwenhuis J, Taylor 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, 112031. Pdf 
  9. Lynch S & Chongchitnan S (2024) Enhancing university mathematics with Python. Teaching and Learning Mathematics Online (TALMO). URL
  10. Whitehead KA, Lynch S, Amin M, Deisenroth T, Liauw CM and Verran J. (2023) Effects of cationic and ionic surfaces on the perpendicular and lateral binding forces and attachment, adhesion and retention of Aspergillus niger conidia. Nanomaterials 13(22), 2932. Pdf .
  11. Lynch S (2023) Python for Scientific Computing and Artificial Intelligence, CRC Press ISBN 978-1032258713 
  12. Bearon R & Lynch S (2022) Microswimmers and Computing at Leicester British Science Festival, Mathematics Today, IMA, 58(6), 184. Pdf
  13. Nyamapfene A, Lynch S,  Burova I and Oliveira de Andrade M (2022) MATLAB and Python open book assessments: Lessons from two UK institutions. IEEE EDUCON 2022, Tunisia, 9766577, 2022-2027. Pdf 
  14. Evans A, Slate AJ, Tobin M, Lynch S, Wilson-Nieuwenhuis J, Verran J, Kelly P and 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) 11050551. Pdf 
  15. Muthana MSA, Muthana A, Rafiq A,Khakimov A, Albelaly S, Elgendy, Hammoudeh M, Lynch S and Elboseny M (2022) Deep reinforcement learning based transmission policy enforcement and multi-hop routing in QoS aware LoRa IoT networks. Computer Communications 183(1), 33-50. Pdf 
  16. Whitehead KA, El Mohtadi M, Lynch S, Liauw CM, Amin M, Deisenroth T, Preuss A and Verran J (2021) Diverse surface properties reveal that substratum roughness affects fungal spore binding. iScience 24(4), 102333. Pdf 
  17. Lynch S (2021) Python for A-Level Maths, Undergraduate Maths and Employability, IMA Maths Careers, March. DOI 10.13140/RG.2.2.33398.93765. URL
  18. Mihalcea BM & Lynch S (2021) Investigations on dynamical stability in 3D quadrupole ion traps. Applied Sciences 11(7) 2938. Pdf 
  19. Slate AJ, Whitehead KA, Lynch S, Foster CW and Banks CE (2020) Electrochemical decoration of additively manufactured graphene macro electrodes with MoO2 nanowire: An approach to demonstrate the surface morphology, J. of Physical Chemistry C, 124(28) 15377-15385.  Pdf 
  20. Lynch S (2020) Programming in the mathematics curriculum at Manchester Metropolitan University, MSOR Connections, 18(2), 5-12. Pdf 
  21. Amin M, Rowley-Neale S, Shalamanova L, Lynch S, Wilson-Nieuwenhuis El Mohtadi M, Banks CE and Whitehead K (2020) Molybdenum disulphide surfaces to reduce staphylococcus aureus and pseudomonas aeruginosa biofilm formation, ACS Appl. Mater. Interfaces 12 (18), 21057-21069. Pdf 
  22. Lynch S, Borresen J, Roach P, Kotter M and Slevin MA (2020) Mathematical modelling of neuronal logic, memory and clocking circuits. International Journal of Bifurcation and Chaos, 30 2050003, 1-16. Pdf 
  23. Lynch S (2018) Dynamical Systems with Applications using Python, Springer International Publishing ISBN 978-3319781440 
  24. Lynch S (2017) Dynamical Systems with Applications using Mathematica 2nd ed. Springer International Publishing ISBN 978-3319614847 
  25. Moreira JMR, Gomes LC, Whitehead KA, Lynch S, Tetlow L and Mergulhao FJ (2017) Effect of surface conditioning with cellular extracts on Escherichia coli adhesion and initial biofilm formation. Food and Bioproducts Processing 104, 1-12. Pdf 
  26. Tetlow L, Lynch S, & Whitehead K (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, 332-339. Pdf 
  27. Ramos J, Lynch S, Jones DA & Degens H (2017) Hysteresis in muscle (Feature Article), International Journal of Bifurcation and Chaos 27, 1730003, 1-16. Pdf 
  28. Sharaby Y, Lynch S, & Hassan S (2016) Critical slowing down in an optical bistable model with a Kerr-nonlinear blackbody reservoir, Optik 127(21), 10195-10200. Pdf 
  29. 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 and Materials, 25(2), 1650021. Pdf 
  30. Nyamapfene A, & Lynch S (2016) Systematic integration of MATLAB into undergraduate mathematics teaching: Preliminary lessons from two UK institutions, IEEE EDUCON 2016,1145-1148. DOI: 10.1109/EDUCON.2016.7474699. 
  31. Lynch S, Borresen J & Slevin MA (2015) International patent: Cell assays, development of binary half-adder. Publication Number US 2015/0276707 A1. US 2015/0276707.
  32. Lynch S, Alharbey RA, Hassan SS, & Batarfi HA (2015) Delayed-dynamical bistability within and without rotating wave approximation, Journal of Nonlinear Optical Physics and Materials, 24(3), 1550037. Pdf 
  33. Lynch S Borresen J (2015) Oscillations, feedback and bifurcations in mathematical models of angiogenesis and haematopoiesis, in Handbook of Vascular Biology Techniques, Slevin M, McDowell G, Cao Y, Kitajewski J eds., Springer, New York, 373-390. ISBN 978-94-017-9715-3 
  34. Lynch S & Wilber J (2015) Manchester Metropolitan University students vote Math best overall course following adoption of MATLAB. MathWorks User Story - Reprinted in Societe Europeenne Pour La Formation Des Ingenieurs (SEFI) Annual Report, 23-24. Pdf 
  35. Bruggemeier B, Schusterreiter C, Pavlou H, Jenkins N, Lynch S & Bianchi A and Cai X (2014) Improving the utility of Drosophila melanogaster for neurodegenerative disease research by modelling courtship behaviour patterns, Technical Report for the UK NC3R’s and POEMs Maths Study Group meeting, 8th –12th September 2014. Pdf 
  36. Lynch S (2014) Brain Inspired Computing, Mathematics Today, IMA, 50(5), 262-264. Pdf
  37. Lynch S (2014) Dynamical Systems with Applications using MATLAB® 2nd ed., Springer, ISBN 9783319068190 
  38. Wickens D, Lynch S, Kelly P, West G, Whitehead K, and Verran J, (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, 101-108. Pdf 
  39. Sharaby YA, Lynch S, Hassan SS & Joshi A (2014) Bistable dynamics beyond rotating wave approximation, Journal of Nonlinear Optical Physics and Materials, 23(2) 1450019. Pdf 
  40. Alherbey RA, Nejad LAM, Lynch S & Hassan SS (2014) Critical slowing down in biological bistable models, International Journal of Pure and Applied Mathematics, 93(4), 581-602. Pdf 
  41. Lynch S & Borresen J, (2013) Josephson junction binary oscillator computing, Proceedings of the IEEE International Superconductive Electronics Conference, Cambridge, Massachusetts. Pdf 
  42. Al-Baradie R, Lynch S, Borresen J, Krupinski J, Slevin M (2013) CDP-choline neuroprotection and vascular remodelling via IRS-1 mechanisms in vascular dementia, Majmaah J. of Health Sciences 1 (1), 11-16. Pdf
  43. Lynch S & Wilber J (2013) Manchester Metropolitan University students vote Math best overall course following adoption of MATLAB, MathWorks User Story. Pdf 
  44. Borresen J & Lynch S (2012) Oscillatory Threshold Logic. PLoS ONE 7(11): e48498. doi:10.1371/journal.pone.0048498. Pdf 
  45. Wickens DJ, Lynch S, Kelly PJ, Verran J, West G, Whitehead KA (2012) Zirconium nitride-silver nanocomposites in the design of antimicrobial, fixation pin surface coatings, Int. J. of Artificial Organs, Nov 8:0. doi: 10.5301/ijao.5000156. Pdf 
  46. Lynch S & Borresen J (2012) Binary Half Adder using Oscillators, International Publication Number, WO 2012/001372 A1, 1-57. Pdf 
  47. Lynch S & Borresen J (2012) Binary Half Adder and Other Logic Circuits, UK Patent Number, GB 2481717 A, 1-57. Pdf 
  48. Rossiter A, Lynch S, Becerra V Irving A (2012) Efficient and effective teaching and assessment with MATLAB, Innovation, Practice and Research in Engineering Education EE Workshop, 1-4. Pdf 
  49. Lynch S (2011) MATLAB® Programming for Engineers and Scientists, Applications of Nonlinear Dynamics and Chaos in Engineering, Santo Banerjee, Mala Mitra, Lamberto Rondoni (Eds.), Springer, 1, 3-35. ISBN 3642219217 
  50. Lynch S & Steele AL (2011) Nonlinear Optical Fibre Resonators with Applications in Electrical Engineering and Computing, Applications of Nonlinear Dynamics and Chaos in Engineering, Santo Banerjee, Mala Mitra, Lamberto Rondoni (Eds.), Springer, 1, 65-84. ISBN 3642219217. 
  51. Borresen J & Lynch S (2010) Binary Half Adder and other Logic Circuits, UK patent pending application number 1011110.2. 
  52. Lynch S (2010) Dynamical Systems with Applications using Maple 2nd ed., Springer-Birkhäuser. ISBN: 0-8176-4389-3. 
  53. Borresen J & Lynch S (2009) Neuronal computers, Nonlinear Anal. Theory, Meth. & Appl., 71, 2372-2376. Pdf 
  54. Jiang J, Han M, Yu P & Lynch S (2007) Limit cycles in two types of symmetric Liénard systems, Int. J.of Bifurcation and Chaos, 17(6), 2169-2174. Pdf 
  55. Lynch S (2007) Dynamical Systems with Applications using Mathematica, Springer-Birkhäuser. ISBN 0-8176-4482-2. 
  56. Mills SL, Lees GC, Liauw CM, Rothon RN and Lynch S (2005) Prediction of physical properties following the dispersion assessment of flame retardant filler/polymer composites based on the multifractal analysis of SEM images, J. Macromolecular Sci. B- Physics, 44(6), 1137-1151. Pdf 
  57. Lynch S & Bandar Z (2005) Bistable neuromodules,  Nonlinear Anal. Theory, Meth. & Appl., 63(5-7), 669-677. Pdf 
  58. Lynch S (2005) Analysis of a blood cell population model, Int. J.of Bifurcation and Chaos, 15(7), 2311-2316. Pdf  
  59. Lynch S (2005) Symbolic computation of Lyapunov quantities and the second part of Hilbert's sixteenth problem, Differential Equations with Symbolic Computations,  Wang, Dongming; Zheng, Zhiming (Eds.),  Series: Trends in Mathematics, 1-26. ISBN: 3-7643-7368-7. 
  60. Lynch S (2004) Dynamical Systems with Applications using MATLAB, Springer-Birkhäuser. ISBN 0-8176-4321-4. 
  61. Mills SL, Lees G, Liauw C and Lynch S (2004) An improved method for the dispersion assessment of flame retardent filler/polymer systems based on the multifractal analysis of SEM images, Macromolecular Materials and Engineering, 289(10), 864-871. Pdf 
  62. Steele AL & Lynch S (2004) Chaos synchronization of a passive fibre resonator using the auxiliary system and applications to chaos masking, Nonlinear Guided Waves and Their Applications (Topical Meeting) on CD-ROM (The Optical Society of America, Washington, DC), MC15. 
  63. Lynch S (2002) Dynamical models with feedback using Maple, Proceedings of the MSW 2002, Waterloo. 
  64. Mills SL, Lees G, Liauw C and Lynch S (2002) Dispersion assessment of flame retardent filler/polymer systems using a combination of X-ray mapping and multifractal analysis, Polymer Testing, 21(8), 941-948. Pdf 
  65. Borreson J & Lynch S (2002) Further investigation of hysteresis in Chua's circuit, Int. J.of Bifurcation and Chaos, 12(1), 129-134. Pdf 
  66. Lynch S (2001) Dynamical Systems with Applications using Maple, Birkhäuser. ISBN 0-8176-4150-5. 
  67. Lynch S (2001) Mutistability, bistability and chaos control, Nonlinear Anal. Theory, Meth. & Appl., 47( 7), 4501-4512. Pdf 
  68. Lynch S & Steele AL (2000) Controlling chaos in nonlinear bistable optical resonators, Chaos, Solitons and Fractals, 11(5), 721-728. Pdf 
  69. Christopher CJ & Lynch S, Small-amplitude limit cycles of Liénard equations with either quadratic or cubic damping or restoring coefficients, Nonlinearity, 12(4), 1099-1112 (1999). Pdf 
  70. Lynch S & Christopher CJ, Limit cycles in highly non-linear differential equations, J. Sound and Vibration, 224(3), 505-517 (1999). Pdf 
  71. Lynch S Generalized Cubic Liénard Equations, Applied Math. Lett., 12(2), 1-6 (1999). Pdf 
  72. Lynch S, Steele A.L. & Hoad J.E., Stability analysis of nonlinear optical resonators, Chaos, Solitons and Fractals, 9(6), 935-946 (1998). Pdf 
  73. Lynch S Generalized quadratic Liénard equations, Applied Math. Lett., 11(3), 7-10 (1998). Pdf 
  74. Lynch S & Steele AL, Controlling chaos in a nonlinear simple fibre resonator, Nonlinear Guided Waves & Their Applications, vol.5, Technical Digest Series (Optical Society of America, Washington DC), 219-221 (1998). 
  75. Lynch S Liénard systems and the second part of Hilbert's sixteenth problem, Nonlinear Anal. Theory, Meth. & Appl., 30(3), 1395-1403 (1997). Pdf 
  76. Ogusu K, Steele AL, Hoad JE & Lynch S, Corrections to and comments on "Dynamic behaviour of reflection optical bistability in a nonlinear fibre ring resonator", IEEE J. Quantum Electron., 33(11), 2128-2129 (1997). Pdf 
  77. Steele AL, Lynch S & Hoad JE, Analysis of optical instabilities and bistability in a nonlinear optical fibre loop mirror with feedback, Optics Comm., 137(1-3), 136-142 (1997). Pdf 
  78. Mills S, Liauw C, Lees G & Lynch S, Assessment of filler dispersion using image analysis methods, Extended abstracts of the Euro-fillers '97 Conference, 259-262 (1997). Pdf 
  79. Lynch S Recent results on Liénard systems, Proceedings of the 6'th International Colloquium on Differential Equations, Bulgaria, 151-157, ed. D Bainov (1996). 
  80. Lynch S Limit cycles of generalized Liénard equations, Applied Math. Lett., 8(6), 15-17 (1995). Pdf 
  81. Lynch S Small amplitude limit cycles of the generalized mixed Rayleigh-Liénard oscillator, J. Sound and Vibration, 178(5), 615-620 (1994). Pdf 
  82. Lynch S More results on the bifurcation of limit cycles for systems of Liénard type, J. Egypt. Math. Soc., 2, 75-87 (1994). 
  83. Lynch S Small amplitude limit cycles of Liénard equations, Calcolo, Springer 127(1-2), 1-32 (1990). Pdf 
  84. Lloyd NG & Lynch S, Small amplitude limit cycles of certain Liénard systems, Proc. Roy. Soc. Lond. Ser. A, 418, 199-208 (1988). Pdf