Journal Articles
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 (2022)
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.
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, ISSN: 2589-0042. DOI:
10.1016/j.isci.2021.102333.
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.
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.
(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.
Chapters
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)
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 (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.
