Dr Stephen Lynch
Dr Stephen Lynch National Teaching Fellow and FIMA SFHEA
Reader
My profile
Biography
Personal web pages: https://drstephenlynch.github.io/webpages/
I am a National Teaching Fellow (NTF) with Advance HE (Higher Education). I won the award for my work in Widening Participation (WP), programming in the Maths curriculum, and my interdisciplinary research feeding into teaching.
https://www.advance-he.ac.uk/ntfs/dr-stephen-lynch
I am a Reader, a Fellow of the Institute of Mathematics and Its Applications (FIMA) and a Senior Fellow of the Higher Education Academy (SFHEA). I am Chair of the North-West Branch of the Institute of Mathematics and its Applications (IMA). I was concurrently an Associate Lecturer with the Open University (2008-2012). In 2010, I volunteered as a STEM Ambassador and in 2014 I became a Speaker for Schools. I am a Public Engagement Champion at MMU. My research area is in Dynamical Systems and I am a world leader in the use of Maths packages in teaching, learning, assessment, research and employability. I am the co-inventor of binary oscillator computing. I am the author of eight books. Note that all of my Springer books have accompanying working programs that can be downloaded from the web. According to Springer, chapters for my books have been downloaded over 700,000 times. Working with the IMA, I deliver one-day national workshops in the UK on “Python for A-Level Mathematics and Beyond.” I also deliver 5-day international workshops on “Python for Scientfic Computation and TensorFlow for Artificial Intelligence.”
Academic and professional qualifications
1985: BSc Single Honours in Pure Mathematics (UCW Aberystwyth)
1988: PhD Bifurcation of Limit Cycles of Lienard Systems (UCW Aberystwyth)
Other academic service (administration and management)
Deputy Head of Department of Computing & Mathematics (2019-2020)
Chair of the North West Branch of the Institute of Maths & its Applications (IMA)
Programme Leader Mathematics (2005-present)
Schools Liaison Coordinator (2000-present)
Languages
Spanish Castillian
External examiner roles
External Reviewer at University of Salford (2022)
External Adviser for the Maths Septennial Review at Plymouth University (2016)
External Examiner at Coventry University (2008-2013)
Expert reviewer
Mathematical Reviews
The Institute of Physics
The London Mathematical Society
Book reviewer for Springer and CRC Press
Consultancy and advisory roles
Python for A-Level Maths and Beyond
Python for Scientific Computing and TensorFlow for Artificial Intelligence
Membership of professional associations
2022: National Teaching Fellow
2016: Senior Fellow of the Higher Education Academy
2015: Fellow of the Institute of Mathematics and Its Applications
1990-2015: Member of the London Mathematical Society
Projects
Binary Oscillator Computing
Building an Assay for Neuronal Degradation
Multifractal Analysis to Measure Density, Dispersion and Clustering
Programming in the Mathematics Curriculum
Python for Scientific Computing and TensorFlow for Artificial Intelligence
Interdisciplinary Research
Teaching
Subject areas
Linear Algebra
Dynamical Systems
Foundation Computing 2
RISE Workshop: Python for Scientific Computing and TensorFlow for Artificial Intelligence
Why study…
Mathematics along with Python/MATLAB/R makes you extremely employable!
Postgraduate teaching
For 25 years, I have been running Python/MATLAB workshops for academics, technicians and both undergraduate and postgraduate students at MMU and both nationally and internationally.
Supervision
1994-1999: Steve Mills (Multifractal Analysis in Polymers)
2010-2014: David Wickens (Multifractal Analysis in Microbiology)
2013-2017: Jorgelina Ramos (Hysteresis in Muscle)
I have also mentored about 200 PhD students in MATLAB/Python since 2005.
Research outputs
Research expertise
Dynamical Systems including, ODEs, multifractals, neurodynamics, nonlinear optical resonators, muscle cross bridge dynamics and binary oscillator computing which I co-invented!
Mathematics Packages in Teaching, Learning, Assessment and Research
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Books (authored/edited/special issues)
Lynch, S. (2024) A simple introduction to python.
Lynch, S. (2023) Python for Scientific Computing and Artificial Intelligence. Boca Raton: CRC Press.
Lynch, S. (2018) Dynamical Systems with Applications using Python. Springer.
Lynch, S. (2017) Dynamical Systems with Applications using Mathematica, 2nd Edition. Springer International Publishing.
Lynch, S. (2014) Dynamical Systems with Applications using MATLAB 2nd Edition. Springer International Publishing/Birkhäuser Basel.
Lynch, S. (2007) Dynamical Systems with Applications using Mathematica.
Lynch, S. (2007) Dynamical Systems with Applications using Maple TM. Springer.
Lynch, S. (2004) Dynamical Systems with Applications using MATLAB. Springer.
Lynch, S. (2001) Dynamical Systems With Applications Using Maple. Birkhauser.
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Chapters in books
Lynch, S. (2018) 'Limit Cycles.' Dynamical Systems with Applications using Python.
Lynch, S. (2018) 'Linear Discrete Dynamical Systems.' Dynamical Systems with Applications using Python.
Lynch, S. (2018) 'A Tutorial Introduction to Python.' Dynamical Systems with Applications using Python.
Lynch, S. (2018) 'Fractals and Multifractals.' Dynamical Systems with Applications using Python.
Lynch, S. (2018) 'Chaos Control and Synchronization.' Dynamical Systems with Applications using Python.
Lynch, S. (2018) 'Image Processing with Python.' Dynamical Systems with Applications using Python.
Lynch, S. (2018) 'Neural Networks.' Dynamical Systems with Applications using Python.
Lynch, S. (2018) 'Binary Oscillator Computing.' Dynamical Systems with Applications using Python.
Lynch, S. (2018) 'Coursework and Examination-Type Questions.' Dynamical Systems with Applications using Python.
Lynch, S. (2018) 'Electromagnetic Waves and Optical Resonators.' Dynamical Systems with Applications using Python.
Lynch, S. (2018) 'Planar Systems.' Dynamical Systems with Applications using Python. Springer International Publishing,
Lynch, S. (2018) 'Delay Differential Equations.' Dynamical Systems with Applications using Python.
Lynch, S. (2018) 'Interacting Species.' Dynamical Systems with Applications using Python.
Lynch, S. (2018) 'Bifurcation Theory.' Dynamical Systems with Applications using Python.
Lynch, S. (2018) 'Hamiltonian Systems, Lyapunov Functions and Stability.' Dynamical Systems with Applications using Python.
Lynch, S. (2018) 'Poincaré Maps and Nonautonomous Systems in the Plane.' Dynamical Systems with Applications using Python.
Lynch, S. (2018) 'Three-Dimensional Autonomous Systems and Chaos.' Dynamical Systems with Applications using Python.
Lynch, S. (2018) 'The Second Part of Hilbert’s Sixteenth Problem.' Dynamical Systems with Applications using Python.
Lynch, S. (2018) 'Local and Global Bifurcations.' Dynamical Systems with Applications using Python.
Lynch, S. (2018) 'Solutions to Exercises.' Dynamical Systems with Applications using Python.
Lynch, S. (2018) 'Differential Equations.' Dynamical Systems with Applications using Python. Springer International Publishing,
Lynch, S. (2018) 'Nonlinear Discrete Dynamical Systems.' Dynamical Systems with Applications using Python.
Lynch, S. (2018) 'Complex Iterative Maps.' Dynamical Systems with Applications using Python.
Lynch, S. (2017) 'An Introduction to Wolfram SystemModeler.' Dynamical Systems with Applications using Mathematica, 2nd Ed..
Lynch, S. (2017) 'A Tutorial Introduction to Mathematica.' Dynamical Systems with Applications using Mathematica, 2nd Ed..
Lynch, S., Borresen, J. (2015) 'Oscillations, feedback and bifurcations in mathematical models of angiogenesis and haematopoiesis.' Handook of Techniques in Vascular Biology. Springer,
Lynch, S. (2014) 'Electromagnetic Waves and Optical Resonators.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 79-105.
Lynch, S. (2014) 'Poincaré Maps and Nonautonomous Systems in the Plane.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 311-334.
Lynch, S. (2014) 'Bifurcation Theory.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 265-282.
Lynch, S. (2014) 'Neural Networks.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 377-411.
Lynch, S. (2014) 'Local and Global Bifurcations.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 335-354.
Lynch, S. (2014) 'The Image Processing Toolbox.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 139-150.
Lynch, S. (2014) 'A Tutorial Introduction to MATLAB.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 1-14.
Lynch, S. (2014) 'Solutions to Exercises.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 481-504.
Lynch, S. (2014) 'Binary Oscillator Computing.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 435-455.
Lynch, S. (2014) 'The Second Part of Hilbert’s Sixteenth Problem.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 355-376.
Lynch, S. (2014) 'Nonlinear Discrete Dynamical Systems.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 33-65.
Lynch, S. (2014) 'Chaos Control and Synchronization.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 413-434.
Lynch, S. (2014) 'Complex Iterative Maps.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 67-78.
Lynch, S. (2014) 'Hamiltonian Systems, Lyapunov Functions and Stability.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 249-263.
Lynch, S. (2014) 'Electromagnetic Waves and Optical Resonators.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 79-105.
Lynch, S. (2014) 'Three Dimensional Autonomous Systems and Chaos.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 283-309.
Lynch, S. (2014) 'Fractals and Multifractals.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 107-138.
Lynch, S. (2014) 'Simulink.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 457-467.
Lynch, S. (2014) 'Differential Equations.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 151-178.
Lynch, S. (2014) 'Planar Systems.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 179-205.
Lynch, S. (2014) 'Interacting Species.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 207-221.
Lynch, S. (2014) 'Limit Cycles.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 223-247.
Lynch, S. (2014) 'Electromagnetic Waves and Optical Resonators.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 79-105.
Lynch, S. (2014) 'Linear Dynamical Systems.' Dynamical Systems with Applications using MATLAB¯. Springer International Publishing, pp. 15-32.
Lynch, S. (2011) 'MATLAB® Programming for Engineers and Scientist.' In Banerjee, S., Mitra, M., Rondoni, L. (ed.) Applications of Chaos and Nonlinear Dynamics in Engineering -. Springer Verlag,
Lynch, S., Steele, A.L. (2011) 'Nonlinear optical fibre resonators with applications in electrical engineering and computing.' Applications of Chaos and Nonlinear Dynamics in Engineering-Vol. 1. Springer Berlin Heidelberg, pp. 65-84.
Lynch, S. (2011) 'MATLAB Programming for Engineers.' Applications of Chaos and Nonlinear Dynamics in Engineering-Vol. 1. Springer Berlin Heidelberg, pp. 3-35.
Lynch, S. (2010) 'A Tutorial Introduction to Maple.' Dynamical Systems with Applications using Maple?‘. Birkhäuser Boston, pp. 1-15.
Lynch, S. (2010) 'Nonlinear Discrete Dynamical Systems.' Dynamical Systems with Applications using Maple?‘. Springer International Publishing, pp. 263-295.
Lynch, S. (2010) 'Nonlinear discrete dynamical systems.' Dynamical Systems with Applications using Maple?‘. Birkhäuser Boston, pp. 263-295.
Lynch, S. (2010) 'Chaos control and synchronization.' Dynamical Systems with Applications using Maple?‘. Birkhäuser Boston, pp. 371-393.
Lynch, S. (2007) 'Chaos Control and Synchronization.' Dynamical Systems with Applications using Mathematica¯. Birkhäuser Boston, pp. 363-385.
Lynch, S. (2007) 'A Tutorial Introduction to Mathematica.' Dynamical Systems with Applications using Mathematica¯. Springer, pp. 1-15.
Lynch, S. (2005) 'Differential Equations with Symbolic Computation.' In Wang, D., Zheng, Z. (ed.) Differential Equations with Symbolic Computation. Springer,
Lynch, S. (2005) 'Symbolic computation of Lyapunov quantities and the second part of Hilbert’s sixteenth problem.' Differential Equations with Symbolic Computation. Birkhäuser Basel, pp. 1-22.
Lynch, S. (2001) 'Limit Cycles of Liénard Systems.' Dynamical Systems with Applications using MAPLE. Springer, pp. 193-204.
Lynch, S. (2001) 'Controlling Chaos.' Dynamical Systems with Applications using MAPLE. Springer, pp. 329-345.
Lynch, S. (2001) 'Linear Systems in the Plane.' Dynamical Systems with Applications using MAPLE. Springer, pp. 35-49.
Lynch, S. (2001) 'Analysis of Nonlinear Optical Resonators.' Dynamical Systems with Applications using MAPLE. Springer, pp. 283-294.
Lynch, S. (2001) 'Multifractals.' Dynamical Systems with Applications using MAPLE. Springer, pp. 313-328.
Lynch, S. (2001) 'The Second Part of David Hilbert’s Sixteenth Problem.' Dynamical Systems with Applications using MAPLE. Springer, pp. 181-192.
Lynch, S. (2001) 'Nonlinear Systems in the Plane.' Dynamical Systems with Applications using MAPLE. Springer, pp. 51-64.
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Internet publications
Lynch, S. (2021) Python for A-Level Maths, Undergraduate Maths and Employability. https://www.mathscareers.org.uk/python-for-a-level-maths-undergraduate-maths-and-employability/.
Lynch, S., Wilber, J. (2013) Manchester Metropolitan University students vote Math best overall course following adoption of MATLAB. http://www.mathworks.co.uk/company/user_stories/Manchester-Metropolitan-University-Students-Vote-Math-Best-Overall-Course-Following-Adoption-of-MATLAB.html.
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Journal articles
Wilson-Nieuwenhuis, J., Taylour, J., Gomes, L.C., Lynch, S., Whitehead, D., Whitehead, K.A. (2024) 'Non-chlorine detergent formulations as an alternative for unpasteurised milk removal from stainless steel surfaces.' Journal of Food Engineering, 374
Whitehead, K.A., Lynch, S., Amin, M., Deisenroth, T., Liauw, C.M., Verran, J. (2023) 'Effects of Cationic and Anionic Surfaces on the Perpendicular and Lateral Forces and Binding of Aspergillus niger Conidia.' Nanomaterials, 13(22)
Lynch, S., Slate, A., Evans, A., Kelly, P., Verran, J., Whitehead, K.A. (2022) 'Surface Topography on the Distribution, Density, Dispersion and Clustering of Differently Organised Coccal-Shaped Bacteria.' Antibiotics, 11(5)
Muthanna, M.S.A., Muthanna, A., Rafiq, A., Hammoudeh, M., Alkanhel, R., Lynch, S., Abd El-Latif, A.A. (2021) 'Deep reinforcement learning based transmission policy enforcement and multi-hop routing in QoS aware LoRa IoT networks.' Computer Communications, 183pp. 33-50.
Mihalcea, B.M., Lynch, S. (2021) 'Investigations on Dynamical Stability in 3D Quadrupole Ion Traps.' Applied Sciences, 11(7) pp. 2938-2938.
Whitehead, K.A., Liauw, C.M., 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.
Lynch, S. (2020) 'Programming in the Mathematics Curriculum at Manchester Metropolitan University.' MSOR Connections, 18(2)
Slate, A.J., Whitehead, K.A., Lynch, S., Foster, C.W., Banks, C.E. (2020) 'Electrochemical Decoration Of Additively Manufactured Graphene Macroelectrodes With Moo2 Nanowires: An Approach To Determine The Surface Morphology.' The Journal of Physical Chemistry C, 124(28) pp. 15377-15385.
Amin, M., Rowley-Neale, S.J., Shalamanova, L., Lynch, S., Wilson-Nieuwenhuis, J., El Mohtadi, M., Banks, C.E., Whitehead, K.A. (2020) 'Molybdenum Disulphide Surfaces to Reduce Staphylococcus aureus and Pseudomonas aeruginosa Biofilm Formation.' ACS applied materials & interfaces, 12(18) pp. 21057-21069.
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) pp. 2050003-2050003.
Moreira, J.M.R., Gomes, L.C., Whitehead, K.A., Lynch, S., Tetlow, L.A., Mergulhão, F.J. (2017) 'Effect of surface conditioning with cellular extracts on Escherichia coli adhesion and initial biofilm formation.' Food and Bioproducts Processing, 104pp. 1-12.
Lynch, S., Ramos, J., Jones, D.A., Degens, H. (2017) 'Hysteresis in muscle.' International Journal of Bifurcation and Chaos, 27(1) pp. 1730003-1730003.
Tetlow, L.A., Lynch, S., Whitehead, K.A. (2017) 'The effect of surface properties on bacterial retention: a study utilising stainless steel and TiN/25.65at.%Ag substrata.' Food and Bioproducts Processing, 102pp. 332-339.
Sharaby, Y.A., Hassan, S.S., Lynch, S. (2016) 'Critical slowing down in an optical bistable model with Kerr-nonlinear blackbody reservoir.' Optik - International Journal for Light and Electron Optics, 127(21) pp. 10195-10200.
Lynch, S., sharaby, Y., Hassan, S.S. (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) pp. 1650021-1.
Lynch, S., Borresen, J. (2016) 'Bifurcation and stability analysis of bistable neuromodules.'
Lynch, S., Alharbey, R.A., Batarfi, H.A., Hassan, S.S. (2015) 'Delayed-dynamical optical bistability within and without the rotating wave approximation.' Journal of Nonlinear Optical Physics and Materials, 24(3)
Wickens, D., Lynch, S., West, G., Kelly, P., Verran, J., Whitehead, K.A. (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
Alherbey, R., Nejad, L., Lynch, S., Hassan, S. (2014) 'Critical slowing down in biological bistable models.' International Journal of Pure and Applied Mathematics, 93pp. 581-602.
Sharaby, Y., Lynch, S., Joshi, A., Hassan, S.S. (2014) 'Bistable dynamics beyond rotating wave approximation.' Journal of Nonlinear Optical Physics and Materials, 23(2) pp. 1450019-1450019.
Lynch, S. (2014) 'Brain Inspired Computing.' Mathematics Today, IMA, 50pp. 262-264.
Lynch, S., Borresen, J., Murgatroyd, C., Slevin, M. (2014) 'An Assay for Neuronal Degradation.'
Lynch, S., Borresen, J., Latham, K. (2013) 'Josephson junction binary oscillator computing.' 2013 IEEE 14th InternationalSuperconductive Electronics Conference, ISEC 2013,
Borresen, J., Lynch, S. (2013) 'Brain Power.'
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 Journal of Health Sciences, 1pp. 11-16.
Rossiter, A., Lynch, S., Becerra, V., Irving, A. (2012) 'Efficient and effective teaching and assessment with MATLAB.' EE 2012 - International Conference on Innovation, Practice and Research in Engineering Education, Conference Proceedings,
Borresen, J., Lynch, S. (2012) 'Oscillatory threshold logic..' PLoS One, 7(11)
Wickens, D.J., West, G., Kelly, P.J., Verran, J., Lynch, S., Whitehead, K.A. (2012) 'Antimicrobial activity of nanocomposite zirconium nitride/silver coatings to combat external bone fixation pin infections..' Int J Artif Organs, 35(10) pp. 817-825.
Borresen, J., Lynch, S. (2009) 'Neuronal computers.' Nonlinear Analysis, Theory, Methods and Applications, 71(12)
Jiang, J., Han, M., Yu, P., Lynch, S. (2007) 'Limit Cycles in Two Types of Symmetric LiÉnard Systems..' Int. J. Bifurc. Chaos, 17pp. 2169-2174.
Lynch, S., Bandar, Z.G. (2005) 'Bistable neuromodules.' Nonlinear Analysis, Theory, Methods and Applications, 63(5-7)
Mills, S.L., Lees, G.C., Liauw, C.M., Rothon, R.N., 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 - Physics, 44 B(6) pp. 1137-1151.
Lynch, S. (2005) 'Analysis of a Blood Cell Population Model..' Int. J. Bifurc. Chaos, 15pp. 2311-2316.
Milis, S.L., Lees, G.C., Liauw, C.M., 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.
Mills, S.L., Lees, G.C., Liauw, C.M., Lynch, S. (2004) 'Cover Picture: Macromol. Mater. Eng. 10/2004.' Macromolecular Materials and Engineering, 289pp. 845-845.
Borresen, J., Lynch, S. (2002) 'Further Investigation of Hysteresis in Chua's Circuit..' Int. J. Bifurc. Chaos, 12pp. 129-134.
Mills, S.L., Lees, G.C., Liauw, C.M., 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.
Lynch, S. (2001) 'Multistability, bistability and chaos control.' Nonlinear Analysis, Theory, Methods and Applications, 47(7) pp. 4501-4512.
Lynch, S., Steele, A.L. (2000) 'Controlling chaos in nonlinear optical resonators.' Chaos, solitons and fractals, 11(5) pp. 721-728.
Lynch, S., Christopher, C.J. (1999) 'Limit cycles in highly non-linear differential equations.' Journal of Sound and Vibration, 224(3) pp. 505-517.
Christopher, C., 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.
Lynch, S. (1999) 'Generalized cubic liénard equations.' Applied Mathematics Letters, 12(2) pp. 1-6.
Lynch, S. (1998) 'Generalized quadratic Liénard equations.' Applied Mathematics Letters, 11(3) pp. 7-10.
Lynch, S., Steele, A.L., Hoad, J.E. (1998) 'Stability analysis of nonlinear optical resonators.' CHAOS SOLITONS & FRACTALS, 9(6) pp. 935-946.
Steele, A.L., Lynch, S., Hoad, I.E. (1997) 'Analysis of optical instabilities and bistability in a nonlinear optical fibre loop mirror with feedback.' Optics Communications, 137(1-3) pp. 136-142.
Ogusu, K., Steele, A.L., Hoad, J.E., Lynch, S. (1997) 'Corrections To And Comments On Dynamic Behavior Of Reflection Optical Bistability In A Nonlinear Fiber Ring Resonator.' Quantum Electronics, IEEE Journal of, 33pp. 2128-2129.
Ogusu, K., Steele, A.L., Head, J.E., Lynch, S. (1997) 'Dynamic behavior of reflection optical bistability in a nonlinear fiber ring resonator (vol 32, pg 1537, 1996).' IEEE JOURNAL OF QUANTUM ELECTRONICS, 33(11) pp. 2128-2129.
Lynch, S. (1997) 'Liénard systems and the second part of Hilbert's sixteenth problem.' Nonlinear Analysis, Theory, Methods and Applications, 30(3) pp. 1395-1403.
Lynch, S. (1995) 'Limit cycles of generalized Liénard equations.' Applied Mathematics Letters, 8(6) pp. 15-17.
Lynch, S. (1994) 'Small Amplitude Limit Cycles Of The Generalized Mixed Rayleigh-Liénard Oscillator.' Journal of Sound and Vibration, 178(5) pp. 615-620.
Lynch, S. (1994) 'More results on the bifurcation of limit cycles for systems of Liénard type.' Journal of the Egyptian Mathematical Society, 2pp. 75-87.
Lynch, S. (1990) 'Small-amplitude limit cycles of Liénard systems.' Calcolo, 27(1-2) pp. 1-32.
Lynch, S., Lloyd, N. (1988) 'Small-amplitude limit cycles of certain Liénard systems.' Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 418(1854) pp. 199-208.
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Conference papers
Nyamapfene, A., Lynch, S., Burova, I., Andrade, M.O.D. (2022) 'MATLAB and Python Open Book Assessments: lessons from two UK institutions.' 28/3/2022 - 31/3/2022. IEEE, pp. 2022-2027.
Nyamapfene, A., Lynch, S. (2016) 'Systematic integration of MATLAB into undergraduate mathematics teaching: Preliminary lessons from two UK institutions.' In EDUCON. 10-13-April-2016. pp. 1145-1148.
Lynch, S., Lynch, S., Borresen, J., Latham, K. (2013) 'Josephson junction binary oscillator computing.' In International Superconductive Electronics Conference. Cambridge, Massachusetts, 7/7/2013 - 11/7/2013. IEEE, pp. 1-3.
Steele, A.L., Lynch, S. (2004) 'Chaos synchronization of a passive fibre resonator using the auxiliary system and applications to chaos masking.' Optical Society of America, pp. MC15-MC15.
Lynch, S. (2002) 'Dynamical models with feedback using Maple.' Maplesoft,
Lynch, S. (1997) 'Lienard systems and the second part of Hilbert's sixteenth problem.' In 2nd World Congress of Nonlinear Analysis. 30. ATHENS, GREECE, 10/7/1996 - 17/7/1996. PERGAMON-ELSEVIER SCIENCE LTD, pp. 1395-1403.
Mills S, L.S. (1997) 'Assessment of filler dispersion using image analysis methods.' pp. 259-262.
Lynch, S. (1996) 'Recent results on Lienard systems.' In 6th International Colloquium on Differential Equations. PLOVDIV, BULGARIA, 18/8/1995 - 23/8/1995. Bainov, D. (ed.) VSP BV, pp. 151-157.
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Theses and dissertations
Lynch, S. (1988) Small Amplitude Limit cycles of Lienard Equations.
Lynch, S. (1988) Bifurcation of limit cycles in systems of Liénard type..
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Patents
Lynch, S., Borresen, J., Slevin, M. (2016) Assay utilising cellular binary half-adder system.
Lynch, S., Borresen, J., Slevin, M.A. (2015) Cell Assays.
Lynch, S., Borresen, J. (2012) Binary half adder and other logic circuits.
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Other
Buggemeir, B., Shustereiter, C., Pavlou, H., Jenkins, N., Lynch, S. (2014) Improving the utility of Drosophila melanogaster for neurodegenerative disease research by modelling courtship behaviour patterns.
Press and media
BBC Radio 4 Interview on Material World:
http://www.bbc.co.uk/programmes/b01p7ddm
National Teaching Fellow: