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Computing, Mathematics & Digital Technology Staff

Dr Stephen  Lynch FIMA SFHEA

Senior Lecturer

Teaching Specialisms

  • Mathematics
  • Computer Algebra

Research Interests

  • 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

Management Responsibilities

  • Programme Leader Mathematics (2005-2013)
  • Schools Liaison

Recent External Roles

  • Senior Fellow of the Higher Education Academy
  • Fellow of the Institute of Mathematics and Its Applications
  • STEM Ambassador and Speaker for Schools
  • Referee for LMS, IOP and Mathematical Reviews
  • Schools Liaison Coordinator
  • External Examiner at Coventry University (2008-2013)

Professional Activities

  • Beta tester for Maplesoft™,MathWorks® and Wolfram Research®

Selected Publications

International Patents

  1. Lynch S, Borresen J, Slevin MA, International Patent, Cell Assays: Development of Binary Half Adder. Publication Number US 2015/0276707 A1, October 1st, 1-9 (2015).
  2. Lynch S & Borresen J, International Patent Number WO 2012/001372 A1, Binary Half-Adder using Oscillators (PDR/CLR/PM328208WO), January 5th, 1-57 (2012).
UK Patent
  1. Lynch S & Borresen J, Binary Half Adder and Other Logic Circuits, UK Patent Number GB 2481717 A, Priority Data 1011110.2, 1-57 (2012).
Conference Proceedings
  1. Nyamapfene A & Lynch S, Systematic integration of MATLAB into undergraduate mathematics teaching: Preliminary lessons from two UK institutions, IEEE EDUCON, Abu Dhabi, UAE (2016) [in press].
  2. Lynch S & Borresen J, Josephson junction binary oscillator computing, Proceedings of the IEEE International Superconductive Electronics Conference, Cambridge, Massachusetts (2013). 10.1109/ISEC.2013.6604275.
Invited Book Chapters
  1. Lynch S & Borresen J, 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 (2015). ISBN 9789401797153.
  2. Lynch S and Steele AL, 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 (2011). ISBN 3642219217.
  3. Lynch S, Symbolic computation of Lyapunov quantities and the second part of Hilbert's sixteenth problem, Differential Equations with Symbolic Computations, Wang, Dongming; Zheng, Zhiming (Eds.), Birkhauser, Series: Trends in Mathematics, 1-26 (2005). ISBN: 3-7643-7368-7 .
Books
  1. Lynch S, Dynamical Systems with Applications using MATLAB® 2nd Edition, Springer-Birkhäuser (2014). ISBN 9783319068190.
  2. Lynch S, Dynamical Systems with Applications using Maple™ 2nd Edition, Springer-Birkhäuser (2010). ISBN 0817643893.
  3. Lynch S, Dynamical Systems with Applications using Mathematica®, Springer-Birkhäuser (2007). ISBN 0817644822.
Journal Papers
  1. Ramos J, Lynch S, Jones DA and Degens H, Hysteresis in muscle, to be submitted (2016).
  2. Lynch S, Alharbey RA, Hassan SS, & Batarfi HA, Delayed-dynamical bistability within and without rotating wave approximation, Journal of Nonlinear Optical Physics and Materials, 24(3), 1550037 (2015) [17 pages].
  3. Lynch S, Brain Inspired Computing, Mathematics Today, The IMA, 50(5), 262-264 (2014).
  4. Wickens D, Lynch S, Kelly P, West G, Whitehead K, and Verran J, 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 (2014). DOI:10.1016/j.mimet.2014.07.005.
  5. Alherbey RA, Nejad LAM, Lynch S & Hassan SS, Critical slowing down in biological bistable models, International Journal of Pure and Applied Mathematics, 93(4), 581-602 (2014). DOI: 10.12732/ijpam.v93i4.8.
  6. Sharaby YA, Lynch S, Hassan SS & Joshi A, Bistable dynamics beyond rotating wave approximation, Journal of Nonlinear Optical Physics and Materials 23(2), 1450019 (2014) [19 pages] DOI: 10.1142/S0218863514500192.
  7. Borresen J, Lynch S Oscillatory threshold logic, PLoS ONE 7(11): e48498. doi:10.1371/journal.pone.0048498 (2012).
  8. Wickens DJ, West G, Kelly PJ, Verran J, Lynch S, Whitehead KA, Antimicrobial activity of nanocomposite zirconium nitride/silver coatings to combat external bone fixation pin infections, Int. J. Artif. Organs Nov 8:0. DOI: 10.5301/ijao.5000156 (2012).
  9. Borresen J & Lynch S, Neuronal computers, Nonlinear Anal. Theory, Meth. & Appl., 71, 2372-2376 (2009).
  10. Jiang J, Han Maoan, Yu Pei & Lynch S, Limit cycles in two types of symmetric Liénard systems, Int. J. of Bifurcation and Chaos, 17(6), 2169-2174 (2007).

Stephen Lynch  FIMA SFHEA

Contact

Email:s.lynch@mmu.ac.uk

Tel:+44 (0)161 2473587

Room:E116

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