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Computing, Mathematics & Digital Technology Staff

Dr Stephen  Lynch

Senior Lecturer

Academic Interests

  • Teaching
  • Administration
  • Research

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

Professional Highlights

  • Member of the LMS and NW Branch NCETM

Management Responsibilities

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

Recent External Roles

  • External Examiner for Coventry University (2008-2013)
  • Referee for LMS, IOP and Mathematical Reviews
  • Schools Liaison
  • Associate Lecturer with the Open University (2008-2012)
  • STEM Ambassador

Professional Activities

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

Selected Publications

International Patents

  1. Lynch S, Borresen J, Slevin MA, International patent, Development of Binary Half Adder. Patent application number US14/230511 (2014).
  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. 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 (in press) Oscillations, feedback and bifurcations in mathematical models of angiogenesis and haematopoiesis, in Handbook of Techniques in Vascular Biology, Slevin M, McDowell G, Cao Y, Kitajewski J eds., Springer, New York (2014).
  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. Lynch S, Brain Inspired Computing, Mathematics Today, The IMA (in press, 2014).
  2. 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.
  3. 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.
  4. 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.
  5. Borresen J, Lynch S Oscillatory threshold logic, PLoS ONE 7(11): e48498. doi:10.1371/journal.pone.0048498 (2012).
  6. 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).
  7. Borresen J & Lynch S, Neuronal computers, Nonlinear Anal. Theory, Meth. & Appl., 71, 2372-2376 (2009).
  8. 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

Contact

Email:s.lynch@mmu.ac.uk

Tel:+44 (0)161 2473587

Room:E116

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