Refereed Articles

  1. Jones D.A., Gilliver S.F., Lynch S. & Degens H., The decay of force following ramp and hold stretches of single skinned muscle fibres from the rat soleus muscle: to be submitted, J. of Physiology (2012).
  2. Jones D.A., Gilliver S.F., Lynch S. & Degens H., The effects of raised phosphate and reduced activating calcium on the response to stretch of skinned single muscle fibres from the rat soleus: to be submitted, J. of Physiology (2012).
  3. Lynch S. & Borresen J., Binary Half Adder using Oscillators, International Publication Number, WO 2012/001372 A1, 1-57 (2012).
  4. Lynch S. & Borresen J., Binary Half Adder and Other Logic Circuits, UK Patent Number, GB 2481717 A, 1-57 (2012).
  5. Lynch S., 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 (2011). ISBN 3642219217 .
  6. Lynch S. and Steele A.L., 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.
  7. Borresen J. & Lynch S., Binary Half Adder and other Logic Circuits, UK patent pending application number 1011110.2 (2010).
  8. Lynch, S., Dynamical Systems with Applications using Maple 2nd ed., Springer-Birkhäuser, (2010). ISBN: 0-8176-4389-3.
  9. Borresen J. & Lynch S., Neuronal computers, Nonlinear Anal. Theory, Meth. & Appl., 71, 2372-2376 (2009).
  10. Jiang J., Han M., Yu P. & Lynch S., Limit cycles in two types of symmetric Liénard systems, Int. J.of Bifurcation and Chaos, 17(6), 2169-2174 (2007).
  11. Lynch, S, Dynamical Systems with Applications using Mathematica, Springer-Birkhäuser, (2007). ISBN 0-8176-4482-2.
  12. Mills S.L., Lees G.C., Liauw C.M., Rothon R.N. and Lynch S., 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 (2005).
  13. Lynch S. and Bandar Z., Bistable neuromodules,  Nonlinear Anal. Theory, Meth. & Appl., 63(5-7), 669-677 (2005).
  14. Lynch S., Analysis of a blood cell population model, Int. J.of Bifurcation and Chaos, 15(7), 2311-2316 (2005).
  15. 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.),  Series: Trends in Mathematics, 1-26 (2005). ISBN: 3-7643-7368-7.
  16. Lynch, S., Dynamical Systems with Applications using MATLAB, Springer-Birkhäuser, (2004). ISBN 0-8176-4321-4.
  17. Mills S.L., Lees G., Liauw C. and Lynch S., 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 (2004).
  18. Steele A.L. & Lynch S, 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, 2004), MC15.
  19. Lynch S., Dynamical models with feedback using Maple, Proceedings of the MSW 2002, Waterloo (2002).
  20. Mills S.L., Lees G., Liauw C. and Lynch S., Dispersion assessment of flame retardent filler/polymer systems using a combination of X-ray mapping and multifractal analysis, Polymer Testing, 21(8), 941-948 (2002).
  21. Borreson J. & Lynch S., Further investigation of hysteresis in Chua's circuit, Int. J.of Bifurcation and Chaos, 12(1), 129-134 (2002).
  22. Lynch, S., Dynamical Systems with Applications using Maple, Birkhäuser, (2001). ISBN 0-8176-4150-5.
  23.  Lynch S., Mutistability, bistability and chaos control, Nonlinear Anal. Theory, Meth. & Appl., 47( 7), 4501-4512 (2001).
  24. Lynch S. & Steele A.L., Controlling chaos in nonlinear bistable optical resonators, Chaos, Solitons and Fractals, 11(5), 721-728 (2000).
  25. Christopher C.J & Lynch S., Small-amplitude limit cycles of Liénard equations with either quadratic or cubic damping or restoring coefficients, Nonlinearity, 12(4), 1099-1112 (1999).
  26. Lynch S. and Christopher CJ, Limit cycles in highly non-linear differential equations, J. Sound and Vibration, 224(3), 505-517 (1999).
  27. Lynch S., Generalized Cubic Liénard Equations, Applied Math. Lett., 12(2), 1-6 (1999).
  28. Lynch S., Steele A.L. & Hoad J.E., Stability analysis of nonlinear optical resonators, Chaos, Solitons and Fractals, 9(6), 935-946 (1998).
  29. Lynch S., Generalized quadratic Liénard equations, Applied Math. Lett., 11(3), 7-10 (1998).
  30. Lynch S. & Steele A.L., 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).
  31. Lynch S., Liénard systems and the second part of Hilbert's sixteenth problem, Nonlinear Anal. Theory, Meth. & Appl., 30(3), 1395-1403 (1997).
  32. Ogusu K., Steele A.L., Hoad J.E. & 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).
  33. Steele A.L., Lynch S. & Hoad J.E., Analysis of optical instabilities and bistability in a nonlinear optical fibre loop mirror with feedback, Optics Comm., 137(1-3), 136-142 (1997).
  34. 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).
  35. Lynch S., Recent results on Liénard systems, Proceedings of the 6'th International Colloquium on Differential Equations, 151-157, ed. D Bainov (1996).
  36. Lynch S., Limit cycles of generalized Liénard equations, Applied Math. Lett., 8(6), 15-17 (1995).
  37. Lynch S., Small amplitude limit cycles of the generalized mixed Rayleigh-Liénard oscillator, J. Sound and Vibration, 178(5), 615-620 (1994).
  38. Lynch S., More results on the bifurcation of limit cycles for systems of Liénard type, J. Egypt. Math. Soc., 2, 75-87 (1994).
  39. Lynch S., Small amplitude limit cycles of Liénard equations, Calcolo, 127(1-2), 1-32 (1990).
  40. Lloyd N.G. & Lynch S., Small amplitude limit cycles of certain Liénard systems, Proc. Roy. Soc. Lond. Ser. A, 418, 199-208 (1988).