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Michael Thompson: His Seminal Contributions to Nonlinear Dynamics – and Beyond

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References

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  98. F.A. McRobie & J.M.T. Thompson, Driven oscillators, knots, braids and Nielsen-Thurston theory, IUTAM Symposium on Nonlinearity and Chaos in Engineering Dynamics, London, 1993 (eds. J.M.T. Thompson & S.R. Bishop, Wiley, Chichester, 1994, 317–328).

  99. J.M.T. Thompson & F.A. McRobie, Indeterminate bifurcations and the global dynamics of driven oscillators, 1st European Nonlinear Oscillations Conference, Hamburg, 1993 (eds. E. Kreuzer et al., Akademie Verlag, Berlin, 1993, 107–128).

  100. J.M.T. Thompson, H.B. Stewart & Y. Ueda, Safe, explosive and dangerous bifurcations in dissipative dynamical systems, Phys. Rev. E, 49, 1019–1027 (1994).

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  102. T. Mitsui, Y. Ueda & J.M.T. Thompson, Straddle-orbit location of a chaotic saddle in a high-dimensional realization of R∞, Proc. R. Soc. London A, 445, 669–677 (1994).

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  103. E. Infeld, T. Lenkowska & J.M.T. Thompson, Erosion of the basin of stability of a floating body as caused by dam breaking, Phys. Fluids A, 5, 2315–2316 (1993).

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  104. A.G. MacMaster & J.M.T. Thompson, Wave tank testing and the capsizability of hulls, Proc. R. Soc. London A, 446, 217–232 (1994).

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  105. F.A. McRobie & J.M.T. Thompson, Braids and knots in driven oscillators, Int. J. Bifn Chaos, 3, 1343–1361 (1993).

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  106. E. Infeld, T. Lenkowska & J.M.T. Thompson, On the interaction of solitons with floating bodies, Nonlinear World, 1, 65–71 (1994).

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  107. F.A. McRobie & J.M.T. Thompson, Knot-types and bifurcation sequences of homoclinic and transient orbits of a single-degree-of-freedom driven oscillator, Dyn. Stab. Syst., 9, 223–251 (1994).

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  108. E. Infeld & J.M.T. Thompson, Vibrational coupling in floating bodies, J. Tech. Phy., 36, 49–59 (1995).

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  109. J.M.T. Thompson & A.R. Champneys, From helix to localized writhing in the torsional post-buckling of elastic rods, Proc. R. Soc. London A, 452, 117–138 (1996).

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  110. M.S. Soliman & J.M.T. Thompson, Indeterminate bifurcational phenomena in hardening systems, Proc. R. Soc. London A, 452, 487–494 (1996).

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  111. J.M.T. Thompson, Global dynamics of driven oscillators: fractal basins and indeterminate bifurcations, in Nonlinear Mathematics and its Applications, Chapter 1 (ed. P.J. Aston), Cambridge University Press, Cambridge, 1996, 1–47.

  112. A.R. Champneys & J.M.T. Thompson, A multiplicity of localized buckling modes for twisted rod equations, Proc. R. Soc. London A, 452, 2467–2491 (1996).

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  113. J.M.T. Thompson & J.R. de Souza, Suppression of escape by resonant modal interactions: in shell vibration and heave-roll capsize, Proc. R. Soc. London A, 452, 2527–2550 (1996).

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  114. J.M.T. Thompson, Danger of unpredictable failure due to indeterminate bifurcation, ZAMM, S4, 199–202 (1996).

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  115. G. Baker, F.A. McRobie & J.M.T. Thompson, Implications of chaos theory for engineering science, Proc. Inst. Mech. Eng., C 211, 349–363 (1997).

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  116. A.R. Champneys, G.W. Hunt & J.M.T. Thompson, Localization and solitary waves in solid mechanics, Phil. Trans. R. Soc. London A, 355, 2077–2081 (1997).

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  117. A.R. Champneys, G.H.M. van der Heijden & J.M.T. Thompson, Spatially complex localization after one-twist-per-wave equilibria in twisted circular rods with initial curvature, Phil. Trans. R. Soc. London A, 355, 2151–2174 (1997).

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  118. J.M.T. Thompson, Designing against capsize in beam seas: recent advances and new insights, Appl. Mech. Rev., 50, 307–325 (1997).

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  119. G.H.M. van der Heijden & J.M.T. Thompson, Lock-on to tape-like behaviour in the torsional buckling of anisotropic rods, Physica D, 112, 201–224 (1998).

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  120. J.M.T. Thompson & G.H.M. van der Heijden, Homoclinic orbits, spatial chaos and localized buckling, IUTAM Symposium on, New Applications of Nonlinear and Chaotic Dynamics in Mechanics, Cornell, 1997 (ed. F.C. Moon, Kluwer, Dordrecht, 1999, 127–138).

  121. A.A. Popov, J.M.T. Thompson & F.A. McRobie, Low dimensional models of shell vibrations: parametrically excited vibrations of cylindrical shells, J. Sound Vib., 209, 163–186 (1998).

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  122. G.H.M. van der Heijden, A.R. Champneys & J.M.T. Thompson, The spatial complexity of localized buckling in rods with non-circular cross-section, SIAM J. Appl. Math., 59, 198–221 (1999).

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  123. S. Foale, J.M.T. Thompson & F.A. McRobie, Numerical dimension-reduction methods for nonlinear shell vibrations, J. Sound Vib., 215, 527–545 (1998).

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  124. G.H.M. van der Heijden & J.M.T. Thompson, Helical and localised buckling in twisted rods: A unified analysis of the symmetric case, Nonlinear Dyn., 21, 71–99 (2000).

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  125. J.M.T. Thompson, G.H.M. van der Heijden & A.R. Champneys, Twisting, writhing and buckling of pipelines, Offshore Pipeline Technology Conference, Oslo, 1998 (IBC UK Conferences, London, 1998).

  126. A.A. Popov, J.M.T. Thompson & J.G.A. Croll, Bifurcation analyses in the parametrically excited vibrations of cylindrical panels, Nonlinear Dyn., 17, 205–225 (1998).

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  127. F.B.J. Macmillen & J.M.T. Thompson, Bifurcation analysis in the flight dynamics design process? A view from the aircraft industry, Phil. Trans. R. Soc. London A, 356, 2321–2333 (1998).

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  128. G.H.M. van der Heijden, A.R. Champneys & J.M.T. Thompson, Spatially complex localisation in twisted elastic rods constrained to lie in the plane, J. Mech. Phys. Solids, 47, 59–79 (1999).

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  129. C.R. Laing, F.A. McRobie & J.M.T. Thompson, The post-processed Galerkin method applied to non-linear shell vibrations, Dyn. Stab. Syst., 14, 163–181 (1999).

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  130. F.A. McRobie, A.A. Popov & J.M.T. Thompson, Auto-parametric resonance in cylindrical shells using geometric averaging, J. Sound Vib., 227, 65–84 (1999).

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  131. J.M.T. Thompson, Philosophical Transactions into the 21st century: An editorial, Phil. Trans. R. Soc. London A, 357, 3187–3195 (1999).

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  132. N. Morgan & J.M.T. Thompson, Engineering and the physical sciences: The EPSRC takes an informal look into the future, Phil. Trans. R. Soc. London A, 357, 3205–3220 (1999).

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  133. K.J. Spyrou & J.M.T. Thompson, Damping coefficients for extreme rolling and capsize: an analytical approach, J. Ship Res., 44, 1–13 (2000).

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  134. K.J. Spyrou & J.M.T. Thompson, The nonlinear dynamics of ship motions: a field overview and some recent developments, Phil. Trans. R. Soc. London A, 358, 1735–1760 (2000).

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  135. A.A. Popov, J.M.T. Thompson & F.A. McRobie, Chaotic energy exchange through auto-parametric resonance in cylindrical shells, J. Sound Vib., 248, 395–411 (2001).

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  1. Chadwick Professor of Civil Engineering at UCL, 1961-1969, 64 Westfield, 15 Kidderpore Avenue, London, NW3 7SG, UK

    Lord Chilver

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Chilver, L. Michael Thompson: His Seminal Contributions to Nonlinear Dynamics – and Beyond. Nonlinear Dyn 43, 3–16 (2006). https://doi.org/10.1007/s11071-006-0761-y

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