Published Papers
[1] J.M.T. Thompson, Elastic buckling of thin
spherical shells, Symp. Nuclear Reactor
Containment Buildings & Pressure Vessels, Glasgow, May 1960 (ed. A.S.T.
Thomson, et al, Butterworths,
[2] J.M.T. Thompson, Making of thin metal shells
for model stress analysis, J. Mech. Engng
Sci., 2, 105-108 (1960).
[3] J.M.T. Thompson, Stability of elastic
structures and their loading devices, J.
Mech. Engng Sci., 3, 153-162
(1961).
[4] J.M.T. Thompson, The elastic instability of a
complete spherical shell, Aero. Quart.,
13, 189-201 (1962).
[5] J.M.T. Thompson, The post-buckling of a
spherical shell by computer analysis, World Conf. Shell Structures, San Francisco, Oct 1962 (ed. S.J. Medwadowski, et al, National Academy of Sciences,
Washington, 1964, pp 181-188).
[6] J.M.T. Thompson, Basic principles in the
general theory of elastic stability, J.
Mech. Phys. Solids, 11, 13-20
(1963).
[7] J.M.T. Thompson, The rotationally-symmetric
branching behaviour of a complete spherical shell, Proc. R. Neth. Acad. Sci., 67B,
295-311 (1964).
[8] J.M.T. Thompson, Eigenvalue branching
configurations and the Rayleigh-Ritz procedure, Q. Appl. Math., 22,
244-251 (1964).
[9] J.M.T. Thompson, Discrete branching points in
the general theory of elastic stability, J.
Mech. Phys. Solids, 13, 295-310
(1965).
[10] J.M.T. Thompson, Dynamic buckling under step
loading, Int. Conf. Dynamic Stability of
Structures, Northwestern University, Oct 1965 (ed. G. Herrmann, Pergamon
Press, Oxford, 1966, pp 215-236).
[11] J.M.T. Thompson, Localized Rayleigh functions
for structural and stress analysis, Int.
J. Solids & Structures, 3,
285-292 (1967).
[12] J.M.T. Thompson, The estimation of elastic
critical loads, J. Mech. Phys. Solids,
15, 311-317 (1967).
[13] J.M.T. Thompson, Towards a general
statistical theory of imperfection-sensitivity in elastic post-buckling, J. Mech. Phys. Solids, 15, 413-417 (1967).
[14] J.M.T. Thompson & A.C. Walker, The
nonlinear perturbation analysis of discrete structural systems, Int. J. Solids & Structures, 4, 757-768 (1968).
[15] J.M.T. Thompson, The branching analysis of
perfect and imperfect discrete structural systems. J. Mech. Phys. Solids, 17,
1-10 (1969).
[16] J.M.T. Thompson & A.C. Walker, A general
theory for the branching analysis of discrete structural systems, Int. J. Solids & Structures, 5, 281-288 (1969).
[17] J.M.T. Thompson & G.W. Hunt, Perturbation
patterns in nonlinear branching theory, IUTAM Symp. Instability of Continuous Systems, Herrenalb, Sept 1969 (ed. H.
Leipholz, Springer, Berlin, 1971, pp 338-343).
[18] J.M.T. Thompson & G.W. Hunt, Comparative
perturbation studies of the elastica, Int.
J. Mech. Sci., 11, 999-1014
(1969).
[19] J.M.T. Thompson, A general theory for the
equilibrium and stability of discrete conservative systems, J. Appl. Math. Phys. (ZAMP), 20, 797-846 (1969).
[20] J.M.T. Thompson, A new approach to elastic
branching analysis, J. Mech. Phys. Solids,
18, 29-42 (1970).
[21] J.M.T. Thompson, Basic theorems of elastic
stability, Int. J. Engng Sci., 8, 307-313 (1970).
[22] J.M.T. Thompson, On the simulation of a
gravitational field by a centrifugal field, Int.
J. Mech. Sci., 13, 979-986
(1971).
[23] J.M.T. Thompson & G.W. Hunt, A theory for
the numerical analysis of compound branching, J. Appl. Math. Phys. (ZAMP), 22,
1001-1015 (1971).
[24] J.M.T. Thompson & G.M. Lewis, On the
optimum design of thin-walled compression members, J. Mech. Phys. Solids, 20,
101-109 (1972).
[25] J.M.T. Thompson, Optimization as a generator
of structural instability, Int. J. Mech.
Sci., 14, 627-629 (1972).
[26] J.M.T. Thompson & G.M. Lewis, Continuum
and finite element branching studies of the circular plate, Computers & Structures, 2, 511-534 (1972).
[27] J.M.T. Thompson & W.J. Supple, Erosion of
optimum designs by compound branching phenomena, J. Mech. Phys. Solids, 21,
135-144 (1973).
[28] J.M.T. Thompson, An introduction to elastic
stability, in Structural Instability
(ed. W.J. Supple), IPC Science & Technology Press, Guildford, 1973, pp
9-27.
[29] J.M.T. Thompson, An engineering approach to
interactive buckling, Int. J. Mech. Sci.,
16, 335-336 (1974).
[30] J.M.T. Thompson, J.D. Tulk & A.C. Walker,
An experimental study of imperfection-sensitivity in the interactive buckling
of stiffened plates, IUTAM Symp. Buckling
of Structures, Harvard, June 1974 (ed. B. Budiansky, Springer,
[31] J.M.T. Thompson & G.W. Hunt, Dangers of
structural optimization, Engineering
Optimization, 1, 99-110 (1974).
[32] J.M.T. Thompson & P.A. Shorrock,
Bifurcational instability of an atomic lattice, J. Mech. Phys. Solids, 23,
21-37 (1975).
[33] J.M.T. Thompson, Experiments in catastrophe, Nature, 254, 392-395 (1975). [See also page 381]
[34] J.M.T. Thompson, Instabilities, bifurcations
and catastrophes, Physics Letters, 51A, 201-203 (1975).
[35] J.M.T. Thompson, Designing against
catastrophe, 3rd Int. Cong. Cybernetics
& Systems, World Organization of General Systems & Cybernetics,
Bucharest, Aug 1975 (ed. J. Rose, et al,
Springer, Berlin, 1977, Vol II, pp 445-454).
[36] J.M.T. Thompson, Catastrophe theory in
elasticity and cosmology, Conf. Singularities
& their Applications, Cargese, Sept 1975 (ed. F. Pham,
[37] J.M.T. Thompson & G.W. Hunt, Towards a
unified bifurcation theory, J. Appl.
Math. Phys. (ZAMP), 26, 581-604
(1975).
[38] J.M.T. Thompson & P.A. Shorrock,
Hyperbolic umbilic catastrophe in crystal fracture, Nature, 260, 598-599
(1976).
[39] J.M.T. Thompson, Catastrophe theory and its
role in applied mechanics, 14th IUTAM Congress Theoretical & Applied
Mechanics, Delft, Aug 1976 (ed. W.T. Koiter, North-Holland, Amsterdam,
1977, pp 451-458).
[40] J.M.T. Thompson & G.W. Hunt, The
instability of evolving systems, Interdisciplinary
Science Reviews, 2, 240-262
(1977).
[41] J.M.T. Thompson, Bifurcational aspects of
catastrophe theory, Conf. Bifurcation
Theory & Applications in Scientific Disciplines, New York, Oct 1977 (Annals, New York Academy of Sciences, 316, 553-571, 1979).
[42] J.M.T. Thompson & Z. Gaspar, A buckling
model for the set of umbilic catastrophes, Math.
Proc. Camb. Phil. Soc., 82,
497-507 (1977).
[43] J.M.T. Thompson & G.W. Hunt, A
bifurcation theory for the instabilities of optimization and design, Synthese, 36, 315-351 (1977).
[44] J.M.T. Thompson, Imperfection-sensitivity
uninfluenced by pre-stress, Int. J. Mech.
Sci., 20, 57-58 (1978).
[45] J.M.T. Thompson, J.K.Y. Tan & K.C. Lim,
On the topological classification of post-buckling phenomena, J. Struct. Mech., 6, 383-414 (1978).
[46] J.M.T. Thompson, An evolution game for a
prey-predator ecology, Bulletin of the
Inst. Maths. Applics, 15,
162-167 (1979).
[47] J.M.T. Thompson, Stability predictions
through a succession of folds, Phil.
Trans. R. Soc. Lond., A 292, No
1386, 1-23 (1979).
[48] J.M.T. Thompson & R.J. Thompson,
Numerical experiments with a strange attractor, Bulletin of the Inst. Maths. Applics, 16, 150-154 (1980).
[49] J.M.T. Thompson, Static and dynamic
instabilities in the physical sciences, J.
Eng. Sci., Univ. Riyadh, 6,
71-96 (1980).
[50] J.M.T. Thompson & T.S. Lunn,
Resonance-sensitivity in dynamic Hopf bifurcations under fluid loading, Appl. Math. Modelling, 5, 143-150 (1981).
[51] J.M.T. Thompson & T.S. Lunn, Static
elastica formulations of a pipe conveying fluid, J. Sound & Vibration, 77,
127-132 (1981).
[52] J.M.T. Thompson, Paradoxical mechanics under
fluid flow, Nature, 296, 135-137 (1982).
[53] J.M.T. Thompson, Catastrophe theory in
mechanics: progress or digression, J.
Struct. Mech., 10, 167-175
(1982).
[54] J.M.T. Thompson & R. Ghaffari, Chaos
after period-doubling bifurcations in the resonance of an impact oscillator, Physics Letters, 91A, 5-8 (1982).
[55] J.M.T. Thompson & R. Ghaffari, Complex
dynamics of bilinear systems: bifurcational instabilities leading to chaos,
IUTAM Symp. Collapse: The Buckling of
Structures in Theory & Practice, University College London, Aug 1982
(ed. J.M.T. Thompson & G.W. Hunt, Cambridge Univ. Press, Cambridge, 1983,
pp 161-174).
[56] J.M.T. Thompson & R. Ghaffari, Chaotic
dynamics of an impact oscillator, Physical
Review, 27A, 1741-1743 (1983).
[57] J.M.T. Thompson & G.W. Hunt, On the
buckling and imperfection-sensitivity of arches with and without prestress, Int. J. Solids & Structures, 19, 445-459 (1983).
[58] J.M.T. Thompson, On the convection of a cusp
in elastic stability, J. Mech. Phys.
Solids, 31, 205-222 (1983).
[59] J.M.T. Thompson, Complex dynamics of
compliant off-shore structures, Proc. R.
Soc. Lond., A 387, 407-427
(1983).
[60] J.M.T. Thompson, A.R. Bokaian & R. Ghaffari, Subharmonic resonances and chaotic motions of a bilinear oscillator, IMA J. Appl. Maths, 31, 207-234 (1983).
[63] J.M.T. Thompson, L.M. Leung & H.B. Stewart, On the topological structure of the Birkhoff-Shaw strange attractor, in Computational Methods & Expl Measurements (ed. C.A. Brebbia & G.A. Keramidas), Comp. Mech. Centre, Southampton, 1984, pp 8.23-8.35.
[64] J.M.T. Thompson, An introduction to nonlinear
dynamics, Appl. Math. Modelling. 8, 157-168 (1984).
[65] J.M.T. Thompson & J.S.N. Elvey,
Elimination of sub-harmonic resonances of compliant marine structures, Int. J. Mech. Sci., 26, 419-426 (1984).
[66] J.M.T. Thompson & H.B. Stewart, Folding
and mixing in the Birkhoff-Shaw chaotic attractor, Physics Letters, 103A,
229-231 (1984).
[67] J.M.T. Thompson, A.R. Bokaian & R.
Ghaffari, Subharmonic and chaotic motions of compliant offshore structures and
articulated mooring towers, J. Energy
Resources Technology (Trans ASME), 106,
191-198 (1984).
[68] J.M.T. Thompson & L.N. Virgin, Predicting
a jump to resonance using transient maps and beats, Int. J. Nonlinear Mechanics, 21,
205-216 (1986).
[69] H.B. Stewart & J.M.T. Thompson, Towards a
classification of generic bifurcations in dissipative dynamical systems, Dynamics & Stability of Systems, 1, 87-96 (1986).
[70] J.M.T. Thompson, S.R. Bishop & L.M.
Leung, Fractal basins and chaotic bifurcations prior to escape from a potential
well, Physics Letters, 121A, 116-120 (1987).
[71] J.M.T.
Thompson, The Principia and
contemporary mechanics: chaotic dynamics and the new unpredictability, Notes Rec. R. Soc. Lond., 42, 97-122 (1988).
[72] J.M.T. Thompson & L.N. Virgin, Spatial
chaos and localization phenomena in nonlinear elasticity, Physics Letters, 126A,
491-496 (1988).
[73] J.M.T. Thompson & S.R. Bishop, From
[74] J.M.T. Thompson, Chaotic dynamics and the
Newtonian legacy, Appl. Mech. Rev., 42, 15-25 (1989).
[75] J.M.T. Thompson, Chaotic phenomena triggering
the escape from a potential well, Proc.
R. Soc. Lond., A 421, 195-225
(1989).
[76] J.M.T. Thompson, New frontiers in nonlinear
dynamics and chaos, 2nd National Congress Mechanics,
[77] J.M.T. Thompson, Loss of engineering
integrity due to the erosion of absolute and transient basin boundaries, IUTAM
Symp. Nonlinear Dynamics in Engineering
Systems, Stuttgart, Aug 1989 (ed. W. Schiehlen, Springer, Berlin, 1990, pp
313-320).
[78] G.W. Hunt, H.M. Bolt & J.M.T. Thompson,
Structural localization phenomena and the dynamical phase-space analogy, Proc. R. Soc. Lond., A 425, 245-267 (1989).
[79] J.M.T. Thompson & Y. Ueda, Basin boundary
metamorphoses in the canonical escape equation, Dynamics & Stability of Systems, 4, 285-294 (1989).
[80] M.S. Soliman & J.M.T. Thompson, Integrity
measures quantifying the erosion of smooth and fractal basins of attraction, J. Sound & Vibration, 135, 453-475 (1989).
[81] F. Aghamohammadi & J.M.T. Thompson, An
experimental study of the large amplitude fish-tailing instabilities of a
tanker at a single point mooring, Appl.
Ocean Research, 12, 25-33
(1990).
[82] J.M.T. Thompson & M.S. Soliman, Fractal
control boundaries of driven oscillators and their relevance to safe
engineering design, Proc. R. Soc. Lond.,
A 428, 1-13 (1990).
[83] J.M.T. Thompson, Chaos and fractals in
vibrating systems, Proc. Institute of
Acoustics, 12, 493-499 (1990).
[84] J.M.T. Thompson, Transient basins: a new tool
for designing ships against capsize, IUTAM Symp. Dynamics of Marine Vehicles & Structures in Waves,
[85] F.A. McRobie & J.M.T. Thompson, Chaos,
catastrophes and engineering, New
Scientist, 126, No. 1720, 41-46,
9 June (1990). [Chap 12, pp 149-161, The
New Scientist Guide to Chaos, ed. Nina Hall, Penguin, London, 1991]
[86] J.M.T. Thompson, R.C.T. Rainey & M.S.
Soliman, Ship stability criteria based on chaotic transients from incursive
fractals, Phil. Trans. R. Soc. Lond.,
A 332, 149-167 (1990).
[87] Y. Ueda, S. Yoshida, H.B. Stewart &
J.M.T. Thompson, Basin explosions and escape phenomena in the twin-well Duffing
oscillator: compound global bifurcations organizing behaviour, Phil. Trans. R. Soc. Lond., A 332, 169-186 (1990).
[88] R.C.T. Rainey, J.M.T. Thompson, G.W. Tam
& P.G. Noble, The transient capsize diagram: a route to soundly based new
stability regulations, 4th Int. Conf. Stability
of Ships & Ocean Vehicles,
[89] J.M.T. Thompson, Chaos and fractal basin
boundaries in engineering, in The Nature
of Chaos (ed. T. Mullin), Oxford Univ Press, Oxford, 1993, pp 201-221.
[90] J.M.T. Thompson, Computational techniques of
nonlinear dynamics and chaos, 2nd World Congress Computational Mechanics,
[91] A.N. Lansbury & J.M.T. Thompson,
Incursive fractals: a robust mechanism of basin erosion preceding the optimal
escape from a potential well, Physics
Letters, 150A, 355-361 (1990).
[92] M.S. Soliman & J.M.T. Thompson,
Stochastic penetration of smooth and fractal basin boundaries under noise
excitation, Dynamics & Stability of
Systems, 5, 281-298 (1990).
[93] F.A. McRobie & J.M.T. Thompson, Global
integrity in engineering dynamics: methods and applications, EPRI Workshop Applications of Chaos,
[94] J.M.T. Thompson & M.S. Soliman,
Indeterminate jumps to resonance from a tangled saddle-node bifurcation, Proc. R. Soc. Lond., A 432, 101-111 (1991).
[95] H.B. Stewart, J.M.T. Thompson, A.N. Lansbury
& Y. Ueda, Generic patterns of bifurcation governing escape from potential
wells, Int. J. Bifn & Chaos, 1, 265-267 (1991).
[96] M.S. Soliman & J.M.T. Thompson, Basin organization
prior to a tangled saddle-node bifurcation, Int.
J. Bifn & Chaos, 1, 107-118
(1991).
[97] J.M.T. Thompson, Chaos and the danger of
unpredictable failure, Fellowship of
Engineering Newsletter, Supplement to the Spring Newsletter, 1991, pp 1-7.
[98] M.S. Soliman & J.M.T. Thompson, Transient
and steady state analysis of capsize phenomena, Appl. Ocean Research, 13,
82-92 (1991).
[99] R.C.T. Rainey & J.M.T. Thompson, The
transient capsize diagram: a new method of quantifying stability in waves, J. Ship Research, 35, 58-62 (1991).
[100] J.M.T. Thompson, Global unpredictability in
nonlinear dynamics: capture, dispersal and the indeterminate bifurcations, Physica D, 58, 260-272 (1992).
[101] S. Foale & J.M.T. Thompson, Geometrical
concepts and computational techniques of nonlinear dynamics, Computer Methods in Appl. Mechs & Engng,
89, 381-394 (1991).
[102] F.A. McRobie & J.M.T. Thompson, Lobe
dynamics and the escape from a potential well, Proc. R. Soc. Lond., A 435,
659-672 (1991).
[103] F.A. McRobie & J.M.T. Thompson, Invariant
sets of planar diffeomorphisms in nonlinear vibrations, Proc. R. Soc. Lond., A 436,
427-448 (1992).
[104] J.M.T. Thompson, R.C.T. Rainey & M.S.
Soliman, Mechanics of ship capsize under direct and parametric wave excitation,
Phil. Trans. R. Soc. Lond., A 338, 471-490 (1992).
[105] M.S. Soliman & J.M.T. Thompson, Global
dynamics underlying sharp basin erosion in nonlinear driven oscillators, Physical Review, A 45, 3425-3431 (1992).
[106] M.S. Soliman & J.M.T. Thompson, The
effect of damping on the steady state and basin bifurcation patterns of a
nonlinear mechanical oscillator, Int. J.
Bifn & Chaos, 2, 81-91
(1992).
[107] C.Y. Liaw, S.R. Bishop & J.M.T. Thompson,
Heave-excited rolling motion of a rectangular vessel in head seas, Int. J. Offshore & Polar Engng, 3, 26-31 (1993).
[108] M.S. Soliman & J.M.T. Thompson,
Indeterminate sub-critical bifurcations in parametric resonance, Proc. R. Soc. Lond., A 438, 511-518 (1992).
[109] E. Infeld, G. Rowlands, J.M.T. Thompson &
H. Zorski, Solitons and domains in dipole chains, 1st World Congress Nonlinear Analysts, Tampa, Aug 1992 (ed.
V. Lakshmikantham, de Gruyter, Berlin, 1996, Vol 1, Chapter 8, pp 73-78).
[110] A.N. Lansbury, J.M.T. Thompson & H.B.
Stewart, Basin erosion in the twin-well Duffing oscillator: two distinct
bifurcation scenarios, Int. J. Bifn &
Chaos, 2, 505-532 (1992).
[111] M.S. Soliman & J.M.T. Thompson,
Indeterminate trans-critical bifurcations in parametrically excited systems, Proc. R. Soc. Lond., A 439, 601-610 (1992).
[112] Y. Ueda, T. Mitsui & J.M.T. Thompson, On
bifurcation phenomena in a nonlinear system with delay time, Inst. Electronics, Information &
Communication Engrs, Japan, Technical Report, NLP, 91-44, pp 53-59, 1991.
[113] F.A. McRobie & J.M.T. Thompson, Driven
oscillators, knots, braids and Nielsen-Thurston theory, IUTAM Symp. Nonlinearity & Chaos in Engineering
Dynamics, University College London, July 1993 (ed. J.M.T. Thompson &
S.R. Bishop, Wiley, Chichester, 1994, pp 317-328).
[114] J.M.T. Thompson & F.A. McRobie,
Indeterminate bifurcations and the global dynamics of driven oscillators, 1st
European Nonlinear Oscillations
Conf., Hamburg, Aug 1993 (ed. E. Kreuzer & G. Schmidt, Akademie Verlag,
Berlin, 1993, pp 107-128).
[115] J.M.T. Thompson & H.B. Stewart, A
tutorial glossary of geometrical dynamics, Int.
J. Bifn & Chaos, 3, 223-239
(1993).
[116] J.M.T. Thompson, Basic concepts of nonlinear
dynamics, in Nonlinearity and Chaos in
Engineering Dynamics, (ed. J.M.T. Thompson & S.R. Bishop), Wiley,
Chichester, 1994, pp 1-21.
[117] T. Mitsui, Y. Ueda & J.M.T. Thompson,
Analysis of a differential-difference equation by applying the straddle orbit
method, Inst. Electronics, Information
& Communication Engrs, Japan, Technical Report, NLP, 92-109, pp 67-72,
1993.
[118] J.M.T. Thompson, H.B. Stewart & Y. Ueda,
Safe, explosive and dangerous bifurcations in dissipative dynamical systems, Physical Review, E 49, 1019-1027 (1994).
[119] T. Mitsui, Y. Ueda & J.M.T. Thompson,
Basic sets separating two coexisting oscillations in a delayed system, Int.
Symp. Nonlinear Theory and its
Applications (NOLTA '93),
[120] H.B. Stewart, J.M.T. Thompson, Y. Ueda &
A.N. Lansbury, Optimal escape from potential wells: patterns of regular and
chaotic bifurcation, Physica D, 85, 259-295 (1995).
[121] 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. Lond., A 445, 669-677
(1994).
[122] 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).
[123] A.G. MacMaster & J.M.T. Thompson, Wave
tank testing and the capsizability of hulls, Proc. R. Soc. Lond., A 446,
217-232 (1994).
[124] F.A. McRobie & J.M.T. Thompson, Braids
and knots in driven oscillators, Int. J.
Bifn & Chaos, 3, 1343-1361
(1993).
[125] E. Infeld, T. Lenkowska & J.M.T.
Thompson, On the interaction of solitons with floating bodies, Nonlinear World, 1, 65-71 (1994).
[126] T. Mitsui, Y. Ueda & J.M.T. Thompson, On
bifurcation phenomena in a forced nonlinear system with delay time, Inst. Electronics, Information &
Communication Engrs, Japan, Technical Report, NLP, 94-37, pp 33-38, 1994.
[127] 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, Dynamics
& Stability of Systems, 9,
223-251 (1994).
[128] E. Infeld & J.M.T. Thompson, Potential
functions for floating bodies, Journal of
Technical Physics, 35, 319-340
(1994).
[129] E. Infeld & J.M.T. Thompson, Vibrational
coupling in floating bodies, Journal of
Technical Physics, 36, 49-59
(1995).
[130] J.M.T. Thompson, Progress in nonlinear
dynamics and chaos, in Nonlinear
Stability of Structures: Theory & Computational Techniques, Int Centre
for Mech Sciences (CISM), Volume 342. Eds, A.N. Kounadis & W.B. Kratzig,
Springer, Wien, 1995, pp 217-239.
[131] J.M.T. Thompson & A.R. Champneys, From
helix to localized writhing in the torsional post-buckling of elastic rods, Proc. R. Soc. Lond., A 452, 117-138 (1996).
[132] M.S. Soliman & J.M.T. Thompson,
Indeterminate bifurcational phenomena in hardening systems, Proc. R. Soc. Lond., A 452, 487-494 (1996).
[133] G.H.M. van der Heijden, A.R. Champneys &
J.M.T. Thompson, Homoclinic bifurcation and localized torsional buckling of
elastic rods, IUTAM Symposium, Interaction
between Dynamics and Control in Advanced Mechanical Systems, Eindhoven,
April 1996 (ed. D.H. van Campen, Kluwer, Dordrecht, 1997, pp 143-150).
[134] J.M.T. Thompson, Structural dynamics towards
the XXIst century: the geometrical approach, EURODYN '96, Structural Dynamics, Florence, June 1996 (ed. G. Augusti, C. Borri
& P. Spinelli, Balkema, Rotterdam, 1996, pp 7-11).
[135] J.M.T. Thompson, Global dynamics of driven
oscillators: fractal basins and indeterminate bifurcations, Chapter 1 of Nonlinear Mathematics and its Applications,
ed. P.J. Aston, Cambridge University Press, Cambridge, 1996, pp 1-47.
[136] A.R. Champneys & J.M.T. Thompson, A
multiplicity of localized buckling modes for twisted rod equations, Proc. R. Soc. Lond., A 452, 2467-2491 (1996).
[137] 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. Lond.,
A 452, 2527-2550 (1996).
[138] B. Cotton, S.R. Bishop & J.M.T. Thompson,
Sensitivity of capsize to a symmetry breaking bias, 2nd Workshop on Stability and Operational Safety of Ships,
Osaka, Nov 1996 (ed. M. Hamamoto, et al,
Dept of Naval Architecture, Osaka Univ, Osaka, 1996, pp 59-68).
[139] J.M.T. Thompson, Danger of unpredictable
failure due to indeterminate bifurcation, ZAMM,
S 4, 199-202 (1996).
[140] G. Baker, F.A. McRobie & J.M.T. Thompson,
Implications of chaos theory for engineering science, Proc. Instn Mech. Engrs., C
211, 349-363 (1997).
[141] A.R. Champneys, G.W. Hunt & J.M.T.
Thompson, Localization and solitary waves in solid mechanics, Phil. Trans. R. Soc. Lond., A 355, 2077-2081 (1997).
[142] 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. Lond., A 355, 2151-2174 (1997).
[143] J.M.T. Thompson, Designing against capsize in
beam seas: recent advances and new insights, Appl. Mech. Rev., 50,
307-325 (1997).
[144] 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).
[145] J.M.T. Thompson & G.H.M. van der Heijden,
Homoclinic orbits, spatial chaos and localized buckling, IUTAM Symposium, New Applications of Nonlinear and Chaotic
Dynamics in Mechanics, Cornell, July 1997 (ed. F.C. Moon, Kluwer,
Dordrecht, 1999, pp 127-138).
[146] F.B.J. Macmillen & J.M.T. Thompson,
Aircraft stability and control: bifurcation analysis in the design process?,
IUTAM Symposium, New Applications of
Nonlinear and Chaotic Dynamics in Mechanics, Cornell, July 1997 (ed. F.C.
Moon, Kluwer,
[147] A.A. Popov, J.M.T. Thompson & F.A.
McRobie, Low dimensional models of shell vibrations: parametrically excited
vibrations of cylindrical shells, J.
Sound & Vibration, 209,
163-186 (1998).
[148] 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 (1998). [published by
[149] S. Foale, J.M.T. Thompson & F.A. McRobie,
Numerical dimension-reduction methods for nonlinear shell vibrations, J. Sound & Vibration, 215, 527-545 (1998).
[150] 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 Dynamics, 21,
71-99 (2000).
[151] K.J. Spyrou, B. Cotton & J.M.T. Thompson,
Developing an interface between the nonlinear dynamics of ship rolling in beam
seas and ship design, 6th Int Conf on Stability
of Ships and Ocean Vehicles, Varna, Bulgaria, Sept 1997 (ed. P.A. Bogdanov,
Bryag Print, Varna, 1997, Vol 2, pp 343-351).
[152] J.M.T. Thompson, G.H.M. van der Heijden &
A.R. Champneys, Twisting, writhing and buckling of pipelines, 21st Offshore Pipeline Technology Conference
(OPT'98), Oslo, Feb 1998 (IBC UK Conferences, London, 1998).
[153] B. Cotton, J.M.T. Thompson & K.J. Spyrou,
Some recent advances in the analysis of ship roll motion, 3rd Int Workshop on Theoretical Advances in Ship Stability and
Practical Impact, Hersonissos, Crete, Oct 1997 (ed. A.D. Papanikolaou,
National Technical University of Athens, Athens, 1997).
[154] A.A. Popov, J.M.T. Thompson & J.G.A.
Croll, Bifurcation analyses in the parametrically excited vibrations of
cylindrical panels, Nonlinear Dynamics,
17, 205-225 (1998).
[155] 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. Lond.,
A 356, 2321-2333 (1998).
[156] 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).
[157] C.R. Laing, F.A. McRobie & J.M.T.
Thompson, The post-processed Galerkin method applied to non-linear shell
vibrations, Dynamics & Stability of
Systems, 14, 163-181 (1999).
[158] F.A. McRobie, A.A. Popov & J.M.T.
Thompson, Auto-parametric resonance in cylindrical shells using geometric
averaging, J. Sound & Vibration, 227, 65-84 (1999).
[159] J.M.T.
Thompson, Philosophical Transactions
into the 21st century: an editorial, Phil.
Trans. R. Soc. Lond., A 357,
3187-3195 (1999).
[160] N. Morgan
& J.M.T. Thompson, Engineering and the physical sciences: the EPSRC takes
an informal look into the future, Phil.
Trans. R. Soc. Lond., A 357,
3205-3220 (1999).
[161] A.R. Champneys,
G.W. Hunt & J.M.T. Thompson, Introduction, Chapter 1 in Localization and Solitary Waves in Solid
Mechanics (ed. A.R. Champneys, G.W. Hunt & J.M.T. Thompson), World
Scientific, Singapore, 1999 (pages 1-28).
[162] K.J. Spyrou
& J.M.T. Thompson, Damping coefficients for extreme rolling and capsize: an
analytical approach, J. of Ship Research,
44, 1-13 (2000).
[163] K.J. Spyrou
& J.M.T. Thompson, The nonlinear dynamics of ship motions: a field overview
and some recent developments, Phil.
Trans. R. Soc. Lond., A 358,
1735-1760 (2000).
[164] A.A. Popov,
J.M.T. Thompson & F.A. McRobie, Parametrically excited vibrations and
auto-parametric resonance in cylindrical shells, Symp. Nonlinear Dynamics of
Shells and Plates, ASME Congress, Nov 5-10, 2000, Orlando (ed. M.P. Paidousis,
et al, AMD-Volume 238, pp 117-128, ASME, New York, 2000).
[165] A.A. Popov,
J.M.T. Thompson & F.A. McRobie, Chaotic energy exchange through
auto-parametric resonance in cylindrical shells, J. Sound & Vibration, 248,
395-411 (2001).
[166] S. Neukirch,
J.M.T. Thompson & G.Η.Μ. van der Heijden, Filaments enroulés en paires
torsadées: application aux plasmides d’ DNA, Rencontre du Non-Lineaire 2001.
Paris Onze Editions, Bat.338,
[167] J.M.T.
Thompson, G.Η.Μ. van der Heijden & S. Neukirch, Supercoiling of DNA
plasmids: mechanics of the generalized ply, Proc.
R. Soc. Lond., A 458, 959-985
(2002).
[168] S. Neukirch,
G.Η.Μ. van der Heijden & J.M.T. Thompson, Writhing instabilities of twisted
rods: from infinite to finite length, J.
Mech. Phys. Solids, 50,
1175-1191 (2002).
[169] G.H.M. van
der Heijden, A.R. Champneys & J.M.T. Thompson, Spatially complex
localisation in twisted elastic rods constrained to a cylinder, Int. J. Solids & Structures, 39, 1863-1883 (2002).
[170] J.M.T. Thompson,
Supercoiling of DNA molecules, in New
Approaches to Structural Mechanics, Shells and Biological Structures (ed.
H.R. Drew & S. Pellegrino) pp 513-524, Kluwer, Netherlands (2002).
[171] G.H.M. van
der Heijden & J.M.T. Thompson, The chaotic instability of a slowly spinning
asymmetric top, Mathematical &
Computer Modelling, 36, 359-369
(2002).
[172] J.M.T.
Thompson, Research frontiers in the physical sciences, Phil. Trans. R. Soc. Lond., A 360,
2651-2669 (2002).
[173] N. Morgan
& J.M.T. Thompson, A worthwhile investment: research-council scientists
speak out, Phil. Trans. R. Soc. Lond.,
A 360, 2671-2680 (2002).
[174]
G.H.M. van der Heijden, J.M.T. Thompson & S. Neukirch, A variational
approach to loaded ply structures, Journal
of Vibration & Control, 9,
175-185 (2003).
[175] G.Η.Μ. van
der Heijden, S. Neukirch, V.G.Α. Goss & J.M.T. Thompson, Instability and
self-contact phenomena in the writhing of clamped rods, Int. J. Mech. Sci., 45, 161-196 (2003).
[176] J.M.T.
Thompson & G.H.M. van der Heijden, Patterns of bifurcation suppressing
escape at internal resonance, IUTAM Symposium, Rome, June 2003. In Chaotic Dynamics and Control of Systems and
Processes in Mechanics, (eds. G. Rega & F. Vestroni) pp 69-78, Springer,
[177] J.M.T. Thompson,
Visions of the future by young scientists, Phil.
Trans. Roy. Soc. Lond., A, 361,
2631-2632 (2003).
[178] A.Α. Travers
& J.M.T. Thompson, An introduction to the mechanics of DNA, Phil. Trans. Roy. Soc. Lond., A, 362, 1265-1279 (2004).
[179] J.M.T.
Thompson, Preface to Theme Issue ‘The Mechanics of DNA’, Phil. Trans. Roy. Soc. Lond., A, 362, 1263 (2004).
[180] J.M.T.
Thompson, Visions of the future by young scientists, Phil. Trans. Roy. Soc. Lond., A, 362, 2569-2571 (2004).
[182] J.M.T. Thompson, Stability, article in Encyclopedia of Nonlinear Science (ed.
Alwyn Scott),
[183] V.G.A. Goss,
G.Η.Μ. van der Heijden, J.Μ.Τ. Thompson & S. Neukirch, Experiments on snap
buckling, hysteresis and loop formation in twisted rods, Experimental Mechanics, 45,
101-111 (2005).
[184] J.M.T.
Thompson & C.Η.T Wang, Future perspectives in astronomy and the earth sciences,
Phil. Trans. Roy. Soc. Lond., A, 363, 2665-2673 (2005).
[185] J.M.T.
Thompson, Preface to Advances in Astronomy: from the big bang to the solar system, Royal Society Series on Advances in Science, Vol. 1, [ed. J.Μ.Τ. Thompson], Imperial College Press, 2005.
[186] Q. Cao, M. Wiercigroch, E.E. Pavlovskaia, C. Grebogi & J.Μ.T. Thompson, Archetypal oscillator for smooth and
discontinuous dynamics, Phys. Rev. E 74,
046218 (1–5) (2006).
[187]
J.M.T.
Thompson & C.Η.Τ. Wang, Emerging frontiers in the physical sciences,
Phil. Trans. R. Soc. A, 364, 3155-3169 (2006).
[188] J.M.T. Thompson,
Ten years of science in Philosophical
Transactions A: with the University Research Fellows, Phil.
Trans. R. Soc. A, 365,
2779-2797 (2007).
[189] Q. Cao,
M. Wiercigroch, E.Ε. Pavlovskaia, J.M.T. Thompson & C. Grebogi, Phil. Trans. R. Soc. A, 366, 635-652 (2008).
[190] J.S. Reid, C.Η.Τ. Wang
& J.M.T.
Thompson, James Clerk Maxwell 150 years on, Phil.
Trans. R. Soc. A, 366,
1651-1659 (2008).
[191] Q. Cao, M. Wiercigroch, E.Ε.
Pavlovskaia, C. Grebogi & J.M.T. Thompson, The limit case response of the
archetypal oscillator for smooth and discontinuous dynamics, Int. J. Non-Linear Mechanics, 43, 462-473 (2008).
[192] J.M.T. Thompson,
Single-molecule magnetic tweezer tests on DNA: bounds on topoisomerase
relaxation, Proc. R. Soc., A 464, 2811-2829 (2008).
[193] J.M.T. Thompson, Cutting DNA:
mechanics of the topoisomerase, European
Physical Journal - Special Topics, 165,
175-182 (2008).
[194] B. Launder & J.M.T. Thompson,
Geoscale engineering to avert dangerous climate change, Phil.
Trans. R. Soc. A, 366, 3841-3842
(2008).
[195] J.M.T.
Thompson, Progress in astronomy: from gravitational waves to space
weather, Phil. Trans. R. Soc. A, 366, 4359-4364 (2008).
[196] J.M.T.
Thompson, Progress in Earth science and climate studies, Phil. Trans. R. Soc. A, 366, 4503-4508 (2008).
[197] Q. Cao, M. Wiercigroch, E. Pavlovskaia, C. Grebogi & J.Μ.Τ. Thompson, The SD oscillator and its attractors, Journal of Physics: Conference Series, 96, 012064 (2008). (International Symposium on Nonlinear Dynamics 2007, IOP Publishing)
[198] J.M.T.
Thompson & J. Sieber, Predicting climate tipping points, in Geo-Engineering
Climate Change: Environmental
Necessity or Pandora’s Box? (eds. B. Launder & J.M.T. Thompson) Cambridge University Press, 2010.
[199]
G. Rega, S. Lenci, & J.M.T. Thompson, Controlling chaos: the OGY method,
its use in mechanics, and an alternative unified
framework for control of non-regular dynamics, in Nonlinear
Dynamics and Chaos: Advances and Perspectives (M. Thiel et al,
eds.) pp 211-269. Understanding Complex Systems, DOI
10.1007/978-3-642-04629-2_11, Springer-Verlag, Berlin Heidelberg, 2010.
[200]
B. Horton, J. Sieber, J.M.T. Thompson, M. Wiercigroch, Dynamics of the nearly
parametric pendulum, Int. J. Non-Linear
Mechanics, 46, 436–442 (2011).
[201]
J.M.T. Thompson & J. Sieber,
Climate tipping as a noisy bifurcation: a predictive technique, IMA
Journal of Applied
Mathematics,
76, 27−46 (2011).
[202]
J.M.T. Thompson & J. Sieber, Predicting climate tipping as a noisy
bifurcation: a review, Int. J.
Bifurcation and Chaos, 21
(2),
399–423, (2011).
[203] J.M.T. Thompson & J.
Sieber, Climate tipping predictions:
noisy folds and nonlinear softening, Proc. 7th European Nonlinear
Dynamics
Conf. (ENOC 2011), 24-29 July 2011, Rome. (Eds: D. Bernardini, G. Rega and F. Romeo) ISBN:
978-88-906234-2-4,
DOI: 10.3267/ENOC2011Rome.
[204] J.M.T. Thompson & J. Sieber, Climate
predictions: the influence of nonlinearity and randomness, Phil. Trans. R.
Soc. A 370,
1007–1011,
(2012). (doi:10.1098/rsta.2011.0423).
[205] J. Sieber & J.M.T. Thompson, Nonlinear
softening as a predictive precursor to climate tipping, Phil. Trans. R. Soc.
A 370,
1205–1227, (2012).
(doi:10.1098/rsta.2011.0372).
[206] J. M. T. Thompson, M. Silveira, G. H. M. van
der Heijden and M. Wiercigroch, Helical post-buckling of a rod in a cylinder:
with applications to drill-strings, Proc. R. Soc. A 468,
1591-1614, (2012) first published online 22 February 2012.
doi:
10.1098/rspa.2011.0558
.