A bracing nonlinear walk in applied mechanics: memoirs and reflections. (English) Zbl 1504.74036
Summary: This article is an informal auto-biographical memoir by Mike Thompson, reflecting in retirement on his scientific researches in nonlinear phenomena, wandering pictorially from shell buckling, through bifurcations and chaos to climate tipping points. Some ideas and advice to young researchers are offered whenever it seems appropriate. Two research groups at University College London, and their two IUTAM Symposia are given some prominence, as are the ten years editing the Philosophical Transactions of the Royal Society.
MSC:
| 74H60 | Dynamical bifurcation of solutions to dynamical problems in solid mechanics |
| 74H65 | Chaotic behavior of solutions to dynamical problems in solid mechanics |
| 74G60 | Bifurcation and buckling |
| 70K50 | Bifurcations and instability for nonlinear problems in mechanics |
| 01A70 | Biographies, obituaries, personalia, bibliographies |
Keywords:
bifurcation; chaos; nonlinear dynamics; shell buckling; imperfection sensitivity; twisted rod; DNA; climate tipping; journal editingReferences:
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| [132] | Thompson, J. M. T. & Sieber, J. [2011a] “ Predicting climate tipping as a noisy bifurcation: A review,” Int. J. Bifurcation and Chaos21, 399-423. · Zbl 1210.86007 |
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| [134] | Thompson, J. M. T., Silveira, M., van der Heijden, G. H. M. & Wiercigroch, M. [2012] “ Helical post-buckling of a rod in a cylinder: With applications to drill-strings,” Proc. R. Soc. A468, 1591-1614. |
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| [138] | Thompson, J. M. T. [2015] “ Advances in shell buckling: Theory and experiments,” Int. J. Bifurcation and Chaos25, 1530001-1-25. |
| [139] | Thompson, J. M. T. [2016] “ Chaos, fractals and their applications,” Int. J. Bifurcation and Chaos26, 1630035-1-22. · Zbl 1354.34002 |
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| [153] | van der Heijden, G. H. M., Champneys, A. R. & Thompson, J. M. T. [2002] “ Spatially complex localization in twisted elastic rods constrained to a cylinder,” Int. J. Solids Struct.39, 1863-1883. · Zbl 1006.74521 |
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