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I will talk about how studies of nonlinear dynamics began, about the famous Fermi-Pasta-Ulam-Tsingou
problem, what is going on in this problem now and issues surrounding so-called “integrability” and “nonintegrability,”
and about progress achieved in the strongly nonlinear granular systems. Along the way I will
touch upon the problems of rogue fluctuations (waves), long-lived nonlinear localized excitations, interactions
between solitary and acoustic waves and impact mitigation.
The work has been done jointly with M. Manciu, A. Sokolow, J. Pfannes, D. Sun, L. Machado, A. Westley,
R. Kashyap, H. Decai, G. Deng, M. Przedborski, T. Harroun, R. Simion, M. Benson, Y. Takato, E. Avalos,
T. Barrett. The work has been supported at various stages by NSF, NASA, and ARO. |