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Journal Articles Physics Letters A Year : 2011

Recurrence phase shift in Fermi-Pasta-Ulam nonlinear dynamics


We show that the dynamics of Fermi-Pasta-Ulam recurrence is associated with a nonlinear phase shift between initial and final states that are otherwise identical, after a full growth-return cycle. The properties of this phase shift are studied for the particular case of the self-focussing nonlinear Schrodinger equation, and we describe the magnitude of the phase shift in terms of the system parameters. This phase shift, accumulated during the nonlinear recurrence cycle, is a previously-unremarked feature of the Fermi-Pasta-Ulam problem, and we anticipate its wide significance as an essential feature of related dynamics in other systems.
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hal-00655031 , version 1 (29-04-2021)





N. Devine, A. Ankiewicz, G. Genty, J.M. Dudley, N. Akhmediev. Recurrence phase shift in Fermi-Pasta-Ulam nonlinear dynamics. Physics Letters A, 2011, 375 (46), pp.4158-4161. ⟨10.1016/j.physleta.2011.10.006⟩. ⟨hal-00655031⟩
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