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Effect of memory and dynamical chaos in long Josephson junctions

2000/03/27 by K. N. Yugay, N. V. Blinov, I. V. Shirokov
Physics and Astronomy · #cond-mat.supr-con

paper · pdf

published as Phys. Rev. B 51 (1995) 737-741 · 9 pages, 10 Postscript figures

arxiv created 2000/03/27 · arxiv updated 2009/11/30

Abstract

A long Josephson junction in a constant external magnetic field and in the presence of a dc bias current is investigated. It is shown that the system, simulated by the sine-Gorgon equation, "remembers" a rapidly damping initial perturbation and final asymptotic states are determined exactly with this perturbation. Numerical solving of the boundary sine-Gordon problem and calculations of Lyapunov indices show that this system has a memory even when it is in a state of dynamical chaos, i.e., dynamical chaos does not destroy initial information having a character of rapidly damping perturbation.

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