Effect of memory and dynamical chaos in long Josephson junctions
K. N. Yugay, N. V. Blinov, I. V. Shirokov
DOI 10.1103/PhysRevB.51.12737 · Physical Review B
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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-Gordon 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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