Article

Ulam model for the sine-Gordon soliton system

F. Kh. AbdullaevDepartment of Thermophysics, Uzbek Academy of Sciences, Tashkent 700 135, ‘‘Pravda’’ str. 28 Union of Soviet Socialist RepublicsS. A. DarmanyanDepartment of Thermophysics, Uzbek Academy of Sciences, Tashkent 700 135, ‘‘Pravda’’ str. 28 Union of Soviet Socialist RepublicsBakhram UmarovDepartment of Thermophysics, Uzbek Academy of Sciences, Tashkent 700 135, ‘‘Pravda’’ str. 28 Union of Soviet Socialist Republics

Physical Review Ajournal1990en

ABI

Abstract

The Ulam model analog of the Fermi acceleration for the sine-Gordon solitons is investigated. The motion of soliton between two potential walls, one of which is periodically oscillating, is studied. With the help of the Melnikov method the expression for the threshold of stochasticity in soliton motion is found.

Topics

stochastic dynamics and bifurcation Quantum Information and Cryptography Mechanical and Optical Resonators

Identifiers

DOI: 10.1103/physreva.41.4498

Citations and references

Cited by 2 1 references

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