Susceptibility of chaotic systems to perturbations

P. V. Elyutin; J. Shan

doi:10.1103/PhysRevLett.77.5043

Susceptibility of chaotic systems to perturbations

P. V. Elyutin, J. Shan

Physics

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10 Scopus citations

Abstract

The susceptibility of chaotic Hamiltonian systems with 2 degrees of freedom to a perturbation of harmonical time dependence is studied. The dispersion relation for the susceptibility that includes the Lyapunov exponent is established. The equations that connect the parameters of the susceptibility with those of the power spectrum of the coordinate and the density of states are derived from the equivalence of quantum and classical susceptibilities in the limit ħ → 0. The susceptibility of the Pullen-Edmonds nonlinear oscillator is calculated as an example.

Original language	English (US)
Pages (from-to)	5043-5046
Number of pages	4
Journal	Physical review letters
Volume	77
Issue number	25
DOIs	https://doi.org/10.1103/PhysRevLett.77.5043
State	Published - 1996

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRevLett.77.5043

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title = "Susceptibility of chaotic systems to perturbations",

abstract = "The susceptibility of chaotic Hamiltonian systems with 2 degrees of freedom to a perturbation of harmonical time dependence is studied. The dispersion relation for the susceptibility that includes the Lyapunov exponent is established. The equations that connect the parameters of the susceptibility with those of the power spectrum of the coordinate and the density of states are derived from the equivalence of quantum and classical susceptibilities in the limit ħ → 0. The susceptibility of the Pullen-Edmonds nonlinear oscillator is calculated as an example.",

author = "Elyutin, {P. V.} and J. Shan",

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T1 - Susceptibility of chaotic systems to perturbations

AU - Elyutin, P. V.

AU - Shan, J.

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AB - The susceptibility of chaotic Hamiltonian systems with 2 degrees of freedom to a perturbation of harmonical time dependence is studied. The dispersion relation for the susceptibility that includes the Lyapunov exponent is established. The equations that connect the parameters of the susceptibility with those of the power spectrum of the coordinate and the density of states are derived from the equivalence of quantum and classical susceptibilities in the limit ħ → 0. The susceptibility of the Pullen-Edmonds nonlinear oscillator is calculated as an example.

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U2 - 10.1103/PhysRevLett.77.5043

DO - 10.1103/PhysRevLett.77.5043

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IS - 25

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Susceptibility of chaotic systems to perturbations

Abstract

All Science Journal Classification (ASJC) codes

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