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On the recurrence and Lyapunov time scales of the motion near the chaos border. / Shevchenko, Ivan I.

в: Physics Letters, Section A: General, Atomic and Solid State Physics, Том 241, № 1-2, 20.04.1998, стр. 53-60.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Shevchenko, II 1998, 'On the recurrence and Lyapunov time scales of the motion near the chaos border', Physics Letters, Section A: General, Atomic and Solid State Physics, Том. 241, № 1-2, стр. 53-60. https://doi.org/10.1016/S0375-9601(98)00093-0

APA

Shevchenko, I. I. (1998). On the recurrence and Lyapunov time scales of the motion near the chaos border. Physics Letters, Section A: General, Atomic and Solid State Physics, 241(1-2), 53-60. https://doi.org/10.1016/S0375-9601(98)00093-0

Vancouver

Shevchenko II. On the recurrence and Lyapunov time scales of the motion near the chaos border. Physics Letters, Section A: General, Atomic and Solid State Physics. 1998 Апр. 20;241(1-2):53-60. https://doi.org/10.1016/S0375-9601(98)00093-0

Author

Shevchenko, Ivan I. / On the recurrence and Lyapunov time scales of the motion near the chaos border. в: Physics Letters, Section A: General, Atomic and Solid State Physics. 1998 ; Том 241, № 1-2. стр. 53-60.

BibTeX

@article{65c1c5b24ca5470e986bb7343950a264,
title = "On the recurrence and Lyapunov time scales of the motion near the chaos border",
abstract = "Conditions for the emergence of a statistical relationship between Tr, the chaotic transport (recurrence) time, and TL, the local Lyapunov time (the inverse of the numerically measured largest Lyapunov characteristic exponent), are considered for the motion inside the chaotic layer around the separatrix of a nonlinear resonance. When numeric values of the Lyapunov exponents are measured on a time interval not greater than Tr, the relationship is shown to resemble the quadratic one. This tentatively explains numeric results presented in the literature.",
keywords = "Asteroid, Chaos, Hamiltonian system, Lyapunov exponents, Resonance",
author = "Shevchenko, {Ivan I.}",
year = "1998",
month = apr,
day = "20",
doi = "10.1016/S0375-9601(98)00093-0",
language = "English",
volume = "241",
pages = "53--60",
journal = "Physics Letters A",
issn = "0375-9601",
publisher = "Elsevier",
number = "1-2",

}

RIS

TY - JOUR

T1 - On the recurrence and Lyapunov time scales of the motion near the chaos border

AU - Shevchenko, Ivan I.

PY - 1998/4/20

Y1 - 1998/4/20

N2 - Conditions for the emergence of a statistical relationship between Tr, the chaotic transport (recurrence) time, and TL, the local Lyapunov time (the inverse of the numerically measured largest Lyapunov characteristic exponent), are considered for the motion inside the chaotic layer around the separatrix of a nonlinear resonance. When numeric values of the Lyapunov exponents are measured on a time interval not greater than Tr, the relationship is shown to resemble the quadratic one. This tentatively explains numeric results presented in the literature.

AB - Conditions for the emergence of a statistical relationship between Tr, the chaotic transport (recurrence) time, and TL, the local Lyapunov time (the inverse of the numerically measured largest Lyapunov characteristic exponent), are considered for the motion inside the chaotic layer around the separatrix of a nonlinear resonance. When numeric values of the Lyapunov exponents are measured on a time interval not greater than Tr, the relationship is shown to resemble the quadratic one. This tentatively explains numeric results presented in the literature.

KW - Asteroid

KW - Chaos

KW - Hamiltonian system

KW - Lyapunov exponents

KW - Resonance

UR - http://www.scopus.com/inward/record.url?scp=0042284253&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(98)00093-0

DO - 10.1016/S0375-9601(98)00093-0

M3 - Article

AN - SCOPUS:0042284253

VL - 241

SP - 53

EP - 60

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 1-2

ER -

ID: 45989980