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Lyapunov exponents in the Hénon-Heiles problem. / Shevchenko, I. I.; Mel'Nikov, A. V.

In: JETP Letters, Vol. 77, No. 12, 01.12.2003, p. 642-646.

Research output: Contribution to journal › Article › peer-review

Harvard

Shevchenko, II & Mel'Nikov, AV 2003, 'Lyapunov exponents in the Hénon-Heiles problem', JETP Letters, vol. 77, no. 12, pp. 642-646. https://doi.org/10.1134/1.1604412

APA

Shevchenko, I. I., & Mel'Nikov, A. V. (2003). Lyapunov exponents in the Hénon-Heiles problem. JETP Letters, 77(12), 642-646. https://doi.org/10.1134/1.1604412

Vancouver

Shevchenko II, Mel'Nikov AV. Lyapunov exponents in the Hénon-Heiles problem. JETP Letters. 2003 Dec 1;77(12):642-646. https://doi.org/10.1134/1.1604412

Author

Shevchenko, I. I. ; Mel'Nikov, A. V. / Lyapunov exponents in the Hénon-Heiles problem. In: JETP Letters. 2003 ; Vol. 77, No. 12. pp. 642-646.

BibTeX

@article{9683b3566bfa4ba494a528db2a14fe8c,
title = "Lyapunov exponents in the H{\'e}non-Heiles problem",
abstract = "The maximal Lyapunov characteristic exponent of chaotic motion was calculated as a function of the system energy by numerical integration of the H{\'e}non-Heiles problem. Contrary to the conclusions of Benettin et al., this dependence is not exponential but is close to a power law. As to the energy dependence of dynamic entropy, it is close to an exponential law, in agreement with [4].",
author = "Shevchenko, {I. I.} and Mel'Nikov, {A. V.}",
year = "2003",
month = dec,
day = "1",
doi = "10.1134/1.1604412",
language = "English",
volume = "77",
pages = "642--646",
journal = "JETP Letters",
issn = "0021-3640",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "12",

}

RIS

TY - JOUR

T1 - Lyapunov exponents in the Hénon-Heiles problem

AU - Shevchenko, I. I.

AU - Mel'Nikov, A. V.

PY - 2003/12/1

Y1 - 2003/12/1

N2 - The maximal Lyapunov characteristic exponent of chaotic motion was calculated as a function of the system energy by numerical integration of the Hénon-Heiles problem. Contrary to the conclusions of Benettin et al., this dependence is not exponential but is close to a power law. As to the energy dependence of dynamic entropy, it is close to an exponential law, in agreement with [4].

AB - The maximal Lyapunov characteristic exponent of chaotic motion was calculated as a function of the system energy by numerical integration of the Hénon-Heiles problem. Contrary to the conclusions of Benettin et al., this dependence is not exponential but is close to a power law. As to the energy dependence of dynamic entropy, it is close to an exponential law, in agreement with [4].

UR - http://www.scopus.com/inward/record.url?scp=9644254639&partnerID=8YFLogxK

U2 - 10.1134/1.1604412

DO - 10.1134/1.1604412

M3 - Article

AN - SCOPUS:9644254639

VL - 77

SP - 642

EP - 646

JO - JETP Letters

JF - JETP Letters

SN - 0021-3640

IS - 12

ER -

ID: 45989171