An analytical method for predicting chaos in perturbed planar non-Hamiltonian system

Li Qun Chen

doi:10.1007/s11741-002-0017-0

An analytical method for predicting chaos in perturbed planar non-Hamiltonian system

Li Qun Chen^*

^*Corresponding author for this work

Shanghai University

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

1 Scopus citations

Abstract

An analytical method for predicting chaos in perturbed planar non-Hamiltonian integrable systems with slowly varying parameters was developed. Based on the analysis of the geometric structure of unperturbed systems, the condition of transversely homo-clinic intersection was given. The generalized Melnikov function of the perturbed system was found by applying the theorem on the differentiability of ordinary differential equation solutions with respect to parameters.

Original language	English
Pages (from-to)	111-114
Number of pages	4
Journal	Journal of Shanghai University
Volume	6
Issue number	2
DOIs	https://doi.org/10.1007/s11741-002-0017-0
State	Published - Jun 2002
Externally published	Yes

Keywords

analytical method
chaos
generalized Melnikov function
non-hamiltonian integrable system

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10.1007/s11741-002-0017-0

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title = "An analytical method for predicting chaos in perturbed planar non-Hamiltonian system",

abstract = "An analytical method for predicting chaos in perturbed planar non-Hamiltonian integrable systems with slowly varying parameters was developed. Based on the analysis of the geometric structure of unperturbed systems, the condition of transversely homo-clinic intersection was given. The generalized Melnikov function of the perturbed system was found by applying the theorem on the differentiability of ordinary differential equation solutions with respect to parameters.",

keywords = "analytical method, chaos, generalized Melnikov function, non-hamiltonian integrable system",

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year = "2002",

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AB - An analytical method for predicting chaos in perturbed planar non-Hamiltonian integrable systems with slowly varying parameters was developed. Based on the analysis of the geometric structure of unperturbed systems, the condition of transversely homo-clinic intersection was given. The generalized Melnikov function of the perturbed system was found by applying the theorem on the differentiability of ordinary differential equation solutions with respect to parameters.

KW - analytical method

KW - chaos

KW - generalized Melnikov function

KW - non-hamiltonian integrable system

UR - https://www.scopus.com/pages/publications/84868004574

U2 - 10.1007/s11741-002-0017-0

DO - 10.1007/s11741-002-0017-0

M3 - 文章

AN - SCOPUS:84868004574

SN - 1007-6417

VL - 6

SP - 111

EP - 114

JO - Journal of Shanghai University

JF - Journal of Shanghai University

IS - 2

ER -

An analytical method for predicting chaos in perturbed planar non-Hamiltonian system

Abstract

Keywords

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