On the stability of double homoclinic and heteroclinic cycles

Maoan Han; Shouchuan Hu; Xingbo Liu

doi:10.1016/S0362-546X(02)00301-2

On the stability of double homoclinic and heteroclinic cycles

Maoan Han
, Shouchuan Hu^*
, Xingbo Liu

^*此作品的通讯作者

数学科学学院

Shanghai Jiao Tong University
Missouri State University

科研成果: 期刊稿件 › 文章 › 同行评审

56 引用（Scopus）

摘要

A criterion for the stability of planar double homoclinic and heteroclinic cycles with one or two saddles in some degenerate case is presented. The proof of some theorems are given. Application examples are presented to show the way to find limit cycles by using the main results.

源语言	英语
页（从-至）	701-713
页数	13
期刊	Nonlinear Analysis, Theory, Methods and Applications
卷	53
期	5
DOI	https://doi.org/10.1016/S0362-546X(02)00301-2
出版状态	已出版 - 5月 2003

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10.1016/S0362-546X(02)00301-2

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title = "On the stability of double homoclinic and heteroclinic cycles",

abstract = "A criterion for the stability of planar double homoclinic and heteroclinic cycles with one or two saddles in some degenerate case is presented. The proof of some theorems are given. Application examples are presented to show the way to find limit cycles by using the main results.",

keywords = "Double homoclinic cycle, Heteroclinic cycle, Stability",

author = "Maoan Han and Shouchuan Hu and Xingbo Liu",

year = "2003",

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T1 - On the stability of double homoclinic and heteroclinic cycles

AU - Han, Maoan

AU - Hu, Shouchuan

AU - Liu, Xingbo

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N2 - A criterion for the stability of planar double homoclinic and heteroclinic cycles with one or two saddles in some degenerate case is presented. The proof of some theorems are given. Application examples are presented to show the way to find limit cycles by using the main results.

AB - A criterion for the stability of planar double homoclinic and heteroclinic cycles with one or two saddles in some degenerate case is presented. The proof of some theorems are given. Application examples are presented to show the way to find limit cycles by using the main results.

KW - Double homoclinic cycle

KW - Heteroclinic cycle

KW - Stability

UR - https://www.scopus.com/pages/publications/0037408724

U2 - 10.1016/S0362-546X(02)00301-2

DO - 10.1016/S0362-546X(02)00301-2

M3 - 文章

AN - SCOPUS:0037408724

SN - 0362-546X

VL - 53

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EP - 713

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 5

ER -

On the stability of double homoclinic and heteroclinic cycles

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