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

^*Corresponding author for this work

School of Mathematical Sciences

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

56 Scopus citations

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.

Original language	English
Pages (from-to)	701-713
Number of pages	13
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	53
Issue number	5
DOIs	https://doi.org/10.1016/S0362-546X(02)00301-2
State	Published - May 2003

Keywords

Double homoclinic cycle
Heteroclinic cycle
Stability

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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

PY - 2003/5

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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

SP - 701

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

Abstract

Keywords

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