Bifurcation of limit cycles from a double homoclinic loop with a rough saddle

被引：3

作者：

Han, M ^{[1
]}

Bi, P ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2004年 / 25卷 / 02期

关键词：

double homoclinic loop; bifurcation; limit cycle;

D O I：

10.1142/S025295990400024X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper concerns with the bifurcation of limit cycles from a double homoclinic loop under multiple parameter perturbations for general planar systems. The existence conditions of 4 homoclinic bifurcation curves and small and large limit cycles are especially investigated.

引用

页码：233 / 242

页数：10

共 50 条

[21] Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems
Liang, Feng
Han, Maoan
Zhang, Xiang
JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (12) : 4403 - 4436
[22] On the Number of Limit Cycles Bifurcated from a Near-Hamiltonian System with a Double Homoclinic Loop of Cuspidal Type Surrounded by a Heteroclinic Loop
Moghimi, Pegah
Asheghi, Rasoul
Kazemi, Rasool
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2018, 28 (01):
[23] Global-bifurcation of a perturbed double-homoclinic loop
Shang, Desheng
Han, Maoan
CHINESE ANNALS OF MATHEMATICS SERIES B, 2006, 27 (04) : 425 - 436
[24] Limit cycles near a homoclinic loop by perturbing a class of integrable systems
Xiong, Yanqin
Han, Maoan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 429 (02) : 814 - 832
[25] On the number of limit cycles near a homoclinic loop with a nilpotent singular point
An, Yulian
Han, Maoan
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 258 (09) : 3194 - 3247
[26] Limit cycles and homoclinic orbits and their bifurcation of Bogdanov-Takens system
Huang Cheng-biao
Liu Jia
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2008, 29 (09) : 1195 - 1201
[27] Homoclinic bifurcation of limit cycles in near-Hamiltonian systems on the cylinder
Shi, Yixia
Han, Maoan
Zhang, Lijun
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 304 : 1 - 28
[28] Limit cycles and homoclinic orbits and their bifurcation of Bogdanov-Takens system
Cheng-biao Huang
Jia Liu
Applied Mathematics and Mechanics, 2008, 29 : 1195 - 1201
[29] Limit cycles and homoclinic orbits and their bifurcation of Bogdanov-Takens system
黄赪彪
刘佳
AppliedMathematicsandMechanics(EnglishEdition), 2008, (09) : 1195 - 1201
[30] CONDITION OF CREATION OF LIMIT CYCLES FROM THE LOOP OF A SADDLE-POINT SEPARATRIX
冯贝叶
ScienceBulletin, 1986, (17) : 1220 - 1220

← 1 2 3 4 5 →