Local bifurcations of critical periods for quartic Lienard equations with quintic damping

被引：2

作者：

Li Hongwei ^{[1
]}

机构：

[1] Linyi Univ, Sch Sci, Linyi 276005, Shandong, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2012年

关键词：

Lienard system; center; isochronous center; bifurcation of critical periods; CLASSIFICATION; CENTERS;

D O I：

10.1186/1687-1847-2012-24

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the local bifurcation of critical periods near a nonde-generate center of the quartic Li,nard equation with quintic damping and prove that at most two local critical periods can be produced from either a weak center of finite order or the isochronous center. MSC: 34C05; 34C07.

引用

页数：9

共 50 条

[31] Local bifurcation of critical periods for a class of Liénard equations
Yi Shao
Chun-xiang A
Acta Mathematicae Applicatae Sinica, English Series, 2014, 30 : 627 - 634
[32] Local Bifurcation of Critical Periods for a Class of Liénard Equations
Yi SHAO
Chun-xiang A
Acta Mathematicae Applicatae Sinica, 2014, (03) : 627 - 634
[33] Formation of the Dynamic Energy Cascades in Quartic and Quintic Generalized KdV Equations
Dutykh, Denys
Tobisch, Elena
SYMMETRY-BASEL, 2020, 12 (08):
[34] Smooth attractors for the quintic wave equations with fractional damping
Savostianov, Anton
Zelik, Sergey
ASYMPTOTIC ANALYSIS, 2014, 87 (3-4) : 191 - 221
[35] Bifurcation of Critical Periods from a Quartic Isochronous Center
Peng, Linping
Feng, Zhaosheng
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2014, 24 (06):
[36] MASSES, DISCRIMINANTS, AND GALOIS GROUPS OF TAME QUARTIC AND QUINTIC EXTENSIONS OF LOCAL FIELDS
Awtrey, Chad
HOUSTON JOURNAL OF MATHEMATICS, 2012, 38 (02): : 397 - 404
[37] Local bifurcations and codimension-3 degenerate bifurcations of a quintic nonlinear beam under parametric excitation
Zhang, W
Wang, FX
Zu, JW
CHAOS SOLITONS & FRACTALS, 2005, 24 (04) : 977 - 998
[38] Nonlocal deformations of autonomous invariant curves for Lienard equations with quadratic damping
Sinelshchikov, Dmitry I.
CHAOS SOLITONS & FRACTALS, 2021, 152
[39] Limit Cycles and Local Bifurcation of Critical Periods in a Class of Switching Z2 Equivariant Quartic System
Yang, Jian
Liu, Jukun
Lu, Jingping
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2024, 2024
[40] Small-amplitude limit cycle bifurcations for Lienard systems with quadratic or cubic damping or restoring forces
Christopher, C
Lynch, S
NONLINEARITY, 1999, 12 (04) : 1099 - 1112

← 1 2 3 4 5 →