Theory of center-focus for a class of higher-degree critical points and infinite points

被引：0

作者：

Liu, Y.

机构：

来源：

Science in China, Series A: Mathematics, Physics, Astronomy | 2001年 / 44卷 / 03期

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

For the real planar autonomous differential system, the questions of detection between center and focus, successor function, formal series, central integration, integration factor, focal values, values of singular point and bifurcation of limit cycles for a class of higher-degree critical points and infinite points are expounded.

引用

页码：365 / 377

共 50 条

[21] Differentiable mappings with an infinite number of critical points
Pintea, C
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (11) : 3435 - 3444
[22] ON THE LOCATION OF CRITICAL POINTS OF HIGHER ORDER
Bakic, Rados
COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2021, 74 (03): : 311 - 314
[23] ANALYTIC CENTER OF NILPOTENT CRITICAL POINTS
Liu, Tao
Wu, Lianggang
Li, Feng
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (08):
[24] Center-focus and Hopf bifurcation for a class of quartic Kukles-like systems
Yusen Wu
Changjin Xu
Advances in Difference Equations, 2014
[25] Center-focus and Hopf bifurcation for a class of quartic Kukles-like systems
Wu, Yusen
Xu, Changjin
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[26] Center-focus problem and limit cycles bifurcations for a class of cubic Kolmogorov model
Du, Chaoxiong
Huang, Wentao
NONLINEAR DYNAMICS, 2013, 72 (1-2) : 197 - 206
[27] Distribution of Limit Cycles for A Class of Higher-Degree Degenerate Plane Polynomial System
Gao, Jie
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 598 - 601
[28] PHENOMENOLOGICAL THEORY NEAR CRITICAL POINTS
WONG, VK
PHYSICS LETTERS A, 1968, A 27 (06) : 358 - &
[29] Convergence to the critical attractor at infinite and tangent bifurcation points
Tonelli, R.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (08): : 2369 - 2375
[30] Center-focus problem and limit cycles bifurcations for a class of cubic Kolmogorov model
Chaoxiong Du
Wentao Huang
Nonlinear Dynamics, 2013, 72 : 197 - 206

← 1 2 3 4 5 →