Existence of Twelve Small Limit Cycles in a Cubic Order Planar System

机译：三次阶平面系统中十二个小极限环的存在

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A cubic-order, planar system with symmetry in the origin is considered for the existence of small limit cycles. With the aid of normal form computation for degenerate Hopf bifurcations, it has been shown that it's possible for the cubic-order system to have twelve small limit cycles.

机译：考虑到存在小的极限环，考虑了原点具有对称性的三次平面系统。借助于简并形式的简并Hopf分叉，已经证明三次系统有十二个小的极限环是可能的。

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来源
《Shanghai international symposium on nonlinear science amp; application》|2003年|p.102-103|共2页
会议地点 Shanghai(CN);Shanghai(CN)
作者
Pei Yu; Maoan Han;
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作者单位

Department of Applied Mathematics The University of Western Ontario London, Ontario, Canada N6A 557;

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原文格式 PDF
正文语种 eng
中图分类 N9;
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1. Twelve limit cycles around a singular point in a planar cubic-degree polynomial system [J] . Pei Yu, Yun Tian Communications in Nonlinear Science and Numerical Simulation . 2014,第8期

机译：平面三次多项式系统中围绕奇异点的十二个极限环
2. Co-Existence of Local Limit Cycles from Degenerate and Weak Foci in Cubic Systems [J] . Nick Schoonover, Terence Blows Applied Mathematics . 2016,第16期

机译：三次系统中退化和弱震源局部极限环的共存
3. Existence of limit cycles for real quadratic differential systems with an invariant cubic [J] . Chavarriga J, Garcia IA Pacific journal of mathematics . 2006,第2期

机译：具有不变三次的实二次微分系统极限环的存在性。
4. Existence of Twelve Small Limit Cycles in a Cubic Order Planar System [C] . Pei Yu, Maoan Han Shanghai international symposium on nonlinear science application . 2003

机译：立方顺序平面系统中十二个小限制周期的存在
5. Existence of the thermodynamic limit and asymptotic behavior of some irreversible quantum dynamical systems [D] . Vershynina, Anna. 2012

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6. Existence of Limit Cycles in the Solow Model with Delayed-Logistic Population Growth [O] . Carlo Bianca, Luca Guerrini -1

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7. Twelve limit cycles in a cubic order planar system with Z2 symmetry [O] . P. Yu, M. Han 2004

机译：具有Z2对称性的三次平面系统中的十二个极限环

Existence of Twelve Small Limit Cycles in a Cubic Order Planar System

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