基于平均理论的三次齐次非线性多项式微分系统的4维零Hopf分支

IF 0.2 Q4 MATHEMATICS, APPLIED

International Journal of Dynamical Systems and Differential Equations Pub Date : 2020-08-14 DOI:10.1504/ijdsde.2020.10031333

Amina Feddaoui, J. Llibre, A. Makhlouf

引用次数: 3

摘要

二阶平均理论表明ℝ4具有三次齐次非线性，在零Hopf分岔中可以产生至少九个极限环。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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4-dimensional zero-Hopf bifurcation for polynomial differentials systems with cubic homogeneous nonlinearities via averaging theory

The averaging theory of second order shows that for polynomial differential systems in ℝ4 with cubic homogeneous nonlinearities at least nine limit cycles can be born in a zero-Hopf bifurcation.

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来源期刊

International Journal of Dynamical Systems and Differential Equations MATHEMATICS, APPLIED-

CiteScore

0.80

自引率

0.00%

发文量

期刊介绍： IJDSDE is a quarterly international journal that publishes original research papers of high quality in all areas related to dynamical systems and differential equations and their applications in biology, economics, engineering, physics, and other related areas of science. Manuscripts concerned with the development and application innovative mathematical tools and methods from dynamical systems and differential equations, are encouraged.