具有两个区域的平面分段多项式微分系统无穷远处的跨临界分岔

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal Pub Date : 2022-07-01 DOI:10.1080/14689367.2022.2092454

Denis de Carvalho Braga, J. Llibre, Luis Fernando Mello

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引用次数: 0

摘要

通过在无穷大和全局中心的跨临界分岔，我们给出了具有两个区域的平面分段多项式微分系统中极限环生成的一般机制。这项研究证明了通过分离边界与表征全局中心的边界相交产生的极限环的存在。

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Transcritical bifurcation at infinity in planar piecewise polynomial differential systems with two zones

We present a general mechanism of generation of limit cycles in planar piecewise polynomial differential systems with two zones by means of a transcritical bifurcation at infinity and from a global centre. This study justifies the existence of limit cycles that arise through the intersection of the separation boundary with the one that characterizes the global centre.

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来源期刊

Dynamical Systems-An International Journal 物理-力学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal: •Differential equations •Bifurcation theory •Hamiltonian and Lagrangian dynamics •Hyperbolic dynamics •Ergodic theory •Topological and smooth dynamics •Random dynamical systems •Applications in technology, engineering and natural and life sciences