论文标题

在三维系统的中心歧管上的刚性中心的循环性

Cyclicity of Rigid Centers on Center Manifolds of Three-dimensional systems

论文作者

Pessoa, Claudio, Queiroz, Lucas, Ribeiro, Jarne D.

论文摘要

我们与多项式的三维刚性差异系统一起工作。使用Lyapunov常数,我们获得了在其中心歧管上已知刚性中心的循环性的下限。此外,我们获得了一个二次刚性中心的示例,可以从中分叉13个限制循环,这是三维二次系统的新下限。

We work with polynomial three-dimensional rigid differential systems. Using the Lyapunov constants, we obtain lower bounds for the cyclicity of the known rigid centers on their center manifolds. Moreover, we obtain an example of a quadratic rigid center from which is possible to bifurcate 13 limit cycles, which is a new lower bound for three-dimensional quadratic systems.

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