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arXiv · 1708.07546

Center and isochronous center of a class of quasi-analytic switching systems

Feng Li·Pei Yu·Yirong Liu·Yuanyuan Liu
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Abstract

In this paper, we study the integrability and linearization of a class of quadratic quasi-analytic switching systems. We improve an existing method to compute the focus values and periodic constants of quasi-analytic switching systems. In particular, with our method, we demonstrate that the dynamical behaviors of quasi-analytic switching systems are more complex than that of continuous quasi-analytic systems, by showing the existence of six and seven limit cycles in the neighborhood of the origin and infinity, respectively, in a quadratic quasi-analytic switching system. Moreover, explicit conditions are obtained for classifying the centers and isochronous centers of the system.

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Feng Li, Pei Yu, Yirong Liu, Yuanyuan Liu. 2017-08-24. Center and isochronous center of a class of quasi-analytic switching systems. https://arxiv.org/abs/1708.07546

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