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Center and Isochronous Center of a Class of Quasi-analytic Switching Systems by Li, Feng; Yu, Pei; Liu, Yirong; Liu, Yuanyuan is a scholarly article available to read on EtoBox.

What is Center and Isochronous Center of a Class of Quasi-analytic Switching Systems about?

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.

Author

Li, Feng; Yu, Pei; Liu, Yirong; Liu, Yuanyuan

Published

2017

Language

EN