Isochronicity of centers in a switching Bautin system |
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Authors: | Xingwu Chen Weinian Zhang |
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Institution: | Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, PR China |
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Abstract: | In this paper isochronicity of centers is discussed for a class of discontinuous differential system, simply called switching system. We give some sufficient conditions for the system to have a regular isochronous center at the origin and, on the other hand, construct a switching system with an irregular isochronous center at the origin. We give a computation method for periods of periodic orbits near the center and use the method to discuss a switching Bautin system for center conditions and isochronous center conditions. We further find all of those systems which have an irregular isochronous center. |
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