Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222113 | Nonlinear Analysis: Real World Applications | 2018 | 25 Pages |
Abstract
In this paper, we study bifurcation of limit cycles from the equator of piecewise polynomial systems with no singular points at infinity. We develop a method for computing the Lyapunov constants at infinity of piecewise polynomial systems. In particular, we consider cubic piecewise polynomial systems and study limit cycle bifurcations in the neighborhood of the origin and infinity. Moreover, an example is presented to show 11 limit cycles bifurcating from infinity.
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Authors
Ting Chen, Lihong Huang, Pei Yu, Wentao Huang,