Limit Cycles on Piecewise Smooth Vector Fields with Coupled Rigid Centers
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS(2021)
摘要
We provide an upper bound for the maximum number of limit cycles of the class of discontinuous piecewise differential systems formed by two differential systems separated by a straight line presenting rigid centers. These two rigid centers are polynomial differential systems with a linear part and a nonlinear homogeneous part. We study the maximum number of limit cycles that such a class of piecewise differential systems can exhibit.
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关键词
Piecewise smooth vector field, rigid centers, limit cycle
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