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It is known that planar discontinuous piecewise linear differential systems separated by a straight line have no limit cycles when both linear differential systems are centers. Here, we study the… Click to show full abstract
It is known that planar discontinuous piecewise linear differential systems separated by a straight line have no limit cycles when both linear differential systems are centers. Here, we study the limit cycles of the planar discontinuous piecewise linear differential systems separated by a circle when both linear differential systems are centers. Our main results show that such discontinuous piecewise differential systems can have zero, one, two, or three limit cycles, but no more limit cycles than three.
Keywords:
circle;
discontinuous piecewise;
differential systems;
limit;
limit cycles;
linear differential
Journal Title: Chaos
Year Published: 2022
Link to full text (if available)
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Journal Title: Chaos
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!