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Crossing limit cycles of nonsmooth Liénard systems and applications
| Content Provider | Semantic Scholar |
|---|---|
| Author | Chen, Hebai Chen, Xingwu |
| Copyright Year | 2019 |
| Abstract | Continuing the investigation for the number of crossing limit cycles of nonsmooth Liénard systems in [Nonlinearity 21(2008), 2121-2142] for the case of a unique equilibrium, in this paper we consider the case of any number of equilibria. We give results about the existence and uniqueness of crossing limit cycles, which hold not only for a unique equilibrium but also for multiple equilibria. Moreover, we find a sufficient condition for the nonexistence of crossing limit cycles. Finally, applying our results we prove the uniqueness of crossing limit cycles for planar piecewise linear systems with a line of discontinuity and without sliding sets. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://export.arxiv.org/pdf/1910.07964 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
