24 crossing limit cycles in only one nest for piecewise cubic systems
In this work, we are interested in crossing limit cycles surrounding only one equilibrium point or a sliding segment. The studied systems are piecewise cubic polynomial defined in two zones separated by a straight line. In this class, we get at least 24 crossing limit cycles, all of them in only one...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2020 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:221285 |
| Online Access: | https://ddd.uab.cat/record/221285 https://dx.doi.org/urn:doi:10.1016/j.aml.2019.106189 |
| Access Level: | Open access |
| Keyword: | Cubic piecewise vector field Piecewise center cyclicity Lyapunov quantities |
| Summary: | In this work, we are interested in crossing limit cycles surrounding only one equilibrium point or a sliding segment. The studied systems are piecewise cubic polynomial defined in two zones separated by a straight line. In this class, we get at least 24 crossing limit cycles, all of them in only one nest, bifurcating from a cubic polynomial center. The computations use a parallelization algorithm. |
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