A Poincaré-Bendixson theorem for hybrid systems (Q2175611)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Poincaré-Bendixson theorem for hybrid systems |
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A Poincaré-Bendixson theorem for hybrid systems (English)
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29 April 2020
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The Poincaré-Bendixson Theorem (PBT) plays an important role in the study of the qualitative behaviour of dynamical systems in the plane: it describes the structure of limit sets in such systems. The authors prove a version of the PBT for two-dimensional hybrid dynamical systems and describe a method for computing the dervative of the Poincaré return map, a useful tool in the stability analysis of hybrid systems. The authors also prove a PBT for a class of one-dimensional hybrid dynamical systems.
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Poincaré-Bendixson theorem
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hybrid systems
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hybrid flows
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stability of periodic orbits
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Poincaré map
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