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arXiv · 2108.07434

Poincar\'{e}-Hopf theorem for hybrid systems

Matthew D. Kvalheim
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Abstract

A generalization of the Poincar\'{e}-Hopf index theorem applicable to hybrid dynamical systems is obtained. For the hybrid systems considered, guard sets are not assumed to be smooth; distinct "modes" are not assumed to have constant dimension; and resets are arbitrary multivalued maps (relations).

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Matthew D. Kvalheim. 2021-08-17. Poincar\'{e}-Hopf theorem for hybrid systems. https://arxiv.org/abs/2108.07434

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