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arXiv · 1503.00187

Cyclic hybrid systems of flows on manifolds

Witold Szczechla
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Abstract

The considered continuous-and-discrete hybrid system is a cyclic relay of smooth flows on an $n$-dimensional manifold $M$, where the discrete process of switching from each flow to the next takes place on the boundaries of the corresponding $n$-dimensional submanifolds of $M$. The main result is the existence of at least one periodic cyclic trajectory under a certain topological condition concerning one of the submanifold boundaries.

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Witold Szczechla. 2015-02-28. Cyclic hybrid systems of flows on manifolds. https://arxiv.org/abs/1503.00187

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