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- W2032173690 abstract "The term hybrid system refers to a continuous time dynamical system that undergoes Markovian perturbations at discrete time intervals. In this paper, we find that under the right formulation, a hybrid system can be treated as a dynamical system on a compact space. This allows one to study its limit sets. We examine the Morse decompositions of hybrid systems, find a sufficient condition for the existence of a non-trivial Morse decomposition, and study the Morse sets of such a decomposition. Finally, we consider the case in which the Markovian perturbations are small, showing that trajectories in a hybrid system with small perturbations behave similarly to those of the unperturbed dynamical system." @default.
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- W2032173690 date "2012-11-22" @default.
- W2032173690 modified "2023-09-23" @default.
- W2032173690 title "Limit and Morse Sets for Deterministic Hybrid Systems" @default.
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- W2032173690 doi "https://doi.org/10.1007/s12346-012-0092-y" @default.
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