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arXiv · 1703.06157

($\varepsilon$, T )-Chains and Chain Recurrence in Graph Determined Hybrid Dynamical Systems

Kimberly Ayers
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Abstract

This paper examines a continuous time dynamical system that is an extension of a discrete time dynamical system previously examined, and considers this system together in a product space with a compact subset of Euclidean space. Together, the two systems give a skew product flow. We first examine limit behavior and recurrence in our continuous time extension. We then consider analogous limit and recurrence concepts for a skew product flow, and the behavior on the Euclidean space that results.

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Kimberly Ayers. 2017-03-17. ($\varepsilon$, T )-Chains and Chain Recurrence in Graph Determined Hybrid Dynamical Systems. https://arxiv.org/abs/1703.06157

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