English

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

Dynamical Systems 2017-03-21 v1

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.

Keywords

Cite

@article{arxiv.1703.06157,
  title  = {($\varepsilon$, T )-Chains and Chain Recurrence in Graph Determined Hybrid Dynamical Systems},
  author = {Kimberly Ayers},
  journal= {arXiv preprint arXiv:1703.06157},
  year   = {2017}
}

Comments

arXiv admin note: text overlap with arXiv:1407.6986

R2 v1 2026-06-22T18:49:13.170Z