Attractors and Lyapunov function for closed relations

Gui Seok Kim; Kyung Bok Lee; Jong Suh Park

doi:10.4134/CKMS.2014.29.1.163

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Commun. Korean Math. Soc. 2014; 29(1): 163-172

Printed January 1, 2014

https://doi.org/10.4134/CKMS.2014.29.1.163

Attractors and Lyapunov function for closed relations

Gui Seok Kim, Kyung Bok Lee, and Jong Suh Park

Hoseo University, Hoseo University, Chungnam National University

Abstract

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Abstract

In this paper, we will study the characterizations of attractors and Lyapunov function which were studied in flows and homeomorphisms will also be satisfied in compact closed relation dynamics. In particular, we will find the necessary and sufficient conditions of the existence of the strict Lyapunov function.

Keywords: closed relation, attractors, Lyapunov function

MSC numbers: 37B40