Hostname: page-component-78c5997874-v9fdk Total loading time: 0 Render date: 2024-11-02T22:04:34.154Z Has data issue: false hasContentIssue false

Global attraction for systems with almost C1 vector fields

Published online by Cambridge University Press:  12 July 2007

Zhanyuan Hou
Affiliation:
Department of Computing, Communications Technology and Mathematics (CCTM), London Metropolitan University, City Campus, 100 Minories, London EC3N 1JY, UK([email protected])

Abstract

Sufficient conditions are given for an autonomous differential systemto have a single point global attractor (repeller) with f continuously differentiable almost everywhere. These results incorporate those of Hartman and Olech as a special case even when the condition fC1(D, RN) is fully met. Moreover, these criteria are simplified for a class of region-wise linear systems in RN.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)