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Global attraction for systems with almost C1 vector fields

Published online by Cambridge University Press:  12 July 2007

Zhanyuan Hou
Zhanyuan Hou
Affiliation:
Department of Computing, Communications Technology and Mathematics (CCTM), London Metropolitan University, City Campus, 100 Minories, London EC3N 1JY, UK(z.hou@londonmet.ac.uk)
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Abstract

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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 f ∈ C1(D, RN) is fully met. Moreover, these criteria are simplified for a class of region-wise linear systems in RN.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 4 , August 2005 , pp. 815 - 832
Copyright
Copyright © Royal Society of Edinburgh 2005