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Chain recurrence and discretisation

Published online by Cambridge University Press:  17 April 2009

Barnabas M. Garay  and
Josef Hofbauer
Barnabas M. Garay
Affiliation:
Department of Mathematics, University of Technology, H-1521 Budapest, Hungary
Josef Hofbauer
Affiliation:
Department of Mathematics, University Vienna, Strudlhofgasse 4, A-1090 Wien, Austria
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Abstract

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Upper and lower semicontinuity results for the chain recurrent set are shown to remain valid in numerical dynamics with constant stepsizes. It is also pointed out that the chain recurrent set contains numerical ω–limit sets for discretisations with a variable stepsize sequence approaching zero.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 55 , Issue 1 , February 1997 , pp. 63 - 71
Copyright
Copyright © Australian Mathematical Society 1997

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