Degree theory on finite lattices: discretizations of dynamical systems Footnote^*
^*This research has been supported by the Australian Research Council Grant A 8913 2609.

Phil Diamond Department of Mathematics, University of Queensland, Brisbane, Qld 4072, Australia

Peter Kloeden Department of Computing and Mathematics, Deakin University, Geong, Victoria, 3217, Australia

Alexei Pokrovskii Department of Mathematics, University of Queensland, Brisbane, Qld 4072, Australia

Abstract

A degree theory is introduced for mappings of finite subsets of R^d This is applied to computational fixed points and the computer study of bifurcations.

^*This research has been supported by the Australian Research Council Grant A 8913 2609.

^†Permanent address: Institute of Information Transmission Problems Russian Academy of Science, Moscow.

^*This research has been supported by the Australian Research Council Grant A 8913 2609.

^†Permanent address: Institute of Information Transmission Problems Russian Academy of Science, Moscow.

Notes

^*This research has been supported by the Australian Research Council Grant A 8913 2609.

^†Permanent address: Institute of Information Transmission Problems Russian Academy of Science, Moscow.

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Degree theory on finite lattices: discretizations of dynamical systems Footnote^*
^*This research has been supported by the Australian Research Council Grant A 8913 2609.

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Degree theory on finite lattices: discretizations of dynamical systems Footnote**This research has been supported by the Australian Research Council Grant A 8913 2609.

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Degree theory on finite lattices: discretizations of dynamical systems Footnote^*
^*This research has been supported by the Australian Research Council Grant A 8913 2609.