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Chaotic difference equations in Rn

Kloeden, P.E. (1981) Chaotic difference equations in Rn. Journal of the Australian Mathematical Society, 31 (2). p. 217.

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Sufficient conditons are given for the chaotic behaviour of difference equations defined in terms of continuous mappings in Rn. These conditions are applicable to both difference equations with snap-back repellors and with saddle points. They are applied here to the twisted-horseshoe difference equation of Guckenheimer, Oster and Ipaktchi.

Publication Type: Journal Article
Murdoch Affiliation: School of Engineering and Information Technology
Publisher: Cambridge University Press
Copyright: © 1982 Australian Mathematical Society
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