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Chaotic difference equations in Rn

Part of: Difference equations Difference and functional equations

Published online by Cambridge University Press:  09 April 2009

P. E. Kloeden
P. E. Kloeden
Affiliation:
School of Mathematical and Physical Sciences, Murdoch University, Murdoch, W.A.6153, Australia
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Abstract

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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.

MSC classification

Secondary: 39A10: Difference equations, additive
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 31 , Issue 2 , August 1981 , pp. 217 - 225
Copyright
Copyright © Australian Mathematical Society 1982

References

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