Numerical approximation of rough invariant curves of planar maps

Kossi D Edoh; J. Lorenz

doi:10.1137/S106482750241373X

Numerical approximation of rough invariant curves of planar maps

Kossi D Edoh
, J. Lorenz

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

In this paper we describe a simple algorithm for the approximation of an invariant curve Γ of a planar map f. We are particularly interested in the case where Γ is attracting but not smooth. Results for the delayed logistic map illustrate the performance of the algorithm.

Original language	English
Pages (from-to)	213-223
Number of pages	11
Journal	SIAM Journal on Scientific Computing
Volume	25
Issue number	1
DOIs	https://doi.org/10.1137/S106482750241373X
State	Published - Jan 1 2003

Keywords

Invariant curves
Transition to chaos

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Numerical approximation of rough invariant curves of planar maps

Abstract

Keywords

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