Almost invariant sets in Chua's circuit

Michael Dellnitz; Oliver Junge

doi:10.1142/S0218127497001655

Almost invariant sets in Chua's circuit

Michael Dellnitz, Oliver Junge

Universität Bayreuth

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

46 Scopus citations

Abstract

Recently multilevel subdivision techniques have been introduced in the numerical investigation of complicated dynamical behavior. We illustrate the applicability and efficiency of these methods by a detailed numerical study of Chua's circuit. In particular we will show that there exist two regions in phase space which are almost invariant in the sense that typical trajectories stay inside each of these sets on average for quite a long time.

Original language	English
Pages (from-to)	2475-2485
Number of pages	11
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	7
Issue number	11
DOIs	https://doi.org/10.1142/S0218127497001655
State	Published - Nov 1997
Externally published	Yes

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author = "Michael Dellnitz and Oliver Junge",

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Almost invariant sets in Chua's circuit

Abstract

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