An example of a fully bounded chaotic sea that surrounds an infinite set of nested invariant tori

Zeraoulia Elhadj and J. C. Sprott

Communicated by Jose Luis Lopez-Bonilla

(Received: December 10, 2011, Accepted: February 2, 2012)

ABSTRACT

The aim of this letter is to present a fully bounded 2-D model for a chaotic sea that surrounds an infinite set of nested invariant tori. The relevance of this result is that there are some examples of bounded chaotic seas but there is no rigorous proof of this property for specific cases.

Ref: E. Zeraoulia and  J. C. Sprott, Palestine Journal of Mathematics 1, 71-73 (2012)

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