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Part of the book series: Theoretical and Mathematical Physics ((TMP))

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Abstract

This chapter deals with the sources of chaotic behavior. The theory relies on two fundamental concepts. The first, called hyperbolicity, deals with the issue of instability. It generalizes the notion of unstable (or stable) fixed point, to points which are neither fixed nor periodic.

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© 2006 Springer

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Collet, P., Eckmann, JP. (2006). Hyperbolicity. In: Concepts and Results in Chaotic Dynamics: A Short Course. Theoretical and Mathematical Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34706-4_4

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