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Possible Occurrence of Hyperbolic Attractors

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Hyperbolic Chaos
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Abstract

In this chapter we review some situations considered or mentioned in literature that may have relation to occurrence of uniformly hyperbolic attractors in dynamical systems represented by maps or differential equations. To date, the approaches under discussion are developed to different extents. Only few of them are elaborated up to such degree that may allow illustrating on a level of numerical computations. Nevertheless, the collected material is of undoubted significance for prospects of search for real-world systems with uniformly hyperbolic attractors or design of physical and technical devices operating due to the presence of such attractors.

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Kuznetsov, S.P. (2012). Possible Occurrence of Hyperbolic Attractors. In: Hyperbolic Chaos. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23666-2_2

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