Abstract
In this chapter we consider various notions and results of hyperbolic dynamics. Besides the notion of a hyperbolic set, we consider the Smale horseshoe and some of its modifications, the characterization of a hyperbolic set in terms of invariant families of cones, as well as the construction of topological conjugacies near a hyperbolic fixed point. Moreover, we consider briefly geodesic flows on the upper half plane and their hyperbolicity. We refer the reader to [28, 40, 41, 50, 54] for additional topics.
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Barreira, L., Valls, C. (2019). Hyperbolic Dynamics. In: Dynamical Systems by Example. Problem Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-15915-3_4
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DOI: https://doi.org/10.1007/978-3-030-15915-3_4
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-15914-6
Online ISBN: 978-3-030-15915-3
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