Abstract
Up till now our only examples of hyperbolic sets have been hyperbolic fixed points and periodic orbits. In this chapter we give an example of a hyperbolic set which is infinite. Moreover, even though the set consists of only two distinct orbits, we shall show in Chapter 5 that in its neighbourhood the diffeomorphism has chaotic dynamics.
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© 2000 Springer Science+Business Media Dordrecht
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Palmer, K. (2000). Transversal Homoclinic Points of Diffeomorphisms and Hyperbolic Sets. In: Shadowing in Dynamical Systems. Mathematics and Its Applications, vol 501. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3210-8_3
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DOI: https://doi.org/10.1007/978-1-4757-3210-8_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-4827-4
Online ISBN: 978-1-4757-3210-8
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