Abstract
In this chapter, we show how to construct a hyperbolic set somewhat more complicated than a single hyperbolic periodic orbit. In Chapter 10 we shall use shadowing to show that the dynamics in the neighbourhood of this hyperbolic set is chaotic.
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© 2000 Springer Science+Business Media Dordrecht
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Palmer, K. (2000). Transversal Homoclinic Orbits and Hyperbolic Sets in Differential Equations. In: Shadowing in Dynamical Systems. Mathematics and Its Applications, vol 501. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3210-8_8
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DOI: https://doi.org/10.1007/978-1-4757-3210-8_8
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-4827-4
Online ISBN: 978-1-4757-3210-8
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