Shadowing in Dynamical Systems formatIsbn:Softcover - 9781441948274 The Asia-Pacific region is home

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Shadowing in Dynamical Systems formatIsbn:Softcover - 9781441948274 The Asia-Pacific region is homeIn this book the theory of hyperbolic sets is developed, both for diffeomorphisms and flows, with an emphasis on shadowing. We show that hyperbolic sets are expansive and have the shadowing property. Then we use shadowing to prove that hyperbolic sets are robust under perturbation, that they have an asymptotic phase property and also that the dynamics near a transversal homoclinic orbit is chaotic. It turns out that chaotic dynamical systems arising