Author | Palmer, Ken. author |
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Title | Shadowing in Dynamical Systems [electronic resource] : Theory and Applications / by Ken Palmer |
Imprint | Boston, MA : Springer US : Imprint: Springer, 2000 |
Connect to | http://dx.doi.org/10.1007/978-1-4757-3210-8 |
Descript | XIV, 300 p. online resource |
1 Hyperbolic Fixed Points of Diffeomorphisms and Their Stable and Unstable Manifolds -- 2 Hyperbolic Sets of Diffeomorphisms -- 3 Transversal Homoclinic Points of Diffeomorphisms and Hyperbolic Sets -- 4 The Shadowing Theorem for Hyperbolic Sets of Diffeomorphisms -- 5 Symbolic Dynamics Near a Transversal Homoclinic Point of a Diffeomorphism -- 6 Hyperbolic Periodic Orbits of Ordinary Differential Equations, Stable and Unstable Manifolds and Asymptotic Phase -- 7 Hyperbolic Sets of Ordinary Differential Equations -- 8 Transversal Homoclinic Points and Hyperbolic Sets in Differential Equations -- 9 Shadowing Theorems for Hyperbolic Sets of Differential Equations -- 10 Symbolic Dynamics Near a Transversal Homoclinic Orbit of a System of Ordinary Differential Equations -- 11 Numerical Shadowing -- References