Shadowing in Dynamical Systems : Theory and Applications

Chapter 1 Hyperbolic Fixed Points of Diffeomorphisms and Their Stable and Unstable Manifolds

Chapter 2 Hyperbolic Sets of Diffeomorphisms

Chapter 3 Transversal Homoclinic Points of Diffeomorphisms and Hyperbolic Sets

Chapter 4 The Shadowing Theorem for Hyperbolic Sets of Diffeomorphisms

Chapter 6 Hyperbolic Periodic Orbits of Ordinary Differential Equations, Stable and Unstable Manifolds and Asymptotic Phase

Chapter 7 Hyperbolic Sets of Ordinary Differential Equations

Chapter 8 Transversal Homoclinic Orbits and Hyperbolic Sets in Differential Equations

Chapter 9 Shadowing Theorems for Hyperbolic Sets of Differential Equations

Chapter 10 Symbolic Dynamics Near a Transversal Homoclinic Orbit of a System of Ordinary Differential Equations

Chapter 11 Numerical Shadowing