## Smooth Dynamical SystemsSmooth Dynamical Systems |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

1 | |

12 | |

Chapter 2 Equivalent Systems | 28 |

Chapter 3 Integration of Vector Fields | 57 |

Chapter 4 Linear Systems | 80 |

Chapter 5 Linearization | 109 |

Chapter 6 Stable Manifolds | 143 |

Chapter 7 Stable Systems | 161 |

246 | |

253 | |

### Other editions - View all

### Common terms and phrases

admissible chart Appendix automorphism Banach space basic set bifurcation Chapter closed orbit continuous linear continuous map Corollary deduce defined definition denote dense diffeomorphism differential dynamical system embedding equations equivalence classes equivalence relation example Exercise fibre Figure finite dimensional flow equivalence function given GL(E Hausdorff hence HL(E homeomorphism hyperbolic fixed point induced integral curve integral flow intersection isomorphism Lemma Let f Liapunov Lipschitz with constant map f map g mapping theorem Morse–Smale non-empty norm open neighbourhood open subset or(T periodic points perturbation phase portrait phism Proposition Prove respect restriction Riemannian metric rotation sequence smooth stable manifold theorem stable set stable summand structurally stable submanifold subspace Suppose taking tangent bundle theory topological conjugacy topological equivalence topological space topologically conjugate Tºx trivial unique unstable vector bundle vector field velocity zero