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## Details

Document Type: | Book |
---|---|

All Authors / Contributors: |
Thomas C Sideris |

ISBN: | 9789462390201 9462390207 |

OCLC Number: | 870969598 |

Description: | xi, 225 pages : illustrations ; 24 cm |

Contents: | 1. Introduction -- 2. Linear systems -- 3. Existence theory -- 4. Nonautonomous linear systems -- 5. Results from functional analysis -- 6. Dependence on initial conditions and parameters -- 7. Linearization and invariant manifolds -- 8. Periodic solutions -- 9. Center manifolds and bifurcation theory -- 10. The Birkhoff Smale Homoclinic theorem -- Appendix: Results from real analysis. |

Series Title: | Atlantis studies in differential equations, 2. |

Responsibility: | Thomas C. Sideris. |

### Abstract:

The proofs presented in this volume include complete mathematical details as well as extensive use of the implicit function theorem as a unifying approach to perturbative analysis. A wealth of end-of-chapter exercises enables its use as a textbook.
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## Reviews

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Publisher Synopsis

From the book reviews:"This is a very nice text for a beginners course on ordinary differential equations and dynamical systems. ... All basic results about ordinary differential equations are present. ... Each chapter contains examples and exercises ... . this book will certainly be an excellent reference text." (Santiago Ibanez, Mathematical Reviews, December, 2014) Read more...

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