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## Details

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

All Authors / Contributors: |
Jan Bouwe van den Berg; Jean-Philippe Lessard |

ISBN: | 9781470428143 1470428148 |

OCLC Number: | 1013988304 |

Notes: | This volume is based on lectures delivered at the 2016 AMS Short Course "Rigorous Numerics in Dynamics", held January 4-5, 2016, in Seattle, Washington. |

Description: | viii, 213 pages ; 27 cm. |

Contents: | Introduction to rigorous numerics in dynamics : general functional analytic setup and an example that forces chaos / Jan Bouwe van den Berg -- Validated numerics for equilibria of analytic vector fields : invariant manifolds and connecting orbits / J.D. Mireles James -- Continuation of solutions and studying delay differential equations via rigorous numerics / Jean-Philippe Lessard -- Computer-assisted bifurcation diagram validation and applications in materials science / Thomas Wanner -- Dynamics and chaos for maps and the Conley index / Sarah Day -- Rigorous computational dynamics in the context of unknown nonlinearities / Konstantin Mischaikow. |

Series Title: | Proceedings of symposia in applied mathematics, v. 74.; Proceedings of symposia in applied mathematics., AMS short course lecture notes. |

Other Titles: | AMS short course, rigorous numerics in dynamics |

Responsibility: | Jan Bouwe van den Berg, Jean-Philippe Lessard, editors. |

### Abstract:

This volume is based on lectures delivered at the 2016 AMS Short Course "Rigorous Numerics in Dynamics", held in January 2016, in Seattle, Washington. The articles in this volume include novel techniques for the rigorous study of the dynamics of maps via the Conley-index theory; periodic orbits of delay differential equations via continuation methods; and invariant manifolds and connecting orbits.
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