## Find a copy in the library

Finding libraries that hold this item...

## Details

Named Person: | Solomon Lefschetz; Solomon Lefschetz |
---|---|

Material Type: | Thesis/dissertation |

Document Type: | Book |

All Authors / Contributors: |
Mark Wess |

OCLC Number: | 317620750 |

Reproduction Notes: | Electronic reproduction. Boca Raton, Fla., 2008. Mode of access: World Wide Web. |

Description: | ix, 98 p. : ill. (some col.) |

Responsibility: | by Mark Wess. |

### Abstract:

The topological entropy of a continuous map quantifies the amount of chaos observed in the map. In this dissertation we present computational methods which enable us to compute topological entropy for given time series data generated from a continuous map with a transitive attractor. A triangulation is constructed in order to approximate the attractor and to construct a multivalued map that approximates the dynamics of the linear interpolant on the triangulation. The methods utilize simplicial homology and in particular the Lefschetz Fixed Point Theorem to establish the existence of periodic orbits for the linear interpolant. A semiconjugacy is formed with a subshift of nite type for which the entropy can be calculated and provides a lower bound for the entropy of the linear interpolant. The dissertation concludes with a discussion of possible applications of this analysis to experimental time series.

## Reviews

*User-contributed reviews*

Add a review and share your thoughts with other readers.
Be the first.

Add a review and share your thoughts with other readers.
Be the first.

## Tags

Add tags for "Computing topological dynamics from time series".
Be the first.