This program estimates the whole spectrum of Lyapunov exponents for a given, possibly multivariate, time series. Whole spectrum means: If d components are given and the embedding dimension is m than m*d exponents will be determined. The method is based on the work of Sano and Sawada.

Everything not being a valid option will be interpreted as a potential datafile name. Given no datafile at all, means read stdin. Also - means stdin

Possible options are:

Option | Description | Default |
---|---|---|

-l# | number of points to use | whole file |

-x# | number of lines to be ignored | 0 |

-c# | column to be read | 1 |

-m# | no. of components, embedding dimension | 1,2 |

-d# | delay for the delay vectors | 1 |

-r# | initial size of the neighborhoods is dynamically changed during the run | (data interval)/1000 |

-f# | factor to increase the size of the neighborhood if not enough neighbors were found | 1.2 |

-k# | number of neighbors to use (this version uses exactly the number of neighbors specified. If found more, only the # nearest will be used) | 30 |

-n# | number of iterations | number of points |

-I | invert the order of the time series. Is supposed to help finding spurious exponents. | no inversion |

-o# | output file name | 'datafile'.lyaps (or stdin.lyaps if data were read from stdin) if no -o is given stdout is used |

-V# | verbosity level 0: only panic messages 1: add input/output messages | 1 |

-h | show these options | none |

Output is written every 10 seconds (real time), approximately.

View the C-sources.

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