Title | **Computational algebra for bifurcation theory** |

Author(s) | Karin Gatermann, Serkan Hosten |

Type | Article in Journal |

Abstract | We provide algorithmic methods for the solution of the classification problem of bifurcations by vanishing and non-vanishing derivatives. These methods come from a generalization of standard bases for modules in local rings. We introduce the necessary theory of bifurcations, provide the algorithmic tools, and show the effectiveness of these tools in several examples, including a new one. |

Keywords | Standard bases, Local ring, Bifurcation point, Singularity theory |

ISSN | 0747-7171 |

URL |
http://www.sciencedirect.com/science/article/pii/S0747717105001033 |

Language | English |

Journal | Journal of Symbolic Computation |

Volume | 40 |

Number | 4–5 |

Pages | 1180 - 1207 |

Year | 2005 |

Note | Applications of Computer Algebra (ACA) 2001 and 2002 ACA Applications of Computer Algebra (ACA) 2001 and 2002 |

Edition | 0 |

Translation |
No |

Refereed |
No |