Call Number | 13116 |
---|---|

Day & Time Location |
MW 8:40am-9:55am 833 Seeley W. Mudd Building |

Points | 3 |

Grading Mode | Standard |

Approvals Required | None |

Instructor | Amir Sagiv |

Type | LECTURE |

Method of Instruction | In-Person |

Course Description | An introduction to the analytic and geometric theory of dynamical systems; basic existence, uniqueness and parameter dependence of solutions to ordinary differential equations; constant coefficient and parametrically forced systems; Fundamental solutions; resonance; limit points, limit cycles and classification of flows in the plane (Poincare-Bendixson Therem); conservative and dissipative systems; linear and nonlinear stability analysis of equilibria and periodic solutions; stable and unstable manifolds; bifurcations, e.g. Andronov-Hopf; sensitive dependence and chaotic dynamics; selected applications. |

Web Site | Vergil |

Department | Applied Physics and Applied Mathematics |

Enrollment | 73 students (86 max) as of 8:44PM Wednesday, February 28, 2024 |

Subject | Applied Mathematics |

Number | E4101 |

Section | 001 |

Division | School of Engineering and Applied Science: Graduate |

Open To | Columbia College, Engineering:Undergraduate, Engineering:Graduate, GSAS, General Studies |

Campus | Morningside |

Note | EARLY REGISTRATION FOR APAM ONLY, OTHER DEPTS JAN 10TH |

Section key | 20231APMA4101E001 |