Course Title: | Chaos Theory |
---|---|

Course Number: | MATH 5470 - 1; meets with MATH 6440 - 1 |

Instructor: | Andrejs Treibergs |

Home Page: | http://www.math.utah.edu/~treiberg/M5470.html |

Place & Time: | T, H 9:10 - 10:30 in LS 101 |

Office Hours: | 11:45-12:45 M, W; 10:45 - 11:45 T in JWB 224 (tent.) |

E-mail: | |

Prerequisites: | "C" or better in MATH 2280 OR MATH 2250 or consent of instructor. |

Main Text: | Stephen H. Strogatz, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering (Studies in Nonlinearity) 2nd ed., Westview Press; 2014 |

ISBN-13: 978-0813349107 | |

Additional Texts: | Annotated list of additional texts. |

Course Description: Chaos is everywhere around us from fluid flows, weather forecasting, stock prices and fractal images. The theory of nonlinear dynamical systems uses bifurcations, attractors and fractals to describe the chaotic behavior in the real world. The course gives an introduction to chaotic motions, strange attractors, fractal geometry:

We shall generally follow Strogatz' text. We will emphasize applications taken from various subjects like mathematical biology, engineering, geometry and physics. Occasionally we'll refer to other texts. Topics include (depending on time):

- Mechanical Vibrations
- Chemical Oscillators
- Superconducting Circuits
- Insect Outbreaks
- Genetic Control Systems
- Chaotic water Wheel
- Noisy Communications

Last updated: 3 / 1 / 16