MAT 555 Introduction to Dynamical Systems, Spring 2012


Homework assignments

  • Week 1:
    Look at: 1.1.2, 1.2.1, 1.2.4, 1.3.3, 1.4.3, 1.4.4, 1.7.3
    Submit by February 3: 1.4.2, 1.7.4, 1.8.3, 1.11.2
  • Course information

    This is an introduction to the theory of dynamical systems aimed at second- and third- year graduate students.

    Course requirements

  • completion of core courses or permission of instructor
  • class participation and completion of homework
  • Location and time

    The lecture meets MWF from 9:35-10:30 in Physics P125.

    Textbook

    We will primarily use Introduction to Dynamical Systems by Michael Brin and Garrett Stuck.
    Most homework assignments will be taken from this text.

    Recommended reading:
  • Introduction to the modern theory of dynamical systems, by Anatole Katok and Boris Hasselblatt (Cambridge University Press, 1996)
  • Ergodic Theory and Differentiable Dynamics, by Ricardo Mañé (Springer-Verlag, 1987)
  • "Finding a horseshoe on the beaches of Rio", by Stephen Smale (Mathemathical Intelligencer, 1998)
  • The Scientific Legacy of Poincaré, edited by Éric Charpentier, Éteinne Ghys, and Annick Lesne (AMS and SMF, 2010)
  • Scholarpedia, Encyclopedia of dynamical systems
  • Instructor

    Dr. Joshua Bowman
    Office: Math Tower 3-114
    Office hours:

  • MF 10:45-11:45 in my office
  • TBA in MSC
  • or by appointment

  • Email: joshua dot bowman at gmail dot com
    On Twitter, my handle is @Thalesdisciple.



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