MA 771 Introduction to Dynamical Systems

MA 771 Introduction to Dynamical Systems

Course Information

Lecturer: Ryan Goh
Lectures: Monday,Wednesday,Friday, 10:10am-11:00 am; BRB 121
Office Hours (on Zoom) : Wednesday 1-3pm, Thursday 11am-12pm or by appointment. Zoom links for office hours will be posted on the Blackboard course page
Syllabus: HTML will be here

Course Information

Textbook:

"Dynamical systems, an introduction" by Luis Barreira, and Claudia Valls; ISBN: 978-1-4471-4834-0. An electronic copy can be accessed and downloaded through the BU library webpage.

Additional references Here are some other references which may provide an alternative viewpoint and presentation of the course material and which you might find useful. I am in the process of putting the texts with a * on reserve at the BU library (note some may also be available via the Hathi-Trust . I will update when I have more information.
  • * "An introduction to chaotic dynamical systems" by Robert Devaney; 2nd ed..
  • * "Introduction to the modern theory of dynamical systems" by Anatoly Katok, and Boris Hasselblatt
  • "Introduction to dynamical systems" by Michael Brin and Garrett Stuck
  • * "Concepts and results in chaotic dynamics: A Short Course" by Pierre Collet and Jean-Pierre Eckmann
  • * "An introduction to dynamical systems : continuous and discrete", by Clark Robinson, 2nd ed..

    Course Topics

    We will discuss foundational topics in the theory of Dynamical Systems, primarily focusing on discrete dynamics. Broadly, this course will discuss topological dynamics, low-dimensional mappings, hyperbolic dynamics, and ergodic theory. We aim to illustrate all of these topics through interesting and canonical examples.

    Lectures

    Access to the Zoom codes/links for upcoming lectures, as well as recordings of lectures will be posted on the course Blackboard page, accessible at learn.bu.edu . See the syllabus for more information regarding COVID-19 policies related to our course and more detail on Learn From Anywhere information.

    Homework

    Homeworks will be posted below. Please submit all homeworks to me via email in PDF form (either scanning handwritten solutions or outputting a PDF of your LaTeX file) on the date they are due. Please try to compose solutions in a clear and concise manner.
  • Homework 1, Due Sept. 25th
  • Homework 2, Due Oct. 9th
  • Homework 3, Due Oct. 23rd
  • Homework 4, Due Nov. 16th
  • Homework 5, Due Dec. 9th

    • Grades

    Your course grade will be based on your homework scores (80%), and a presentation (20%) near the end of the semester on a topic related to the course which interests you. See the syllabus for more guidance on the project.

    Additional References, papers, and example codes mentioned in class

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