CDS 140b -- Winter 2008
Second Term

Introduction to Dynamics

Tuesdays and Thursdays
10:30am-11:55am
Steele 214

Course Description

9 units (3-0-6); second term. Prerequisite: CDS 140a or equivalent

This class will be a continuation of CDS 140a on basic dynamical systems. This term there will be a series of lectures by guests; each will be somewhat self contained, but assume a basic knowledge of dynamical systems and mechanics, as covered in 140a.

The grade will be based on weekly homework assignments and a final project. The project must be approved by the instructors and can be tied to one of the special lecture segments.

Instructors: Marsden and Murray

TA: Molei Tao

Lecture Schedule

Weeks 1-2, January 8, 10, 15, 17: Jerrold E. Marsden and Philip DuToit,

• Invariant Manifolds and Lagrangian Coherent Structures
  • Notes and Lectures
  • Homework for Weeks 1 and 2

Week 3, January 22, 24: Joris Vankerschaver,

• Hamiltonian Dynamics
  • Lecture
  • Homework for Week 3

Week 4, January 29, 31: Joris Vankerschaver,

• Fluid Mechanics and Vortex Dynamics
  • Lecture
  • Homework for Week 4

Week 5, February 5, 7: Eva Kano (USC),

• Dynamics and Stability
  • Lecture 1
  • Lecture 2
  • Homework for Week 5

Week 6, February 12, 14: Nawaf Bou-Rabee,

• The Tippe Top and other Mechanical Toys: Heteroclinic Connections and Dissipation Induced Instabilities
  • Lecture
  • Homework for Week 6

Weeks 7-8, Feb 19, 21, 26, 28: Richard Murray,

• Dynamics and Control
  • Lecture notes
  • Homework for Weeks 7-8

Week 9, March 4, 6: Sigrid Leyendecker,

• Computational Dynamics for Mechanical Systems
  • Lecture
  • Homework for Week 9

Week 10, March 11, 14:

• Project Preparation

Projects are due on Wednesday, March 19.