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CDS 140b


CDS 140b -- Winter 2006
Second Term

Introduction to Dynamics

Prerequisites: ACM 95 or equivalent

CDS 140b is a continuation of CDS 140a. Most of the course (80%) will cover basic tools from nonlinear dynamics, such as perturbation theory, method of averaging, bifurcation theory, global bifurcation and chaos, and Hamiltonian systems. Besides studying standard textbook examples (van der Pol, Duffing, and Lorenz equations), for some of the course (20%) we will analyze and design new classes of space mission trajectories, applying basic tools of dynamical systems, such as periodic and quasi-periodic orbits, invariant manifolds, homoclinic and heteroclinic connections, symbolic dynamics and chaos.


TuTh 10:30 - 11:55 AM; 125 Steele


Wang Sang Koon
119 Steele,
email: koon
Office hours: by appointment

Teaching Assistant

Steve Brunton
email: steve
Office hours:
Wednesday 10:30-11:30am (Red Door)


  • The first lecture for CDS 140b will be on Thursday January 5, 2005 in 125 Steele.
  • Recitation sections will be held on Monday evenings from 4:30-5:30pm starting on Jan 17.
  • Homework will be assigned on Tuesday or Thursday and is due by 5pm on Friday the following week.


  • HW #1: 9.1,9.2,9.3,10.1,10.2
  • HW #2: 11.1,11.2,11.5,11.6,11.7,11.9,11.10
  • HW #3: 13.1,13.3,13.6,13.10, additional
  • HW #4: 13.7,13.9, additional
  • HW #5: 15.1,15.2,15.3
  • HW #6: 15.4,15.5,15.6 (OMIT 15.5d & 15.6d)

Lecture Notes