Back to Courses Catalog 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. Lectures TuTh 10:30 - 11:55 AM; 125 Steele Instructor 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)

Announcements 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. Homework 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 Lecture 1 Lecture 2a Lecture 2b Lecture 3 Lecture 4a Lecture 4b Lecture 5a Lecture 5b Lecture by Jaire Chemical Dynamics Lecture