MAT 207, Fall Quarter, 2011

**Lectures:**
MWF 10:00–10:50 a.m., Soc Sci 90

**Office hours:**

MWF 2:30–3:30 p.m.

**Text:**
*Nonlinear Dynamics and Chaos*, S. Strogatz

John Hunter

Department of Mathematics

University of California

Davis, CA 95616, USA

e-mail: `jkhunter@ucdavis.edu`

Phone:

- (530) 554-1397 (Office)
- (530) 752-6653 (Fax)

Office: 3230 Mathematical Sciences Building

Here are final solutions. Some phase plane sketches are here.

Here are some notes:

Chapter 1. Introduction

Chapter 2. One-dimensional Systems

Chapter 3. Two-dimensional Linear Systems

Bibliography

E. N. Lorenz, Deterministic nonperiodic flow (1963)

R. M. May, Simple mathematical models with very complicated dynamics (1976)

D. Ruelle and F. Takens,
On the nature of turbulence (1971)

Here are sample final questions. Here are some brief solutions so you can check your answers. The actual final questions may be on any of the topics we have covered this quarter, not just the ones in these particular questions. This material corresponds roughly to Ch. 1–8 and Ch. 10 of the text by Strogatz.

**Problem set 1** (Due Wednesday, Oct. 5)

LaTex file: Set 1

Solutions: Set 1

**Problem set 2** (Due Wednesday, Oct. 12)

LaTex file: Set 2

Solutions: Set 2

**Problem set 3** (Due Wednesday, Oct. 19)

LaTex file: Set 3

Solutions: Set 3

Phase portraits: Set 3

**Problem set 4** (Due Wednesday, Oct. 26)

LaTex file: Set 4

Solutions: Set 4

MATLAB script
logistic.m
for Problem 4

**Problem set 5** (Due Wednesday, Nov. 2)

LaTex file: Set 5

Solutions: Set 5

**Problem set 6** (Due Wednesday, Nov. 9)

LaTex file: Set 6

Solutions: Set 6

**Problem set 7** (Due Wednesday, Nov. 23)

LaTex file: Set 7

Solutions: Set 7

Phase portaits: Set 7

**Problem set 8** (Due Friday, Dec. 2)

LaTex file: Set 8

Solutions: Set 8