Homework 

Chapter

Problems

Date due

1

Strogatz: 2 and 3

Wed, Jan 24

2

Strogatz: 3 and 5

3.4.1, 3.4.7, 3.4.8, 

5.2.6, 5.2.8, 5.2.13

google: find another (bistable) system that exhibits hysteresis (briefly describe the hysteresis + figure + reference)

Wed, Jan 31

3

Strogatz: 5, 6, 10 

5.3.2

6.1.1, 6.1.5 (include null clines in discussion)

Computer problem:

A) numerically integrate the simple harmonic oscillator:  generate one phase space figure, where you plot at least three trajectories with different initial conditions. 

B) numerically integrate the Van der Pol oscillator [Eq. (2)  in chapt. 7]: generate one phase space figure, where you plot at least three trajectories with different initial conditions. 

C) discuss the difference between A) and B)

10.1.4

Fri, Feb 9

4

Strogatz:

6, 10, 11

6.3.8

10.2.4-10.2.8: pick two problems, rest for fun if you like

10.5.1 + interpret result, 

10.5.6 (also do the orbit diagram and compare with lyapunov exponent), 

11.3.1, 

11.3.8 

Fri, Feb 16