Physics 471D: Homework Assignments

Homework 

Chapter

Problems

Date due

1

Strogatz: 2 and 3

(no need to solve ODEs for problems of chapter 2, except 2.2.13)

2.2.3, 2.2.4, 2.2.8, 2.2.10, 2.2.13 a-c, 2.3.3, 2.4.2, 

3.1.2, 3.1.3

Wed, Jan 21

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 28

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

Wed, Feb 4

4

Strogatz:

6, 10, 11



Fri, Feb 13