Physics 3221
Fall Term 2010
Homework Problem Set 11
Due Monday, November 29, 12:50 pm in class. (Remember, you can always hand it in early.)
This is an extra credit homework assignment.
Reading: Before you start working on this homework set, read sections 4.6 “Chaos in a
pendulum” and 4.7 “Mapping” of Marion and Thornton.
For the first two problems you will need to use your favorite computer program to solve
numerically the differential equation (4.41) for the nonlinear damped driven oscillator, or alternatively, the equivalent system of equations (4.42) and (4.43).
Problem 1. Reproduce the results shown in Fig. 4-19 from Marion&Thornton, at least for
the following three values of the parameter F : F = 0.8, 0.9, 1.0.
Problem 2. Problem 4-10 from Marion&Thornton.
Problem 3. Problem 4-11 from Marion&Thornton.
Problem 4. Problem 4-12 from Marion&Thornton.
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