The Poincare return map for a solution of the periodically
Chapter , Problem 9(choose chapter or problem)
The Poincare return map for a solution of the periodically forced harmonic oscillator dy dt = v dv dt = 3y + 0.2 sin t is given on the next page. (a) Find the solution with the initial condition y(0) = 1, v(0) = 0.(b) Discuss why the Poincare return map for this solution looks the way it does. (c) What would the Poincare return map for the solution with y(0) = 4, v(0) = 0look like?(d) Discuss why the Poincare return map for the forced harmonic oscillator system is different from the Poincare map of the forced pendulum.
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