Problem 4.1. The Hamiltonian of a 1 degree of freedom system is:11 2H=+4(a) Find the equations of motion for q, p(b) Find the equilibria and calculate the frequency of small oscillations about any stable equilibria(c) Sketch a variety of trajectories of the dynamics in phase space (q, p) (including the direction theyare traversed) and indicate any equilibria. Make sure you include enough trajectories to illustrate: smallamplitude oscillations about stable equilibria; the behavior near any unstable equilibria; large amplitudeoscillations

Given : Hamiltonian , We will use Hamilton equation of motion to solve the problem. Then write the…

Answered: Problem 4.1. The Hamiltonian of a 1…

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Part b
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