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    Dynamics and Hamiltonians : Hamilton's Equations

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    A dynamical system, with one degree of freedom has Hamiltonian (see attachment for equation)

    ? Write down the Hamilton's equations governing the motion of this system, and deduce that H remains constant during the motion.
    ? Solve Hamilton's equations with initial conditions (see attachment) and show that q(t) and p(t) both tend to zero as t tends to infinity.

    See the attached file.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:06 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/dynamics-hamiltonians-hamiltons-equations-29684

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    Solution Summary

    Hamilton equations are investigated and discussed. The solution is detailed and well presented.

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