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 October 2, 2022, 7:32 pm ad1c9bdddf
Hamilton equations are investigated and discussed. The solution is detailed and well presented.