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Keyword: Runge–Kutta method

Analytical study of nonlinear oscillatory systems using the Hamiltonian approach technique

AbstractIn this article, we investigate and apply Hamiltonian approach method as one of the analytical approximate techniques, for studying the strongly nonlinear dynamical systems such as the motion of a rigid rod rocking back on the circular surface without slipping and the free vibrations of an autonomous conservative oscillator with inertia and static-type fifth-order nonlinearities. […]