Analytical study of nonlinear oscillatory systems using the Hamiltonian approach technique

Authors

Abstract

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. To illustrate the applicability and accuracy of the method, the approximate solution results are compared with exact and numerical solutions.

Keywords

• Hamiltonian approach method
• Numerical method
• Runge–Kutta method
• Strongly nonlinear differential equations
• Analytical approximate techniques
• Dynamical systems