Analytical study of nonlinear oscillatory systems using the Hamiltonian approach technique
محورهای موضوعی : Journal of Theoretical and Applied Physics
Martin Hermann
1
(Fakultät für Mathematik und Informatik, Friedrich-Schiller-Universität Jena)
Masoud Saravi
2
(Department of Mathematics, Islamic Azad University Nour Branch)
Hadi Ebrahimi Khah
3
(Fakultät für Mathematik und Informatik, Friedrich-Schiller-Universität Jena)
کلید واژه: Dynamical systems, Strongly nonlinear differentia, Analytical approximate techniq, Hamiltonian approach method, numerical method, Runge–Kutta method,
چکیده مقاله :
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.
