Analytical study of nonlinear oscillatory systems using the Hamiltonian approach technique

الموضوعات : Journal of Theoretical and Applied Physics

Martin Hermann ¹ , Masoud Saravi ² , Hadi Ebrahimi Khah ³

1 - Fakultät für Mathematik und Informatik, Friedrich-Schiller-Universität Jena
2 - Department of Mathematics, Islamic Azad University Nour Branch
3 - Fakultät für Mathematik und Informatik, Friedrich-Schiller-Universität Jena

تاريخ التأكيد : 06 الإثنين , ذو القعدة, 1435 تاريخ الإصدار : 06 الإثنين , ذو القعدة, 1435

الکلمات المفتاحية: Dynamical systems, Strongly nonlinear differentia, Analytical approximate techniq, Hamiltonian approach method, numerical method, Runge–Kutta method,

ملخص المقالة :

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.