ANALYTICAL STUDY OF NONLINEAR OSCILLATORY SYSTEMS USING THE HAMILTONIAN APPROACH TECHNIQUE

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HERMANN MARTIN; SARAVI MASOUD; EBRAHIMI KHAH HADI

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Journal: JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL) Year:2014 | Volume:8 | Issue:3 Page(s): 1-8

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Title

ANALYTICAL STUDY OF NONLINEAR OSCILLATORY SYSTEMS USING THE HAMILTONIAN APPROACH TECHNIQUE

Author(s)

HERMANN MARTIN | SARAVI MASOUD | EBRAHIMI KHAH HADI | Issue Writer Certificate

Keywords

DYNAMICAL SYSTEMS STRONGLY NONLINEAR DIFFERENTIAL EQUATIONS ANALYTICAL APPROXIMATE TECHNIQUES HAMILTONIAN APPROACH METHOD NUMERICAL METHOD RUNGE–KUTTA METHOD

Abstract

In 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.

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APA: Copy

HERMANN, MARTIN, SARAVI, MASOUD, & EBRAHIMI KHAH, HADI. (2014). ANALYTICAL STUDY OF NONLINEAR OSCILLATORY SYSTEMS USING THE HAMILTONIAN APPROACH TECHNIQUE. JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL), 8(3), 1-8. SID. https://sid.ir/paper/318804/en

Vancouver: Copy

HERMANN MARTIN, SARAVI MASOUD, EBRAHIMI KHAH HADI. ANALYTICAL STUDY OF NONLINEAR OSCILLATORY SYSTEMS USING THE HAMILTONIAN APPROACH TECHNIQUE. JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL)[Internet]. 2014;8(3):1-8. Available from: https://sid.ir/paper/318804/en

IEEE: Copy

MARTIN HERMANN, MASOUD SARAVI, and HADI EBRAHIMI KHAH, “ANALYTICAL STUDY OF NONLINEAR OSCILLATORY SYSTEMS USING THE HAMILTONIAN APPROACH TECHNIQUE,” JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL), vol. 8, no. 3, pp. 1–8, 2014, [Online]. Available: https://sid.ir/paper/318804/en

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