10.1007/s40094-014-0133-9

Analytical study of nonlinear oscillatory systems using the Hamiltonian approach technique

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  • OICC Press Authors*1,
  1. Various OICC Press Authors

Published in Issue 2023-11-17

How to Cite

1.
Press Authors O. Analytical study of nonlinear oscillatory systems using the Hamiltonian approach technique. J Theor Appl phys. 2023 Nov. 17;8(3). Available from: https://oiccpress.com/jtap/article/view/2166
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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

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