TY - EJOUR
PY - 2023
DA - November
TI - Analytical study of nonlinear oscillatory systems using the Hamiltonian approach technique
T2 - Journal of Theoretical and Applied Physics
VL - 8
L1 - https://oiccpress.com/journal-of-theoretical-and-applied-physics/article/analytical-study-of-nonlinear-oscillatory-systems-using-the-hamiltonian-approach-technique/
DO - 10.1007/s40094-014-0133-9
N2 - 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.
IS - 3
PB - OICC Press
KW - Analytical approximate techniques, Dynamical systems, Hamiltonian approach method, Numerical method, Runge–Kutta method, Strongly nonlinear differential equations 
EN -