Homotopy perturbation method for strongly nonlinear oscillators
This paper reveals the effectiveness of the homotopy perturbation method for strongly
nonlinear oscillators. A generalized Duffing oscillator is adopted to elucidate the solving …
nonlinear oscillators. A generalized Duffing oscillator is adopted to elucidate the solving …
A simple frequency formulation for the tangent oscillator
The frequency of a nonlinear vibration system is nonlinearly related to its amplitude, and this
relationship is critical in the design of a packaging system and a microelectromechanical …
relationship is critical in the design of a packaging system and a microelectromechanical …
Recent developments of some asymptotic methods and their applications for nonlinear vibration equations in engineering problems: A review
M Bayat, I Pakar, G Domairry - Latin American Journal of Solids and …, 2012 - SciELO Brasil
This review features a survey of some recent developments in asymptotic techniques and
new developments, which are valid not only for weakly nonlinear equations, but also for …
new developments, which are valid not only for weakly nonlinear equations, but also for …
[BOOK][B] Artificial neural networks for engineers and scientists: solving ordinary differential equations
S Chakraverty, S Mall - 2017 - taylorfrancis.com
Differential equations play a vital role in the fields of engineering and science. Problems in
engineering and science can be modeled using ordinary or partial differential equations …
engineering and science can be modeled using ordinary or partial differential equations …
On the multistage differential transformation method for analyzing dam** Duffing oscillator and its applications to plasma physics
The multistage differential transformation method (MSDTM) is used to find an approximate
solution to the forced dam** Duffing equation (FDDE). In this paper, we prove that the …
solution to the forced dam** Duffing equation (FDDE). In this paper, we prove that the …
Hamiltonian approach to nonlinear oscillators
JH He - Physics Letters A, 2010 - Elsevier
A Hamiltonian approach to nonlinear oscillators is suggested. A conservative oscillator
always admits a Hamiltonian invariant, H, which keeps unchanged during oscillation. This …
always admits a Hamiltonian invariant, H, which keeps unchanged during oscillation. This …
On the approximate solutions to a damped harmonic oscillator with higher-order nonlinearities and its application to plasma physics: semi-analytical solution and …
In this paper, a strongly nonlinear oscillator equation with higher-order nonlinear (cubic)
restoring force, namely damped Duffing equation with higher-order nonlinearities, has been …
restoring force, namely damped Duffing equation with higher-order nonlinearities, has been …
[HTML][HTML] Approximate solution for nonlinear Duffing oscillator with dam** effect using the modified differential transform method
S Nourazar, A Mirzabeigy - Scientia Iranica, 2013 - Elsevier
The Duffing oscillator is a common model for nonlinear phenomena in science and
engineering. In this paper, we use the modified differential transform method to obtain the …
engineering. In this paper, we use the modified differential transform method to obtain the …
[HTML][HTML] Exact solution of the cubic-quintic Duffing oscillator
A Elías-Zúñiga - Applied Mathematical Modelling, 2013 - Elsevier
In this paper, we derive the exact solution of the cubic-quintic Duffing oscillator based on the
use of Jacobi elliptic functions. We also showed that the exact angular frequency of this …
use of Jacobi elliptic functions. We also showed that the exact angular frequency of this …
[PDF][PDF] Numerical solution of full fractional Duffing equations with Cubic-Quintic-Heptic nonlinearities
In this article, based on the operational matrix of fractional order integration, we introduce a
method for the numerical solution of fractional strongly nonlinear Duffing oscillators with …
method for the numerical solution of fractional strongly nonlinear Duffing oscillators with …