Add to ORKGCopyright © 2013 Amnah S. Al-Johani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In this paper, quadratic nonlinear oscillators under stochastic excitation are considered. The Wiener-Hermite expansion with perturbation (WHEP) method and the homotopy perturbation method (HPM) are used and compared. Different approximation orders are considered and statistical moments are computed in the two methods. The two methods show efficiency in estimating the stochastic response of the nonlinear differential equations
A new method is presented for approximating the stationary probability density function of the respo...
A new method of inferencing of coupled stochastic nonlinear oscillators is described. The technique ...
An approximate analytical technique is developed for determining, in closed form, the transition pro...
Copyright © 2013 Amnah S. Al-Johani. This is an open access article distributed under the Creative C...
In this paper, nonlinear oscillators under quadratic nonlinearity with stochastic inputs are consid...
In this paper, the stochastic Wiener Hermite expansion (WHE) is used to find the statistical measure...
AbstractIn this paper, the stochastic Wiener Hermite expansion (WHE) is used to find the statistical...
[EN] The aim of this paper is to perform a stochastic analysis of nonlinear oscillators subject to s...
AbstractThe development of numerical solution schemes for stochastic oscillators under additive and/...
The random response of a Duffing oscillator excited by a quadratic polynomial of a filtered Gaussian...
The paper deals with the analysis of stochastic mechanical systems with one degree of freedom and pr...
[EN] This paper deals with the construction of approximate series solutions of random nonlinear diff...
The response of a dynamical system modelled by differential equations with white noise as the forcin...
Proceedings, pp. 395—407 This paper is concerned with the study of some types of nonlinear oscillato...
AbstractA novel stochastic linearization approach is developed to predict the second-moment response...
A new method is presented for approximating the stationary probability density function of the respo...
A new method of inferencing of coupled stochastic nonlinear oscillators is described. The technique ...
An approximate analytical technique is developed for determining, in closed form, the transition pro...
Copyright © 2013 Amnah S. Al-Johani. This is an open access article distributed under the Creative C...
In this paper, nonlinear oscillators under quadratic nonlinearity with stochastic inputs are consid...
In this paper, the stochastic Wiener Hermite expansion (WHE) is used to find the statistical measure...
AbstractIn this paper, the stochastic Wiener Hermite expansion (WHE) is used to find the statistical...
[EN] The aim of this paper is to perform a stochastic analysis of nonlinear oscillators subject to s...
AbstractThe development of numerical solution schemes for stochastic oscillators under additive and/...
The random response of a Duffing oscillator excited by a quadratic polynomial of a filtered Gaussian...
The paper deals with the analysis of stochastic mechanical systems with one degree of freedom and pr...
[EN] This paper deals with the construction of approximate series solutions of random nonlinear diff...
The response of a dynamical system modelled by differential equations with white noise as the forcin...
Proceedings, pp. 395—407 This paper is concerned with the study of some types of nonlinear oscillato...
AbstractA novel stochastic linearization approach is developed to predict the second-moment response...
A new method is presented for approximating the stationary probability density function of the respo...
A new method of inferencing of coupled stochastic nonlinear oscillators is described. The technique ...
An approximate analytical technique is developed for determining, in closed form, the transition pro...