On a complex Duffing system with random excitation

Yong Xu, Wei Xu and Gamal M. Mahmoud

Chaos, Solitons & Fractals, 2008, vol. 35, issue 1, 126-132

Abstract: In this paper, we consider a complex Duffing system subjected to nonstationary random excitation of the form, z¨(t)+2ωξz˙(t)+ω2z+ϵz(t)|z(t)|2=αF(t), where z(t) is a complex function, α=1+i, i denotes the imaginary unit, ω, ξ represent natural frequency and damping coefficient respectively, ϵ is the small perturbation parameter and nonlinearity strength, and F(t) is a random function. This equation with F(t)=0 has connection to the complex nonlinear Schrödinger equation which appears in many important fields of physics.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:35:y:2008:i:1:p:126-132

DOI: 10.1016/j.chaos.2006.07.016

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