A class of generalized Ginzburg–Landau equations with random switching

Zheng Wu, George Yin and Dongxia Lei

Physica A: Statistical Mechanics and its Applications, 2018, vol. 506, issue C, 324-336

Abstract: This paper focuses on a class of generalized Ginzburg–Landau equations with random switching. In our formulation, the nonlinear term is allowed to have higher polynomial growth rate than the usual cubic polynomials. The random switching is modeled by a continuous-time Markov chain with a finite state space. First, an explicit solution is obtained. Then properties such as stochastic-ultimate boundedness and permanence of the solution processes are investigated. Finally, two-time-scale models are examined leading to a reduction of complexity.

Keywords: Ginzburg–Landau equation; Regime-switching diffusion; Stochastic boundedness; Permanence; Two-time-scale model (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:506:y:2018:i:c:p:324-336

DOI: 10.1016/j.physa.2018.04.013

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