Z. D. Dai, “Regularity of the Attractor for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities,” Acta Mathematicae Applicatae Sinica (English Series), Vol. 18, No. 2, 2002, pp. 263-272. doi:10.1007/s102550200025

has been cited by the following article:

• TITLE: Random Attractors for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities with Additive Noise

  AUTHORS: Jinyan Yin, Yangrong Li, Huijun Zhao

  KEYWORDS: Random Dynamical System; Random Attractor; Hamiltonian Amplitude Equation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.1 No.3, September 20, 2013

  ABSTRACT: In this paper, we study the random dynamical system (RDS) generated by the dissipative Hamiltonian amplitude equation with additive noise defined on the periodic boundaries. We investigate the existence of a compact random attractor for the RDS associated with the equation through introducing two functions and one process in E0=H1×L2. The compactness of the RDS is established by the decomposition of solution semigroup.