Selected Publications on global dynamics in infinite dimensional dynamical systems

---

Asymptotic Dynamics of a Class of Coupled Oscillators Driven by White Noises (with Zhongwei Shen and Shengfan Zhou), Stochastics and Dynamics, 13 (2013), 1350002, 23 pp. ( Abstract)

Random attractors for stochastic lattice dynamical systems in weighted spaces (with Xiaoying Han and Shengfan Zhou), Journal of Differential Equations, 250 (2011), 1235-1266.

A--Stability of Global Attractors of Competition Diffusion Systems (with Georg Hetzer and Tung Nguyen), Journal of Dynamics and Differential Equations, 22 (2010), 553-561.

One-Dimensional Random Attractor and Rotation Number of the Stochastic Damped Sine-Gordon Equation (with Zhongwei Shen and Shengfan Zhou), Journal of Differential Equations, 248 (2010), 1432-1457.

Global attractors for partly dissipative random/stochastic reaction diffusion systems (with Jianhua Huang), International Journal of Evolution Equations, 4 (2010), 21-49

Pullback Attractors for Nonautonomous and Random Parabolic Equations on Non-Smooth Domains (with Jianhua Huang), Discrete and Continuous Dynamical Systems 24 (2009), 855-882

Carrying Simplices in Nonautonomous and Random Competitive Kolmogorov Systems (with Y. Wang), Journal of Differential Equations , 245 (2008), 1-29

Lyapunov Exponents and Asymptotic Dynamics in Random Kolmogorov Models (with J. Mierczynski), Journal of Evolution Equations , 4 (2004), 371-390

Asymptotic Behavior of Positive Solutions of Random and Stochastic Parabolic Equations of Fisher and Kolmogorov Types (with G. Hetzer and S. Zhu), Journal of Dynamics and Differential Equations, 14 (2002), 139-188

Convergence in Almost Periodic Fisher and Kolmogorov Models (with Y. Yi), J. Math. Biol., 37 (1998), 84-102