Selected Publications on lattice dynamical systems

    Spreading speeds and transition fronts of lattice KPP equations in time heterogeneous media (with Feng Cao). ( Pdf )

    Positive Stationary Solutions and Spreading Speeds of KPP Equations in Locally Spatially Inhomogeneous Media (with Liang Kong) ( 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.

    Spreading and Generalized Propagating Speeds of Discrete KPP Models in Time Varying Environments, Frontiers of Mathematics in China, 4 (2009), 523-562.

    Traveling Waves in Time Periodic Lattice Dynamical Systems, Nonlinear Analysis, 54 (2003), 319-339.

    Traveling Waves in Cellular Neural Networks (with C.-H. Hsu and S.-S. Lin), International Journal of Bifurcation and Chaos, 9 (1999), 1307-1319.

    Traveling Waves in Lattice Dynamical Systems (with S.-N. Chow and J. Mallet-Paret), J. Diff. Equations, 149 (1998), 248-291.

    Lifted Lattices, Hyperbolic Structures, and Topological Disorders in Coupled Map Lattices, SIAM J. Appl. Math., 56 (1996), no. 5, 1379--1399.

    Hyperbolic Homoclinic Points of $\ZZ^d$-actions in Lattice Dynamical Systems (with V.S. Afraimovich and S.-N. Chow), International Journal of Bifurcation and Chaos, 6 (1996), no. 5, 1059-1075.

    Stability and Bifurcation of Traveling Wave Solutions in Coupled Map Lattices (with S.-N. Chow), Dynamic Systems and Applications, 4 (1995), 1-25.

    Dynamics in a Discrete Nagumo Equation (with S.-N. Chow), SIAM Journal on Applied Mathematics, 55 (1995), 1764-1781.