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.