Title :
Pattern formation and spatial chaos in lattice dynamical systems. I
Author :
Chow, Shui-Nee ; Mallet-Paret, John
Author_Institution :
Sch. of Math., Georgia Inst. of Technol., Atlanta, GA, USA
fDate :
10/1/1995 12:00:00 AM
Abstract :
We survey some recent advances in the theory of lattice dynamical systems, with both discrete-time and continuous-time problems being considered. Among the topics discussed, are pattern formation and spatial chaos, bifurcation of regular patterns (checkerboards and stripes), traveling waves and propagation failure, and homoclinic orbits of Zd actions
Keywords :
bifurcation; chaos; continuous time systems; discrete time systems; nonlinear dynamical systems; pattern recognition; bifurcation; checkerboards; continuous-time problems; discrete-time problems; homoclinic orbits; lattice dynamical systems; pattern formation; propagation failure; regular patterns; spatial chaos; stripes; traveling waves; Bifurcation; Chaos; Differential equations; Displays; Lattices; Mathematics; Orbits; Partial differential equations; Pattern formation; Phased arrays;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
