DYNAMICS OF LATTICE DIFFERENTIAL EQUATIONS-Reference-Cited by-同舟云学术

DYNAMICS OF LATTICE DIFFERENTIAL EQUATIONS

Published:1996-09 Issue:09 Volume:06 Page:1605-1621
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

CHOW SHUI-NEE¹,MALLET-PARET JOHN²,VAN VLECK ERIK S.³

Affiliation:

1. School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332, USA

2. Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912, USA

3. Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado 80401, USA

Abstract

In this paper recent work on the dynamics of lattice differential equations is surveyed. In particular, results on propagation failure and lattice induced anisotropy for traveling wave or plane wave solutions in higher space dimensions spatially discrete bistable reaction–diffusion systems are considered. In addition, analysis of and spatial chaos in the equilibrium states of spatially discrete reaction–diffusion systems are discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127496000977

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