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January  2008, 9(1): 37-46. doi: 10.3934/dcdsb.2008.9.37

Deterministic walks in rigid environments with aging

Leonid A. Bunimovich 1, and  Alex Yurchenko 1,

1. 

School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, United States, United States

Received  June 2006 Revised  September 2007 Published  October 2007

Aging is an abundant property of materials, populations, and networks. We consider some classes of cellular automata (Deterministic Walks in Random Environments) where the process of aging is described by a time dependent function, called a rigidity of the environment. Asymptotic laws for the dynamics of perturbations propagating in such environments with aging are obtained.
Keywords: random environments, Deterministic walks, aging, rigidity of an environment, oscillations, propagation, cellular automata..
Mathematics Subject Classification: 82C20, 82C23, 82C4.
Citation: Leonid A. Bunimovich, Alex Yurchenko. Deterministic walks in rigid environments with aging. Discrete and Continuous Dynamical Systems - B, 2008, 9 (1) : 37-46. doi: 10.3934/dcdsb.2008.9.37
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