MATHEMATICAL EXAMPLES OF SPACE-TIME PHASES-Reference-Cited by-同舟云学术

MATHEMATICAL EXAMPLES OF SPACE-TIME PHASES

Published:2011-08 Issue:08 Volume:21 Page:2297-2304
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

DIAKONOVA M.¹,MACKAY R. S.¹

Affiliation:

1. Mathematics Institute and Centre for Complexity Science, University of Warwick, Coventry CV4 7AL, UK

Abstract

The space-time phases of a complex dynamic system are the probability distributions for state as a function of space and time which arise by evolving initial probability distributions from the distant past. Toom proved important results about space-time phases for a class of majority voter probabilistic cellular automata (PCA). Here, variants of the majority voter PCA are presented which are proved to exhibit a variety of types of space-time phase. These examples are expected to serve as useful steps on the way to a general theory of space-time phases.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127411029793

Reference19 articles.

1. Role of Irreversibility in Stabilizing Complex and Nonergodic Behavior in Locally Interacting Discrete Systems

2. Are Attractors Relevant to Turbulence?

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Management of complex dynamical systems;Nonlinearity;2018-01-02

2. Percolation Operators and Related Models;Emergence, Complexity and Computation;2018

3. Overview: PCA Models and Issues;Emergence, Complexity and Computation;2018

4. Elusive present: Hidden past and future dependency and why we build models;Physical Review E;2016-02-29

5. Phase Diagrams of Majority Voter Probabilistic Cellular Automata;Journal of Statistical Physics;2015-01-03