Characterization of the Evolution of Nonlinear Uniform Cellular Automata in the Light of Deviant States
Joint Authors
Sahoo, Sudhakar
Chakraborty, Mithun
Pal Choudhury, Pabitra
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-05-05
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Dynamics of a nonlinear cellular automaton (CA) is, in general asymmetric, irregular, and unpredictable as opposed to that of a linear CA, which is highly systematic and tractable, primarily due to the presence of a matrix handle.
In this paper, we present a novel technique of studying the properties of the State Transition Diagram of a nonlinear uniform one-dimensional cellular automaton in terms of its deviation from a suggested linear model.
We have considered mainly elementary cellular automata with neighborhood of size three, and, in order to facilitate our analysis, we have classified the Boolean functions of three variables on the basis of number and position(s) of bit mismatch with linear rules.
The concept of deviant and nondeviant states is introduced, and hence an algorithm is proposed for deducing the State Transition Diagram of a nonlinear CA rule from that of its nearest linear rule.
A parameter called the proportion of deviant states is introduced, and its dependence on the length of the CA is studied for a particular class of nonlinear rules.
American Psychological Association (APA)
Pal Choudhury, Pabitra& Sahoo, Sudhakar& Chakraborty, Mithun. 2011. Characterization of the Evolution of Nonlinear Uniform Cellular Automata in the Light of Deviant States. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-484453
Modern Language Association (MLA)
Pal Choudhury, Pabitra…[et al.]. Characterization of the Evolution of Nonlinear Uniform Cellular Automata in the Light of Deviant States. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-484453
American Medical Association (AMA)
Pal Choudhury, Pabitra& Sahoo, Sudhakar& Chakraborty, Mithun. Characterization of the Evolution of Nonlinear Uniform Cellular Automata in the Light of Deviant States. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-484453
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484453