A nonlinear dynamics perspective of wolfram's new kind of science. - Part III: Predicting the unpredictable

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 14, Issue 11, 2004, Pages 3689-3820

  Chua, Leon O ^a   Sbitnev, Valery I ^a   Yoon, Sook ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Cellular Automata; Cellular neural networks; Cellular nonlinear networks; CNN; Global equivalence classes; Group theoretic properties; Nonlinear dynamics; Symmetry; The Four group; Turing machine; Universal computation; Vierergruppe; Wolfram

Indexed keywords

BOOLEAN ALGEBRA; CELLULAR NEURAL NETWORKS; COMPUTATIONAL METHODS; DIFFERENCE EQUATIONS; FUNCTIONS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; TURING MACHINES; VECTORS;

CELLULAR AUTOMATA; CELLULAR LINEAR NETWORKS; CNN; GLOBAL EQUIVALENE CLASSES; GROUP-THEORETIC PROPERTIES; SYMMETRY; THE FOUR GROUP; UNIVERSAL COMPUTATION; VIERERGRUPPE;

AUTOMATA THEORY;

EID: 17044402518     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127404011764     Document Type: Article

References (8)

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4. Chua, L. O., Yoon, S. & Dogaru, R. [2002] "A nonlinear dynamics perspective of Wolfram's new kind of science. Part I: Threshold of complexity," Int. J. Bifurcation and Chaos 12, 2655-2766.
5. Chua, L. O., Sbitnev, V. I. & Yoon, S. [2003] "A nonlinear dynamics perspective of Wolfram's new kind of science. Part II: Universal neuron," Int. J. Bifurcation and Chaos 13, 2377-2491.
6. Hamermesh, M. [1962] Group Theory and its Applications to Physical Problems (Addison-Wesley, Reading, MA).
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8. Wolfram, S. [2002] A New Kind of Sciences (Wolfram Media, Inc., Champaign Illinois USA).