A nonlinear dynamics perspective of Wolfram's new kind of science. Part VIII: More Isles of Eden

International Journal of Bifurcation and Chaos

Volumn 17, Issue 11, 2007, Pages 3741-3894

  Chua, Leon O ^a   Karacs, Kristof ^b   Sbitnev, Valery I ^a   Guan, Junbiao ^c   Shin, Jinwook ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b PÁZMÁNY PÉTER CATHOLIC UNIVERSITY   (Hungary)

^c SHANGHAI UNIVERSITY   (China)

Author keywords

Attractors; Basin tree diagram; Bernoulli return time; Bernoulli shift; Bernoulli velocity; Binomial series; Cellular automata; Complex Bernoulli shifts; Hyper Bernoulli shifts; Isles of Eden; Nonlinear dynamics; Scale free phenomena; Shift maps

Indexed keywords

ASYMPTOTIC ANALYSIS; CELLULAR AUTOMATA; CONSTRAINT THEORY; GLOBAL OPTIMIZATION; NONLINEAR SYSTEMS; THEOREM PROVING;

ATTRACTORS; BASIN TREE DIAGRAM; BERNOULLI RETURN TIME; BERNOULLI SHIFTS; BERNOULLI VELOCITY; BINOMIAL SERIES; COMPLEX BERNOULLI SHIFTS; HYPER BERNOULLI SHIFTS; SCALE-FREE PHENOMENA;

DYNAMICAL SYSTEMS;

EID: 39449096416     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127407019901     Document Type: Article

References (6)

1. Chua, L. O., Sbitnev, V. I. Sc Yoon, S. [2003] "A non-linear dynamics perspective of Wolfram's new kind of science. Part II: Universal neuron," Int. J. Bifurcation and Chaos 13, 2377-2491.
2. Chua, L. O., Sbitnev, V. I. & Yoon, S. [2004] "A nonlinear dynamics perspective of Wolfram's new kind of science. Part III: Predicting the unpredictable," Int. J. Bifurcation and Chaos 14, 3689-3820.
3. Chua, L. O., Sbitnev, V. I. & Yoon, S. [2005a] "A nonlinear dynamics perspective of Wolfram's new kind of science. Part TV: From Bernoulli shift to 1/f spectrum," Int. J. Bifurcation and Chaos 15, 1045-1183.
4. Chua, L. O., Sbitnev, V. I. & Yoon, S. [2005b] "A non-linear dynamics perspective of Wolfram's new kind of science. Part V: Fractals everywhere," Int. J. Bifurcation and Chaos 15, 3701-3849.
5. Chua, L. O., Guan, J., Sbitnev, V. I. & Jinwook, S. [2007] "A nonlinear dynamics perspective of Wolfram's new kind of science. Part VII: Isles of Eden," Int. J. Bifurcation and Chaos 17, 2839-3012.
6. Wikipedia [website], http://en.wikipedia.org/wiki/De-Bruijn_graph.