A NONLINEAR DYNAMICS PERSPECTIVE OF WOLFRAM'S NEW KIND OF SCIENCE PART XIV: MORE BERNOULLI στ-SHIFT RULES

Autor:	Leon O. Chua, Giovanni Egidio Pazienza
Rok vydání:	2010
Předmět:	Pure mathematics Nonlinear system Bernoulli's principle Series (mathematics) Dynamical systems theory Applied Mathematics Modeling and Simulation Attractor Superstring theory Binary number Engineering (miscellaneous) Cellular automaton Mathematics
Zdroj:	International Journal of Bifurcation and Chaos. 20:2253-2425
ISSN:	1793-6551 0218-1274
DOI:	10.1142/s0218127410027155
Popis:	Over the past eight years, we have studied one of the simplest, yet extremely interesting, dynamical systems; namely, the one-dimensional binary Cellular Automata. The most remarkable results have been presented in a series of papers which is concluded by the present article. The final stop of our odyssey is devoted to the analysis of the second half of the 30 Bernoulli στ-shift rules, which constitute the largest among the six groups in which we classified the 256 local rules. For all these 15 rules, we present the basin-tree diagrams obtained by using each bit string with L ≤ 8 as initial state, a summary of the characteristics of their ω-limit orbits, and the space-time patterns generated from the superstring. Also, in the last section we summarize the main results we obtained by means of our "nonlinear dynamics perspective".
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::42a1fc39720c1252a38be6000eeba7ad https://doi.org/10.1142/s0218127410027155 Zobrazit plný text záznamu