04455oam 2200553 450 991080773580332120190911112729.0981-4460-88-5(OCoLC)857066296(MiFhGG)GVRL8RDA(EXLCZ)99255000000110768320141128h20132013 uy 0engurun|---uuuuatxtccrA nonlinear dynamics perspective of Wolfram's new kind of scienceVolume VI /Leon O. Chua, University of California at Berkeley, USASingapore ;Hackensack, N.J. World Scientific2013New Jersey :World Scientific,[2013]�20131 online resource (x, 568 pages) illustrations (chiefly color)Nonlinear dynamics perspective of Wolfram's new kind of science ;v. 6World Scientific series on nonlinear science. Series A ;v. 85Description based upon print version of record.Includes bibliographical references and index.Dedication; Preface; CONTENTS; Volume VI; Chapter 1. Bernoulli στ -Shift Rules; 1. Introduction; 1.1. Brief notes on Bernoulli στ -shift rules; 2. Basin Tree Diagrams, Omega-Limit Orbits and Space-Time Patterns; 2.1. Basin tree diagrams and portraits of the ω-limit orbits; 2.2. Space-time patterns of Bernoulli rules using the super string as initial string; 3. Robust and Nonrobust ω-Limit Orbits of Rules from Group 4; 3.1. Robust ω-limit orbits of rules from Group 4; 3.2. Nonrobust ω-limit orbits of rules from Group 4; 4. Concluding Remarks; Chapter 2. More Bernoulli στ -Shift Rules1. Introduction2. Bernoulli στ -Shift Rules; 2.1. General aspects of the Bernoulli στ -shift rules; 2.2. Basin-tree diagrams and portraits of their ω-limit orbits; 2.3. Space-time patterns of Bernoulli rules using the superstring as initial state; 3. Robust and Nonrobust ω-Limit Orbits of Rules from Group 4; 3.1. Robust ω-limit orbits of rules from Group 4; 3.2. Non-robust ω-limit orbits of rules from Group 4; 3.3. Rules with multiple robust ω-limit orbits; 4. Summary of Elementary 1D Cellular Automata; 4.1. Boolean cubes, complexity index, and threshold of complexity4.2. Globally and quasi-globally equivalent rules4.3. Rotations and symmetries; 4.4. Classification of the local rules; 4.5. Fractality and quasi-ergodicity; 4.6. Isles of Eden and Omega-limit orbits; 5. Concluding Remarks; Chapter 3. Remembrance of Things Past; Vignettes from Volume I; Vignettes from Volume II; Vignettes from Volume III; Vignettes from Volume IV; Vignettes from Volume V; Vignettes from Volume VI; Vignettes of Metaphors from Biology, Cosmology, Physics, etc.; Vignettes of 256 Boolean Cubes; References; AppendicesAppendix I: Correspondence between Chapters from Edited Book and Papers from IJBC JournalAppendix II: Useful and Generic Tables and Figures; Appendix III: Pages where 16 Exquisite Elementary CA Rules are Cited, Discussed, or Characterized; Appendix IV: Contents of Volumes I-VI; IndexThis invaluable volume ends the quest to uncover the secret recipes for predicting the long-term evolution of a ring of identical elementary cells where the binary state of each cell during each generation of an attractor (i.e. after the transients had disappeared) is determined uniquely by the state of its left and right neighbors in the previous generation, as decreed by one of 256 truth tables. As befitting the contents aimed at school children, it was found pedagogically appealing to code each truth table by coloring each of the 8 vertices of a cubical graph in red (for binary state 1), orWorld Scientific series on nonlinear science.Series A,Monographs and treatises ;v. 85.Cellular automataComputational complexityDynamicsNonlinear theoriesCellular automata.Computational complexity.Dynamics.Nonlinear theories.511.3/5Chua Leon O.1936-459925MiFhGGMiFhGGBOOK9910807735803321A nonlinear dynamics perspective of Wolfram's new kind of science4017014UNINAFully cataloguedFULCAT