LEADER 04791nam 2200685 450 001 9910452274403321 005 20211020145149.0 010 $a981-4460-88-5 035 $a(CKB)2550000001107683 035 $a(EBL)1336550 035 $a(OCoLC)855505004 035 $a(SSID)ssj0001164779 035 $a(PQKBManifestationID)11644675 035 $a(PQKBTitleCode)TC0001164779 035 $a(PQKBWorkID)11183016 035 $a(PQKB)11757328 035 $a(MiAaPQ)EBC1336550 035 $a(WSP)00008764 035 $a(Au-PeEL)EBL1336550 035 $a(CaPaEBR)ebr10742814 035 $a(CaONFJC)MIL508342 035 $a(EXLCZ)992550000001107683 100 $a20130816d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 12$aA nonlinear dynamics perspective of Wolfram's new kind of science$b[electronic resource] $hVolume VI /$fLeon O. Chua 210 $aSingapore ;$aHackensack, N.J. $cWorld Scientific$d2013 215 $a1 online resource (579 pages) 225 1 $aNonlinear dynamics perspective of Wolfram's new kind of science ;$vv. 6 225 1 $aWorld Scientific series on nonlinear science. Series A ;$vv. 85 300 $aDescription based upon print version of record. 320 $aIncludes bibliographical references and index. 327 $aDedication; Preface; CONTENTS; Volume VI; Chapter 1. Bernoulli ?? -Shift Rules; 1. Introduction; 1.1. Brief notes on Bernoulli ?? -shift rules; 2. Basin Tree Diagrams, Omega-Limit Orbits and Space-Time Patterns; 2.1. Basin tree diagrams and portraits of the ?-limit orbits; 2.2. Space-time patterns of Bernoulli rules using the super string as initial string; 3. Robust and Nonrobust ?-Limit Orbits of Rules from Group 4; 3.1. Robust ?-limit orbits of rules from Group 4; 3.2. Nonrobust ?-limit orbits of rules from Group 4; 4. Concluding Remarks; Chapter 2. More Bernoulli ?? -Shift Rules 327 $a1. Introduction2. Bernoulli ?? -Shift Rules; 2.1. General aspects of the Bernoulli ?? -shift rules; 2.2. Basin-tree diagrams and portraits of their ?-limit orbits; 2.3. Space-time patterns of Bernoulli rules using the superstring as initial state; 3. Robust and Nonrobust ?-Limit Orbits of Rules from Group 4; 3.1. Robust ?-limit orbits of rules from Group 4; 3.2. Non-robust ?-limit orbits of rules from Group 4; 3.3. Rules with multiple robust ?-limit orbits; 4. Summary of Elementary 1D Cellular Automata; 4.1. Boolean cubes, complexity index, and threshold of complexity 327 $a4.2. 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; Appendices 327 $aAppendix 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; Index 330 $aThis invaluable volume ends the quest to uncover the secret recipes for predicting the long-term evolution of a ring of identical elementary cells where the binary state of each cell during each generation of an attractor (i.e. after the transients had disappeared) is determined uniquely by the state of its left and right neighbors in the previous generation, as decreed by one of 256 truth tables. As befitting the contents aimed at school children, it was found pedagogically appealing to code each truth table by coloring each of the 8 vertices of a cubical graph in red (for binary state 1), or 410 0$aWorld Scientific series on nonlinear science.$nSeries A,$pMonographs and treatises ;$vv. 85. 606 $aCellular automata 606 $aComputational complexity 606 $aDynamics 606 $aNonlinear theories 606 $aElectronic books 615 0$aCellular automata. 615 0$aComputational complexity. 615 0$aDynamics. 615 0$aNonlinear theories. 615 0$aElectronic books. 676 $a511.3/5 700 $aChua$b Leon O.$f1936-$0459925 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910452274403321 996 $aA nonlinear dynamics perspective of Wolfram's new kind of science$91899476 997 $aUNINA 999 $bFully catalogued$aFULCAT