The Resource A nonlinear dynamics perspective of Wolfram's new kind of science, Volume V, Leon O. Chua, University of California at Berkeley, USA

A nonlinear dynamics perspective of Wolfram's new kind of science, Volume V, Leon O. Chua, University of California at Berkeley, USA

Label
A nonlinear dynamics perspective of Wolfram's new kind of science, Volume V
Title
A nonlinear dynamics perspective of Wolfram's new kind of science
Title number
Volume V
Statement of responsibility
Leon O. Chua, University of California at Berkeley, USA
Creator
Contributor
Subject
Genre
Language
  • eng
  • eng
Summary
This penultimate volume contains numerous original, elegant, and surprising results in 1-dimensional cellular automata. Perhaps the most exciting, if not shocking, new result is the discovery that only 82 local rules, out of 256, suffice to predict the time evolution of any of the remaining 174 local rules from an arbitrary initial bit-string configuration. This is contrary to the well-known folklore that 256 local rules are necessary, leading to the new concept of quasi-global equivalence . Another surprising result is the introduction of a simple, yet explicit, infinite bit string called the
Member of
Biography type
contains biographical information
Cataloging source
MiAaPQ
http://library.link/vocab/creatorDate
1936-
http://library.link/vocab/creatorName
Chua, Leon O.
Dewey number
511.35
Illustrations
  • illustrations
  • charts
Index
index present
Language note
English
LC call number
QA267.5.C45
LC item number
N66 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1936-
http://library.link/vocab/relatedWorkOrContributorName
Chua, Leon O.
Series statement
World Scientific series on nonlinear science. Series A, Monographs and treatises
Series volume
volume 80
http://library.link/vocab/subjectName
  • Wolfram, Stephen
  • Cellular automata
  • Computational complexity
  • Dynamics
  • Nonlinear theories
Label
A nonlinear dynamics perspective of Wolfram's new kind of science, Volume V, Leon O. Chua, University of California at Berkeley, USA
Instantiates
Publication
Copyright
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • Ode to 137; CONTENTS; Volume V; Chapter 1. Period-2 Rules; 1. Recap of Period-2 Rules; 2. Basin Tree Diagrams; 2.1. Notation and terminology; 2.2. Isomorphic basin trees and robustness coefficient ρ; 2.3. Time-2 characteristic functions and ω-limit orbits; 3. Robust ω-Limit Orbits of Local Rules Belonging to Group 2; 3.1. Definitions and preliminary considerations; 3.2. Remarks on the notation; 3.3. Beyond the empirical classification of period-2 rules; 4. Quasi Global-Equivalence; 4.1. Basin tree generation formulas; 4.2. Quasi globally-equivalent rules
  • 4.3. Implications of quasi global-equivalence5. Super String and Super Decimal x; 6. Concluding Remarks; Appendix A; Appendix B; Chapter 2. Period-3, Period-6, and Permutive Rules; 1. List of the 88 Minimal Equivalence Rules; 2. Basin Tree Diagrams, Omega-Limit Orbits and Time-τ Characteristic Function of Rules from Group 3; 2.1. Basin tree diagrams of rules from group 3; 2.2. Portraits of the ω-limit orbits from rules of group 3; 2.3. Time-τ characteristic function of rules from group 3; 3. Robust ω-Limit Orbits of Rules from Group 3; 3.1. Definitions and notation
  • 3.2. Rigorous results about the robust ω-limit orbits of rules 131 and 133Summary and Conclusion; Summary and Conclusion; 3.3. Dense and perfect ω-limit orbits, riddled basins of attraction; 4. Permutive Rules; 5. Concluding Remarks; Appendix A; Appendix B; Appendix C; Appendix D; References; Index
Dimensions
unknown
Extent
1 online resource (349 p.)
Form of item
online
Isbn
9789814390521
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)2550000001191450
  • (EBL)1611937
  • (SSID)ssj0000908088
  • (PQKBManifestationID)11470730
  • (PQKBTitleCode)TC0000908088
  • (PQKBWorkID)10898347
  • (PQKB)10594302
  • (MiAaPQ)EBC1611937
  • (WSP)00008403
  • (EXLCZ)992550000001191450
Label
A nonlinear dynamics perspective of Wolfram's new kind of science, Volume V, Leon O. Chua, University of California at Berkeley, USA
Publication
Copyright
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • Ode to 137; CONTENTS; Volume V; Chapter 1. Period-2 Rules; 1. Recap of Period-2 Rules; 2. Basin Tree Diagrams; 2.1. Notation and terminology; 2.2. Isomorphic basin trees and robustness coefficient ρ; 2.3. Time-2 characteristic functions and ω-limit orbits; 3. Robust ω-Limit Orbits of Local Rules Belonging to Group 2; 3.1. Definitions and preliminary considerations; 3.2. Remarks on the notation; 3.3. Beyond the empirical classification of period-2 rules; 4. Quasi Global-Equivalence; 4.1. Basin tree generation formulas; 4.2. Quasi globally-equivalent rules
  • 4.3. Implications of quasi global-equivalence5. Super String and Super Decimal x; 6. Concluding Remarks; Appendix A; Appendix B; Chapter 2. Period-3, Period-6, and Permutive Rules; 1. List of the 88 Minimal Equivalence Rules; 2. Basin Tree Diagrams, Omega-Limit Orbits and Time-τ Characteristic Function of Rules from Group 3; 2.1. Basin tree diagrams of rules from group 3; 2.2. Portraits of the ω-limit orbits from rules of group 3; 2.3. Time-τ characteristic function of rules from group 3; 3. Robust ω-Limit Orbits of Rules from Group 3; 3.1. Definitions and notation
  • 3.2. Rigorous results about the robust ω-limit orbits of rules 131 and 133Summary and Conclusion; Summary and Conclusion; 3.3. Dense and perfect ω-limit orbits, riddled basins of attraction; 4. Permutive Rules; 5. Concluding Remarks; Appendix A; Appendix B; Appendix C; Appendix D; References; Index
Dimensions
unknown
Extent
1 online resource (349 p.)
Form of item
online
Isbn
9789814390521
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)2550000001191450
  • (EBL)1611937
  • (SSID)ssj0000908088
  • (PQKBManifestationID)11470730
  • (PQKBTitleCode)TC0000908088
  • (PQKBWorkID)10898347
  • (PQKB)10594302
  • (MiAaPQ)EBC1611937
  • (WSP)00008403
  • (EXLCZ)992550000001191450

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