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A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science (World Scientific Series on Nonlinear Science, Series A Monographs and Treatises, Band 68) - Hardcover

Chua, Leon O.

 
9789812837936: A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science (World Scientific Series on Nonlinear Science, Series A Monographs and Treatises, Band 68)
Hardcover
ISBN 10: 9812837930 ISBN 13: 9789812837936
Verlag: World Scientific Publishing Co Pte Ltd, 2009

Inhaltsangabe

Volume III continues the author's quest for developing a pedagogical, self-contained, yet rigorous analytical theory of 1-D cellular automata via a nonlinear dynamics perspective. Using carefully conceived and illuminating color graphics, the global dynamical behaviors of the 50 (out of 256) local rules that have not yet been covered in Volumes I and II are exposed via their stunningly revealing basin tree diagrams. The Bernoulli ??-shift dynamics discovered in Volume II is generalized to hold for all 50 (or 18 globally equivalent) local rules via complex and hyper Bernoulli wave dynamics. Explicit global state transition formulas derived for rules 60, 90, 105, and 150 reveal a new scale-free phenomenon. The most surprising new result unveiled in this volume is the Isle of Eden found hidden in most (almost 90%) of the 256 local rules. Readers are challenged to hunt for long-period, isolated Isles of Eden. These are rare gems waiting to be discovered.

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Volume III continues the author's quest for developing a pedagogical, self-contained, yet rigorous analytical theory of 1-D cellular automata via a nonlinear dynamics perspective. Using carefully conceived and illuminating color graphics, the global dynamical behaviors of the 50 (out of 256) local rules that have not yet been covered in Volumes I and II are exposed via their stunningly revealing basin tree diagrams. The Bernoulli -shift dynamics discovered in Volume II is generalized to hold for all 50 (or 18 globally equivalent) local rules via complex and hyper Bernoulli wave dynamics. Explicit global state transition formulas derived for rules 60, 90, 105, and 150 reveal a new scale-free phenomenon. The most surprising new result unveiled in this volume is the "Isle of Eden" found hidden in most (almost 90%) of the 256 local rules. Readers are challenged to hunt for long-period, isolated Isles of Eden. These are rare gems waiting to be discovered.

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Verlag
World Scientific Publishing Co Pte Ltd
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
9812837930
ISBN 13 
9789812837936
Einband
Gebundene Ausgabe
Anzahl der Seiten
340
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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