CHUA LEON O - Böcker
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5 produkter
5 produkter
Del 57 - World Scientific Series on Nonlinear Science Series A
Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (In 2 Volumes)
Inbunden, Engelska, 2007
4 886 kr
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This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. A surprisingly useful interpretations of cellular automata in terms of neural networks is also given. The book provides a scientifically sound and original analysis, and classifications of the empirical results presented in Wolfram's monumental ';New Kind of Science.';
Del 57 - World Scientific Series on Nonlinear Science Series A
Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume Ii)
Inbunden, Engelska, 2007
3 219 kr
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This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. A surprisingly useful interpretations of cellular automata in terms of neural networks is also given. The book provides a scientifically sound and original analysis, and classifications of the empirical results presented in Wolfram's monumental ';New Kind of Science.';
Del 57 - World Scientific Series on Nonlinear Science Series A
Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume I)
Inbunden, Engelska, 2007
2 216 kr
Tillfälligt slut
This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. A surprisingly useful interpretations of cellular automata in terms of neural networks is also given. The book provides a scientifically sound and original analysis, and classifications of the empirical results presented in Wolfram's monumental ';New Kind of Science.';
Del 68 - World Scientific Series on Nonlinear Science Series A
Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume Iii)
Inbunden, Engelska, 2009
1 746 kr
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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 στ-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.
Del 76 - World Scientific Series on Nonlinear Science Series A
Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume Iv)
Inbunden, Engelska, 2011
2 075 kr
Skickas inom 11-20 vardagar
Volume IV continues the author's odyssey on l-D cellular automata as chronicled in Volumes I, II and III, by uncovering a novel quasi-ergodicity phenomenon involving orbits meandering among omega-limit orbits of complex (group 5) and hyper (group 6) Bernoulli rules. This discovery is embellished with analytical formulas characterizing the fractal properties of characteristic functions, as well as explicit formulas for generating colorful and pedagogically revealing isomorphic basin tree diagrams. Many new results were derived and proved by uncovering subtle symmetries endowed by various subsets of the 256 Boolean cubes. For the first time, rigorous analyses were used to identify 67, out off 256, local rules whose asymptotic behaviors consist of robust period-l orbits. The highlight of this continuing odyssey is the discovery of an isolated period-3240 Isle of Eden hidden among the dense omega-limit orbits of Wolfram's remarkable “random number generating” rule 30. This is the largest gem known to-date and readers are challenged to uncover even larger ones.