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Global Dynamics Of Cellular Automata: An Atlas Of Basin Of Attraction Fields Of One-dimensional Cellular Automata - Hardcover

Wuensche, Andrew

 
9780201557404: Global Dynamics Of Cellular Automata: An Atlas Of Basin Of Attraction Fields Of One-dimensional Cellular Automata

Synopsis

The book introduces a powerful new global perspective for the study of discrete dynamical systems. After first looking at the unique trajectory of a system's future, an algorithm is also presented that directly computes the multiple merging trajectories that may have constituted the system's past. A given set of cellular parameters will, in a sense, crystallize state space into a set of basins of attraction that will typically have the topology of branching trees rooted on attractor cycles. The book makes accessible the explicit portraits of these mathematical objects through computer-generated graphics. (Book/disk package disk requires an 80286, or higher, IBM PC or compatible with 640K of memory, VGA graphics, and DOS 2.0 or higher.

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Review



-- scientific romance -- startling contributions -- problem deemed virtually insoluble attacked and nailed -- Wuensche's stunning DDLab program has grown out of this initial effort --
Stuart Kauffman, COMPLEXITY Vol.5, No. 6, July/Aug 2000.

-- major study -- lessons for social simulation -- tremendous graphical appeal -- new perspective on a dynamical system --
H. Van Dyke Parunak in JASSS, The Journal of Artificial Societies and Social Simulation, Vol.4, Issue 4, Oct 2001.

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