Global Dynamics Of Cellular Automata: An Atlas Of Basin Of Attraction Fields Of One-dimensional Cellular Automata (SANTA FE INSTITUTE STUDIES IN THE SCIENCES OF COMPLEXITY REFERENCE VOLUMES) - Hardcover

Wuensche, Andrew; Lesser, Mike

 
9780201557404: Global Dynamics Of Cellular Automata: An Atlas Of Basin Of Attraction Fields Of One-dimensional Cellular Automata (SANTA FE INSTITUTE STUDIES IN THE SCIENCES OF COMPLEXITY REFERENCE VOLUMES)

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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Synopsis

Subtitled, An atlas of basin of attraction fields of one-dimensional cellular automata. Contains work previously unpublished in scientific journals that may have profound significance in many areas of the sciences of complexity, introducing a powerful global perspective for the study of discrete dynamical systems. The atlas is intended, with accomp

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