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World Scientific Publishing Company Nonlinear Dynamics Perspective Wolfram's Science - Volume IV

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Description

Volume IV of this advanced mathematical series continues the exploration of one-dimensional cellular automata, revealing groundbreaking quasi-ergodicity phenomena in complex group 5 and hyper group 6 Bernoulli rules. This comprehensive treatment presents analytical formulas that characterise the fractal properties of characteristic functions, alongside explicit formulas for generating isomorphic basin tree diagrams with pedagogical clarity. The work builds upon Volumes I, II and III by uncovering novel orbital dynamics and subtle symmetries within cellular automaton behaviour. Designed for researchers and mathematicians working in nonlinear dynamics and dynamical systems theory, this volume delivers rigorous mathematical foundations and visual representations essential for understanding complex computational systems. Part of the World Scientific Series on Nonlinear Science Series A, this text represents a significant contribution to contemporary mathematical research and cellular automata study.

Key Features

Volume IV examines one-dimensional cellular automata with focus on novel quasi-ergodicity phenomena in complex and hyper Bernoulli rules.

Includes analytical formulas characterising fractal properties of characteristic functions derived from cellular automaton dynamics.

Provides explicit formulas for generating isomorphic basin tree diagrams with pedagogically revealing colour representations.

Continues the progression from Volumes I, II and III with new results and rigorous mathematical proofs of cellular automata symmetries.

Part of World Scientific Series on Nonlinear Science Series A, offering advanced treatment of nonlinear dynamics research.

Addresses subtle symmetries and orbital meandering patterns among omega-limit orbits in complex dynamical systems.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
06 June 2011
Listed Since
20 April 2010

Barcode

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