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World Scientific Publishing Company Wolfram's New Kind of Science Vol IV - Nonlinear Dynamics

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Description

Continue your journey through the complex world of 1-D cellular automata with Volume IV of this specialized series. This installment expands on the research established in Volumes I, II, and III, focusing on the nonlinear dynamics perspective of Wolfram's New Kind of Science. This volume introduces a novel quasi-ergodicity phenomenon. It explores orbits that meander among omega-limit orbits of complex (group 5) and hyper (group 6) Bernoulli rules. Researchers and students will find deep insights through analytical formulas that characterize the fractal properties of characteristic functions. To aid in understanding, the text provides explicit formulas for generating isomorphic basin tree diagrams. These colorful diagrams serve as pedagogical tools to make complex concepts more accessible. By uncovering subtle symmetries within various subsets, this work provides new results and proofs that advance the study of nonlinear science and mathematical algebra.

Key Features

Explores novel quasi-ergodicity phenomena involving orbits among complex and hyper Bernoulli rules.

Provides analytical formulas to characterize the fractal properties of characteristic functions.

Includes explicit formulas for generating colorful and pedagogically revealing isomorphic basin tree diagrams.

Presents new results and proofs derived from uncovering subtle symmetries in various subsets.

Continues the deep research on 1-D cellular automata established in previous volumes.

Product Specifications

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

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