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» » Star Products in One-Dimensional Symbolic Dynamics
Star Products in One-Dimensional Symbolic Dynamics e-book

Author:

Shou-Li Peng,Ke-Fei Cao

Language:

English

Category:

Transport

Subcategory:

Engineering

ePub size:

1823 kb

Other formats:

mbr txt lit azw

Rating:

4.3

Publisher:

World Scientific Publishing Company; 1st edition (May 31, 2019)

Pages:

300

ISBN:

9810246730

Star Products in One-Dimensional Symbolic Dynamics e-book

by Shou-Li Peng,Ke-Fei Cao


Ke-Fei Cao. In one-dimensional chaotic dynamics, a global multifractal relation between . Star products in symbolic dynamics of 1D quadri-modal maps are presented, the complexity of substitution rules is discussed besides their inherent cyclic and dual properties.

Ke-Fei Cao. In one-dimensional chaotic dynamics, a global multifractal relation between topological entropies and fractal dimensions of arbitrary period-p-tupling attractors is analyzed on all critical (accumulation) points of transitions to chaos, where the Lyapunov characteristic exponent is zero. The global metric regularity of topological entropies versus fractal dimensions is well characterized by the self-similarity.

Items related to Star Products in One-Dimensional Symbolic Dynamics. For one-dimensional iterative systems, star products in symbolic dynamics are basic tools for obtaining universalities through renormalization

Items related to Star Products in One-Dimensional Symbolic Dynamics. Shou-Li Peng; Ke-Fei Cao Star Products in One-Dimensional Symbolic Dynamics. For one-dimensional iterative systems, star products in symbolic dynamics are basic tools for obtaining universalities through renormalization. This book is a systematic and complete elaboration of star products in one-dimensional multimodal maps, explaining their algebraic and geometric meanings, establishing symbolic dynamics of equal topological entropy classes, and extracting the universality, global regularities and thermodynamics formalism of the dynamical quantities of systems.

Shou-Li Peng, Ke-Fei Ca. Are you sure you want to remove Star Products in One-Dimensional Symbolic Dynamics from your list?

Shou-Li Peng, Ke-Fei Cao. Star Products in One-Dimensional Symbolic Dynamics. Are you sure you want to remove Star Products in One-Dimensional Symbolic Dynamics from your list? Star Products in One-Dimensional Symbolic Dynamics. by Shou-Li Peng, Ke-Fei Cao. Published September 15, 2002 by World Scientific Publishing Company.

Dual star products and metric universality in symbolic dynamics of three .

Dual star products and metric universality in symbolic dynamics of three letters. Shou-Li Peng, Xu-Sheng Zhang, Ke-Fei Cao. 1998. Abstract An important composition rule established by the dual star products { ∗, ∗ } for the doubly superstable kneading sequences has been presented in the topological space Σ 3 of three letter. More). In one-dimensional chaotic dynamics, a global multifractal relation between topological entropies and fractal dimensions of arbitrary period-p-tupling attractors is analyzed on all critica.

oceedings{Peng1998DUALSP, title {DUAL STAR PRODUCTS AND METRIC .

oceedings{Peng1998DUALSP, title {DUAL STAR PRODUCTS AND METRIC UNIVERSALITY IN SYMBOLIC DYNAMICS OF THREE LETTERS}, author {Shou-Li Peng and Xu-Sheng Zhang and Ke-Fei Cao}, year {1998} }. Abstract An important composition rule established by the dual star products { ∗, ∗ } for the doubly superstable kneading sequences has been presented in the topological space Σ 3 of three letters for two-parameter families of bimodal maps of the interval.

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Star Products in One-Dimensional Symbolic Dynamics. Whole Foods Market America’s Healthiest Grocery Store. Release Date: May 31, 2019. Best Sellers in CHAOS THEORY. Most Wished For in CHAOS THEORY. Gift Ideas in CHAOS THEORY. Withoutabox Submit to Film Festivals. Woot! Deals and Shenanigans. Zappos Shoes & Clothing. com Shop Online in the Middle East.

Shou-Li Peng and Ke-Fei Cao, Star Products in One-Dimensional Symbolic Dynamics. Marcus Pivato, "Cellular Automata vs. Quasistrumian Shifts", Ergodic Theory and Dynamical Systems forthcoming (2005) math.

Symbolic Dynamics: One-sided, Two-sided and Countable State Markov Shifts (Universitext) by Bruce P. Kitchens .

I was introduced to symbolic dynamics through a preliminary study of chaotic dynamical systems, and to satisfy my interest in the subject, took an independent study course on what I lovingly refer to as "Symba" as an undergraduate, using this textbook. Doug Lind and Brian Marcus have done a fantastic job at introducing and motivating the subject, and have placed some very well thought-out exercises after each section.

Ke-Fei Cao, Chuan Zhang, Shou-Li Peng Center for Nonlinear Complex Systems Department of Physics Yunnan University Kunming, Yunnan 650091 China e-mail: (. F. Topological Quantum Groups, Star Products and their relations. Topological Entropy, Entropy points and shadowing. Torus Knots and the Topological Vertex.

Universality in chaotic systems is one of the fascinating achievements of nonlinear science. For one-dimensional iterative systems, star products in symbolic dynamics are basic tools for obtaining universalities through renormalization. This book is a systematic and complete elaboration of star products in one-dimensional multimodal maps, explaining their algebraic and geometric meanings, establishing symbolic dynamics of equal topological entropy classes, and extracting the universality, global regularities and thermodynamics formalism of the dynamical quantities of systems. The book displays the strength and efficiency of the method of one-dimensional symbolic dynamics equipped with star products.

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