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A Gallery of Chua Attractors (World Scientific Series on Nonlinear Science, Series a) (World Scientific Series in Nonlinear Science, Series a)
 
 
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A Gallery of Chua Attractors (World Scientific Series on Nonlinear Science, Series a) (World Scientific Series in Nonlinear Science, Series a) [Hardcover]

Eleanora Bilotta (Author), Pietro Pantano (Author)

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Book Description

August 15, 2008 9812790624 978-9812790620 Har/Dvdr
Chaos is considered as one of the most important concepts in modern science. It originally appeared only in computer simulation (the famous Lorenz equation of 1963), but this changed with the introduction of Chua s oscillator (1986) -- a simple electronic circuit with the ability to generate a vast range of chaotic behaviors. With Chua s circuit, chaos became a physical phenomenon, readily understood and represented in mathematical language. Yet, even so, it is still difficult for the non-specialist to appreciate the full variety of behaviors that the system can produce.

This book aims to bridge the gap. A gallery of nearly 900 chaotic attractors -- some generated by Chua s physical circuit, the majority through computer simulation of the circuit and its generalizations -- are illustrated as 3D color images, time series and fast Fourier transform algorithms. For interested researchers, also presented is the information necessary to replicate the behaviors and images. Finally, how the fractal richness can be plied to artistic ends in generating music and interesting sounds is shown; some examples are included in the DVD-ROM which comes with the book.

Contents: Chua s Oscillator and Its Generations; The Physical Circuit; Dimensionless Equations; The Cubic Function; Single-Scroll Systems; Multiscrolls Systems.


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Inside This Book (learn more)
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
dimensionless equations, cellular neural networks, base attractors, chaos analyzer, glyph model, hyperchaotic systems, reference attractor, bifurcation maps, inertial ellipsoid, basic model change, universal circuit, physical circuit, dimensionless system, synchronized systems, multiple breakpoints, control parameter values, chaotic phenomena, same attractor, different attractors, eter space
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Gallery of Chua Attractors Table, Single-Scroll Systems, Multiscrolls Systems, Circuits Syst, The Physical Circuit, Chua Oscillator, The Cubic Equation, World Scientific, Chua's Oscillator, Principal Components Analysis, Fast Fourier Transform, Directional Light Color, Midwest Symp, Virtual Reality, Models of System, Step Count, Artificial Life, Single Scrolls
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Front Cover | Table of Contents | First Pages | Index | Surprise Me!
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