Last edited by Tygoshicage
Saturday, May 9, 2020 | History

2 edition of Chaotic maps found in the catalog.

Chaotic maps

dynamics, fractals, and rapid fluctuations

by Goong Chen

  • 63 Want to read
  • 37 Currently reading

Published by Morgan & Claypool in San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA) .
Written in English

    Subjects:
  • Chaotic behavior in systems,
  • Mappings (Mathematics),
  • Mathematics

  • About the Edition

    This book consists of lecture notes for a semester-long introductory graduate course on dynamical systems and chaos taught by the authors at Texas A&M University and Zhongshan University, China. There are ten chapters in the main body of the book, covering an elementary theory of chaotic maps in finite-dimensional spaces. The topics include one-dimensional dynamical systems (interval maps), bifurcations, general topological, symbolic dynamical systems, fractals and a class of infinite-dimensional dynamical systems which are induced by interval maps, plus rapid fluctuations of chaotic maps as a new viewpoint developed by the authors in recent years.Two appendices are also provided in order to ease the transitions for the readership from discrete-time dynamical systems to continuous-time dynamical systems, governed by ordinary and partial differential equations.

    Edition Notes

    Other titlesSynthesis digital library of engineering and computer science.
    StatementGoong Chen and Yu Huang
    SeriesSynthesis lectures on mathematics and statistics -- # 11
    ContributionsHuang, Yu, 1963-
    Classifications
    LC ClassificationsQ172.5.C45 C443 2011
    The Physical Object
    Format[electronic resource] :
    ID Numbers
    Open LibraryOL25563566M
    ISBN 109781598299151, 9781598299144

    New Discrete Time 2D Chaotic Maps: /IJSDA Chaotic behavior is a term that is attributed to dynamical systems whose solutions are highly sensitive to Cited by: 8. I am very pleased and privileged to write a short foreword for the monograph of Dean Driebe: Fully Chaotic Maps and Broken Time Symmetry. Despite the technical title this book deals with a problem of fundamental importance.

    Secure Digital Data Communication Based on Fractional-Order Chaotic Maps: /ch The aim of the chapter is twofold. First, a literature review on synchronization methods of fractional-order discrete-time systems is exposed. Second, aCited by: 1. I am very pleased and privileged to write a short foreword for the monograph of Dean Driebe: Fully Chaotic Maps and Broken Time Symmetry. Despite the technical title this book deals with a problem of fundamental importance. To appreciate its meaning we have to go back to the tragic struggle that.

    properties of chaotic systems are the sensitivity to initial conditions and Mixing Property. In this paper, 1 D [15] chaotic map is used to produce the chaotic sequence and used to control the encryption process. The chaos streams are generated by using various chaotic maps. Among the. the expectation and covariance of an observable quantity in a chaotic flow, you do not need this book. If you don’t understand, don’t despair. Backtrack to where you have a sure footing, work through their derivation. None of us were born understanding quantum field theory, either, a .


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Chaotic maps by Goong Chen Download PDF EPUB FB2

Rows  In mathematics, a chaotic map is a map (= evolution function) that exhibits some sort of chaotic may be parameterized by a discrete-time or a continuous-time parameter. Discrete maps usually take the form of iterated c maps often occur in the study of dynamical systems. Chaotic maps often generate gh a fractal may be constructed by Chaos systems: Bouncing ball dynamics, Chua's circuit.

The 1-dimensional discrete chaotic maps do not look as amazing as, say, Lorenz system, but I am not skilled enough in math and computer aided calculus to make any reasonable explorations of continuous systems yet, so the discrete domain is my jail for now.

out of 5 stars A Masterful Introduction to the Subject of Chaotic Maps Reviewed in the United States on March 9, Dr. Driebe's book, which grew out of his work at the Ilya Prigogine Center for Studies in Statistical Mechanics, is an excellent overview of the theory of irreversible systems in by: Chaos theory is a branch of mathematics focusing on the study of chaos—states of dynamical systems whose apparently-random states of disorder and irregularities are often governed by deterministic laws that are highly sensitive to initial conditions.

Chaos theory is an interdisciplinary theory stating that, within the apparent randomness of chaotic complex systems, there are Chaotic maps book. This book consists of lecture notes for a semester-long introductory graduate course on dynamical systems and chaos taught by the authors at Texas A&M University and Zhongshan University, China.

There are ten chapters in the main body of the book, covering an elementary theory of chaotic maps in finite-dimensional by: 5. The Chaotic Maps Octo Gratitude to Thee Psychedelicatessen for this very cool review: "Hailing from Helsinki, The Chaotic Maps (AKA Finnish Psych-Head Mikko Antero Kapanen and friends) seek inner paths to outer space and if slightly deranged, acid drenched psychedelia is your bag then you really need to look no further than their Followers: This is the first book providing an introduction to a new approach to the nonequilibrium statistical mechanics of chaotic systems.

It shows how the dynamical problem in fully chaotic maps may be solved on the level of evolving probability densities.

On this level. The book itself deals only with fully chaotic maps, where complete, exact spectral decompositions have been obtained. The research seeks to demonstrate that irreversibility is an intrinsic property of unstable dynamical systems, and that dynamical instability is the root of irreversibility.

Annotation c. Book News, Inc., Portland, OR (). In this paper, we present a novel approach to create the new chaotic map and propose an improved image encryption scheme based on it. Compared with traditional classic one-dimensional chaotic maps like Logistic Map and Tent Map, this newly created chaotic map demonstrates many better chaotic properties for encryption, implied by a much larger maximal Lyapunov by: • The book: Mira C., Gardini L., Barugola A.

& Cathala J.C. [] "Chaotic Dynamics in two-dimensional noninvertible maps" (World Scientific, "Series A on Nonlinear Sciences", vol, pages. Find many great new & used options and get the best deals for Image Encryption Scheme Based on Chaotic Maps by Su Su Maung (, Paperback) at the best online prices at.

Chaos theory has applications in several disciplines and is focusing on the behavior of dynamical systems that are highly sensitive to initial conditions. Chaotic dynamics are the impromptu behavior displayed by some nonlinear dynamical frameworks and have been used as a source of diffusion in cybersecurity for more than two decades.

With the addition of chaos, the overall strength of Cited by: 2. Note: If you're looking for a free download links of Fully Chaotic Maps and Broken Time Symmetry (Nonlinear Phenomena and Complex Systems) Pdf, epub, docx and torrent then this site is not for you.

only do ebook promotions online and we does not. Request PDF | Chaotic Maps: Dynamics, Fractals, and Rapid Fluctuations | This book consists of lecture notes for a semester-long introductory graduate course on dynamical systems and chaos taught.

This book discusses recent research on multimedia security using chaotic maps, presents principles and methodologies, and serves as a valuable reference for both postgraduate and senior undergraduate students who are studying multimedia, multimedia security, and information security. In the proposed scheme, a certain number of users are grouped together that collaborate by sharing orthogonal chaotic-spreading sequences generated by 1D chaotic map.

For example, using chaotic sequences of len the proposed scheme supports full-rate users compared to 90 and 30 users supported by collaborative CDMA and the. Experience a childs view of the world in this extraordinarily imaginative picture book about maps "An imaginative, child-centered title that should be examined and enjoyed, and one that will also make a wonderful springboard for teachers introducing the concepts of mapping or autobiography," said School Library Journal.

In each spread of this bold and humorous picture book,4/5. Get this from a library. Chaotic maps: dynamics, fractals, and rapid fluctuations. [Goong Chen; Yu Huang] -- This book consists of lecture notes for a semester-long introductory graduate course on dynamical systems and chaos taught by the authors at Texas A & M University and Zhongshan University, China.

The model represents the interactions of inhibitory and excitatory parts of brain actions. It contained different dynamics such as periodic and chaotic attractors.

In this chapter, we investigate two chaotic maps. Different dynamical properties of these two maps are studied. The first map is discussed in Section 2. It is a modified method for Author: Ezzedine Mliki, Navid Hasanzadeh, Fahimeh Nazarimehr, Akif Akgul, Olfa Boubaker, Sajad Jafari.

Chaotic Maps. Contents. Deterministic Chaos; 1D maps Sawtooth map; Tent map dynamics; Strange Cantor repeller; Quadratic maps Bifurcation diagram for quadratic maps Windows of regular dynamics scaling Chaotic quadratic maps Transition to chaos through period doublings Transition to chaos through intermittency Cantor-like sets and chaotic transient.

In my book, a chaotic map is a difference equation (or recurrence relation, if you prefer) describing a discrete dynamical system which happens to be chaotic. The word map is usually attached in this context to discrete systems and difference equa.

Jeffrey has a fancy tie because he just came back from a reception where he received the Love Cup, the highest prize for a graduating Georgia Tech senior. The finest resolution that can be.Recent Advances in Chaotic Systems and Synchronization: From Theory to Real World Applications is a major reference for scientists and engineers interested in applying new computational and mathematical tools for solving complex problems related to modeling, analyzing and synchronizing chaotic systems.

Furthermore, it offers an array of new.