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  • Book
  • © 2006

Integration of Fuzzy Logic and Chaos Theory

Editors:

  1. Zhong Li

    1. FB Elektrotechnik, FernUniversität in Hagen, Hagen, Germany

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  2. Wolfgang A. Halang

    1. FB Elektrotechnik, FernUniversität in Hagen, Hagen, Germany

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    You can also search for this editor in PubMed   Google Scholar

  3. Guanrong Chen

    1. Department of Electronic Engineering, City University of Hong Kong, Kowloon, PR China

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Collection of recent results on Fuzzy logic and Chaos theory

Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 187)

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Table of contents (21 chapters)

  1. Front Matter

    Pages I-VIII
    PDF

  2. Beyond the Li-Yorke Definition of Chaos

    • Peter Kloeden, Zhong Li
    Pages 1-23

  3. Chaotic Dynamics with Fuzzy Systems

    • Domenico M. Porto
    Pages 25-44

  4. Fuzzy Modeling and Control of Chaotic Systems

    • Hua O. Wang, Kazuo Tanaka
    Pages 45-80

  6. Fuzzy Control of Chaos

    • Oscar Calvo
    Pages 99-125

  7. Chaos Control Using Fuzzy Controllers (Mamdani Model)

    • Ahmad M. Harb, Issam Al-Smadi
    Pages 127-155

  9. Anticontrol of Chaos for Takagi-Sugeno Fuzzy Systems

    • Zhong Li, Guanrong Chen, Wolfgang A. Halang
    Pages 185-227

  10. Chaotification of the Fuzzy Hyperbolic Model

    • Huaguang Zhang, Zhiliang Wang, Derong Liu
    Pages 229-257

  11. Fuzzy Chaos Synchronization via Sampled Driving Signals

    • Juan Gonzalo Barajas-Ramírez
    Pages 259-283

  12. Bifurcation Phenomena in Elementary Takagi-Sugeno Fuzzy Systems

    • Federico Cuesta, Enrique Ponce, Javier Aracil
    Pages 285-315

  13. Self-Reference, Chaos, and Fuzzy Logic

    • Patrick Grim
    Pages 317-359

  14. Chaotic Behavior in Recurrent Takagi-Sugeno Models

    • Alexander Sokolov, Michael Wagenknecht
    Pages 361-389

  16. Complex Fuzzy Systems and Their Collective Behavior

    • Maide Bucolo, Luigi Fortuna, Manuela La Rosa
    Pages 415-437

  18. Fuzzy-Chaos Hybrid Controllers for Nonlinear Dynamic Systems

    • Keigo Watanabe, Lanka Udawatta, Kiyotaka Izumi
    Pages 481-506

  19. Fuzzy Model Based Chaotic Cryptosystems

    • Chian-Song Chiu, Kuang-Yow Lian
    Pages 507-525

  20. Evolution of Complexity

    • Pavel Ošmera
    Pages 527-578
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About this book

The 1960s were perhaps a decade of confusion, when scientists faced d- culties in dealing with imprecise information and complex dynamics. A new set theory and then an in?nite-valued logic of Lot? A. Zadeh were so c- fusing that they were called fuzzy set theory and fuzzy logic; a deterministic system found by E. N. Lorenz to have random behaviours was so unusual that it was lately named a chaotic system. Just like irrational and imaginary numbers, negative energy, anti-matter, etc., fuzzy logic and chaos were gr- ually and eventually accepted by many, if not all, scientists and engineers as fundamental concepts, theories, as well as technologies. In particular, fuzzy systems technology has achieved its maturity with widespread applications in many industrial, commercial, and technical ?elds, ranging from control, automation, and arti?cial intelligence to image/signal processing,patternrecognition,andelectroniccommerce.Chaos,ontheother hand,wasconsideredoneofthethreemonumentaldiscoveriesofthetwentieth century together with the theory of relativity and quantum mechanics. As a very special nonlinear dynamical phenomenon, chaos has reached its current outstanding status from being merely a scienti?c curiosity in the mid-1960s to an applicable technology in the late 1990s. Finding the intrinsic relation between fuzzy logic and chaos theory is certainlyofsigni?cantinterestandofpotentialimportance.Thepast20years have indeed witnessed some serious explorations of the interactions between fuzzylogicandchaostheory,leadingtosuchresearchtopicsasfuzzymodeling of chaotic systems using Takagi–Sugeno models, linguistic descriptions of chaotic systems, fuzzy control of chaos, and a combination of fuzzy control technology and chaos theory for various engineering practices.
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Keywords

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Editors and Affiliations

  • FB Elektrotechnik, FernUniversität in Hagen, Hagen, Germany

    Zhong Li, Wolfgang A. Halang

  • Department of Electronic Engineering, City University of Hong Kong, Kowloon, PR China

    Guanrong Chen

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Bibliographic Information

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Access via your institution

Buy it now

eBook USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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