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Fractal Control Theory

  • Book
  • © 2018

Overview

Authors:
  1. Shu-Tang Liu

    1. College of Control Science and Engineering, Shandong University, Jinan, China

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  2. Pei Wang

    1. College of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan, China

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    You can also search for this author in PubMed   Google Scholar

  • Addresses the control of fractal behavior of nonlinear dynamics, both in theory and practice
  • Provides comprehensive studies on control theory of fractal behavior
  • Presents the latest findings on the control of fractals in a variety of different systems

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Introduction

    • Shu-Tang Liu, Pei Wang
    Pages 1-8

  3. Fractal Control of Planar Complex Dynamical Systems

    • Shu-Tang Liu, Pei Wang
    Pages 9-41

  4. Synchronization of Julia Sets

    • Shu-Tang Liu, Pei Wang
    Pages 43-58

  5. Identification Control for Julia Sets

    • Shu-Tang Liu, Pei Wang
    Pages 59-95

  6. Fractal Surface and Control of Fractal Surface

    • Shu-Tang Liu, Pei Wang
    Pages 97-111

  7. Control and Synchronization of Spatial Julia Sets

    • Shu-Tang Liu, Pei Wang
    Pages 113-182

  8. Control of Julia Sets in Complex Henon Systems

    • Shu-Tang Liu, Pei Wang
    Pages 183-199

  9. Control of Rational Fractal Sets

    • Shu-Tang Liu, Pei Wang
    Pages 201-211

  10. Control and Application of Fractal Growth

    • Shu-Tang Liu, Pei Wang
    Pages 213-261

  11. Control on Julia Sets in Switching Complex System

    • Shu-Tang Liu, Pei Wang
    Pages 263-276

  12. Back Matter

    Pages 277-293
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Keywords

About this book

This book focuses on the control of fractal behaviors in nonlinear dynamics systems, addressing both the principles and purposes of control. For fractals in different systems, it presents revealing studies on the theory and applications of control, reflecting a spectrum of different control methods used with engineering technology. As such, it will benefit researchers, engineers, and graduate students in fields of fractals, chaos, engineering, etc.

Reviews

“It provides a comprehensive study on control theory of fractal behaviour by presenting the latest findings on the control of fractals in a variety of different systems. … if you wish to explore an emerging scientific field and you are looking for some innovative research achievements in fractal-based control, this book is for you.” (Vasileios Drakopoulo, Mathematical Reviews, February, 2022)

Authors and Affiliations

  • College of Control Science and Engineering, Shandong University, Jinan, China

    Shu-Tang Liu

  • College of Electrical Engineering and Automation, Qilu University of Technology (Shandong Academy of Sciences), Jinan, China

    Pei Wang

About the authors

Dr. Liu Shu-Tang is a professor of College of Control Science and Engineering, Shandong University. His research areas include Spatial chaotic theory of nonlinear dynamical systems and its application, Qualitative theory and qualitative control of complex system, Control and applications of fractals.


Dr. Wang Pei is a teacher of College of Electrical Engineering and Automation, Qilu University of Technology. Her research areas include Nonlinear dynamical systems, Control and applications of fractals.(For internal use only)

Bibliographic Information

  • Book Title: Fractal Control Theory

  • Authors: Shu-Tang Liu, Pei Wang

  • DOI: https://doi.org/10.1007/978-981-10-7050-1

  • Publisher: Springer Singapore

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Nature Singapore Pte Ltd. 2018

  • Hardcover ISBN: 978-981-10-7049-5Published: 04 May 2018

  • Softcover ISBN: 978-981-13-3909-7Published: 29 December 2018

  • eBook ISBN: 978-981-10-7050-1Published: 21 April 2018

  • Edition Number: 1

  • Number of Pages: XIV, 293

  • Number of Illustrations: 123 b/w illustrations, 68 illustrations in colour

  • Topics: Complexity, Control and Systems Theory, Applications of Nonlinear Dynamics and Chaos Theory

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