| Document Type
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BL
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| Record Number
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889086
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| Main Entry
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Liu, Shu-Tang
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| Title & Author
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Fractal control theory /\ Shu-Tang Liu, Pei Wang.
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| Publication Statement
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Singapore :: Springer,, 2018.
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| Page. NO
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1 online resource (xiv, 293 pages) :: illustrations (some color)
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| ISBN
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9789811070495
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: 9789811070501
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: 9811070490
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: 9811070504
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9789811070495
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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Intro; Preface; Contents; Abbreviations; Symbols; 1 Introduction; Chapter 2 Fractal Control of Planar ComplexDynamical Systems; 2.1 Feedback Control of Julia Sets; 2.1.1 Feedback Control of Julia Sets of Polynomial Map; 2.1.2 Product Feedback Control of Julia Sets of Exponential Map; 2.1.3 Feedback Control of Julia Sets of Continuous System; 2.2 Gradient Control of Julia Sets; 2.3 Expansion Control and Rotation Control of Julia Sets; 2.3.1 Wholly Magnifying or Minifying Control of Julia Sets; 2.3.2 Single-Axis Extension Control of Julia Sets; 2.3.3 Rotation Control of Julia Sets.
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2.3.4 Realizing the Control of Julia Sets in the General CaseChapter 3 Synchronization of Julia Sets; 3.1 Definitions About Synchronization and Generalized Synchronization of Julia Sets; 3.2 Nonlinear Coupled Synchronization of Julia Sets; 3.2.1 Synchronization of Julia Sets of Polynomial Systems; 3.2.2 Synchronization of Julia Sets of Trigonometric Functions; 3.3 Gradient Synchronization of Julia Sets; 3.4 Generalized Synchronization of Julia Sets; 3.4.1 Case of Linear Generalized Synchronization; 3.4.2 Case of Nonlinear Generalized Synchronization; 3.5 Coupling of Julia Sets.
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6.3.1 Synchronization of Julia Sets in Coupled Map Lattice Using Gradient Control6.3.2 Synchronization of Julia Sets in Coupled Map Lattice Using Optimal Control; 6.3.3 Coupling Synchronization of Julia Sets in Couples Map Lattice; 6.4 Control and Synchronization of Spatial Julia Sets for Complex Logistic System; 6.4.1 Spatial Julia Sets and Its Stable Domains; 6.4.2 Feedback Control of Spatial Julia Sets; 6.4.3 Linear Generalized Synchronization of Spatial Julia Sets; 6.4.4 Nonlinear Generalized Synchronization of Spatial Julia Sets; 6.5 Control of Spatial-Alternated Julia Sets.
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Chapter 4Identification Control for Julia Sets4.1 Identification Control for Generalized Julia Sets; 4.2 Identification Control for Basic Julia Sets; 4.3 Identification Control for Sine Function Julia Sets; 4.4 Identification Control for Generalized Julia Sets Based on Sliding Variable Method; 4.5 Identification Control for Basic Julia Sets Based on Sliding Variable Method; 4.6 Identification Control for Trigonometric Function ... ; Chapter 5 Fractal Surface and Control of FractalSurface; 5.1 Basic Theories of Fractal Surface; 5.2 Overall Compression Control of Fractal Surface.
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| Abstract
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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.
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| Subject
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Fractional differential equations.
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Julia sets.
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Nonlinear control theory.
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Fractional differential equations.
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Julia sets.
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MATHEMATICS-- Topology.
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Nonlinear control theory.
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Engineering.
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Applications of Nonlinear Dynamics and Chaos Theory.
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Complexity.
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Control.
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| Dewey Classification
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514/.742
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| LC Classification
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QA614.86.L58 2018
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| Added Entry
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Wang, Pei
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