Fractal control theory. (2018)

• Record Type: Book
• Further Information: Note: Shu-Tang Liu, Pei Wang.
• Authors: Liu, Shu-Tang; Wang, Pei
• Contents: 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. 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. 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. 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.
• Publisher Details: Singapore : Springer
• Publication Date: 2018
• Extent: 1 online resource (xiv, 293 pages), illustrations (some color)
• Subjects: 514/.742; Julia sets; Nonlinear control theory; Fractional differential equations; MATHEMATICS -- Topology; Fractional differential equations; Julia sets; Nonlinear control theory; Engineering; Complexity; Control; Applications of Nonlinear Dynamics and Chaos Theory; Electronic books
• Languages: English
• ISBNs: 9789811070501; 9811070504; 9811070490; 9789811070495
• Related ISBNs: 9789811070495
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed April 24, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.