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Table of Contents
Preface; Contents; 1 Introduction; 1.1 Self-Excited Attractors; 1.2 Hidden Oscillations; 1.3 Localization of Hidden Attractors; 1.4 Control and Synchronization; 1.5 Hidden Oscillations in Applied Models; 1.5.1 Phase-Locked Loop Circuits; 1.5.2 Automatic Control Systems; 1.5.3 Chua's Circuit Oscillator; 1.5.4 Electromechanical Systems; 1.6 Families of Systems with Hidden Attractors; 1.6.1 Systems Without Equilibrium; 1.6.2 Systems with Stable Equilibrium; 1.6.3 Systems with an Infinite Number of Equilibria; References; 2 Systems with Stable Equilibria
2.1 Wang
Chen System with Only One Stable Equilibrium2.2 Simple Flows with One Stable Equilibrium; 2.3 Systems with Stable Equilibrium Points; 2.4 Constructing a System with One Stable Equilibrium; 2.5 Double-Scroll Attractors in Systems with Stable Equilibria; 2.6 Fractional-Order Form of a System with Stable Equilibrium; References; 3 Systems with an Infinite Number of Equilibrium Points; 3.1 Simple Systems with Line Equilibrium; 3.2 Systems with Closed Curve Equilibrium; 3.3 Systems with Open Curve Equilibrium; 3.4 Constructing a System with Infinite Equilibria
3.5 Multi-scroll Attractors in a System with Infinite Equilibria3.6 Fractional-Order Form of Systems with Infinite Equilibria; References; 4 Systems Without Equilibrium; 4.1 Sprott A (Nose
Hoover) System; 4.2 Wei System Without Equilibrium; 4.3 Simple Systems with No Equilibrium; 4.4 Constructing a System with No Equilibrium; 4.5 Multi-scroll and Multi-wing Attractors in Systems Without Equilibrium; 4.6 Fractional-Order Form of Systems Without Equilibrium; References; 5 Synchronization of Systems with Hidden Attractors; 5.1 Synchronization via Diffusion Coupling
5.1.1 Diffusion Coupling of Two Systems with One Stable Equilibrium5.1.2 Diffusion Coupling of Two Systems with Infinite Equilibria; 5.1.3 Diffusion Coupling of Two Systems Without Equilibrium; 5.2 Synchronization via Nonlinear Control; 5.2.1 Synchronization of Systems with One Stable Equilibrium; 5.2.2 Synchronization of Systems with Infinite Equilibrium; 5.2.3 Synchronization of Systems Without Equilibrium; References; 6 Circuitry Realization; 6.1 Basic Electronic Components and Electronic Circuits; 6.2 Circuit Implementation of a System with One Stable Equilibrium
6.3 Circuit Implementations of Systems with Infinite Equilibria6.3.1 Circuit Implementation of a System with Line Equilibrium; 6.3.2 Circuit Implementation of a System with Closed Curve Equilibrium ; 6.3.3 Circuit Implementation of a System with Open Curve Equilibrium; 6.4 Circuit Implementation of a System Without Equilibrium; 6.5 Circuit Implementation of a System with Different Families of Hidden Attractors ; References; 7 Concluding Remarks; References; Index
2.1 Wang
Chen System with Only One Stable Equilibrium2.2 Simple Flows with One Stable Equilibrium; 2.3 Systems with Stable Equilibrium Points; 2.4 Constructing a System with One Stable Equilibrium; 2.5 Double-Scroll Attractors in Systems with Stable Equilibria; 2.6 Fractional-Order Form of a System with Stable Equilibrium; References; 3 Systems with an Infinite Number of Equilibrium Points; 3.1 Simple Systems with Line Equilibrium; 3.2 Systems with Closed Curve Equilibrium; 3.3 Systems with Open Curve Equilibrium; 3.4 Constructing a System with Infinite Equilibria
3.5 Multi-scroll Attractors in a System with Infinite Equilibria3.6 Fractional-Order Form of Systems with Infinite Equilibria; References; 4 Systems Without Equilibrium; 4.1 Sprott A (Nose
Hoover) System; 4.2 Wei System Without Equilibrium; 4.3 Simple Systems with No Equilibrium; 4.4 Constructing a System with No Equilibrium; 4.5 Multi-scroll and Multi-wing Attractors in Systems Without Equilibrium; 4.6 Fractional-Order Form of Systems Without Equilibrium; References; 5 Synchronization of Systems with Hidden Attractors; 5.1 Synchronization via Diffusion Coupling
5.1.1 Diffusion Coupling of Two Systems with One Stable Equilibrium5.1.2 Diffusion Coupling of Two Systems with Infinite Equilibria; 5.1.3 Diffusion Coupling of Two Systems Without Equilibrium; 5.2 Synchronization via Nonlinear Control; 5.2.1 Synchronization of Systems with One Stable Equilibrium; 5.2.2 Synchronization of Systems with Infinite Equilibrium; 5.2.3 Synchronization of Systems Without Equilibrium; References; 6 Circuitry Realization; 6.1 Basic Electronic Components and Electronic Circuits; 6.2 Circuit Implementation of a System with One Stable Equilibrium
6.3 Circuit Implementations of Systems with Infinite Equilibria6.3.1 Circuit Implementation of a System with Line Equilibrium; 6.3.2 Circuit Implementation of a System with Closed Curve Equilibrium ; 6.3.3 Circuit Implementation of a System with Open Curve Equilibrium; 6.4 Circuit Implementation of a System Without Equilibrium; 6.5 Circuit Implementation of a System with Different Families of Hidden Attractors ; References; 7 Concluding Remarks; References; Index