Complex projective synchronization in coupled chaotic complex dynamical systems

DOI10.1007/s11071-011-0303-0zbMath1253.93060OpenAlexW2069112124MaRDI QIDQ1928970

Xin-Chu Fu, Zhao-Yan Wu, Jin-qiao Duan

Publication date: 4 January 2013

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-011-0303-0

zbMATH Keywords

adaptive controlchaoticcomplex dynamical systemcomplex projective synchronization

Mathematics Subject Classification ID

Adaptive control/observation systems (93C40) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by ordinary differential equations (93C15) Synchronization of solutions to ordinary differential equations (34D06) Chaos control for problems involving ordinary differential equations (34H10)

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Cites Work

• Complete synchronization of chaotic complex nonlinear systems with uncertain parameters
• Secure communication based on chaotic synchronization via interval time-varying delay feedback control
• Complete (anti-)synchronization of chaotic systems with fully uncertain parameters by adaptive control
• Module-phase synchronization in complex dynamic system
• Adaptive hybrid projective synchronization of uncertain chaotic systems based on backstepping design
• Complete synchronization of Kuramoto oscillators with finite inertia
• Hyperchaotic secure communication via generalized function projective synchronization
• Generalized projective synchronization for a class of chaotic systems with parameter mismatching, unknown external excitation, and uncertain input nonlinearity
• Adaptive anti-synchronization of chaotic complex nonlinear systems with unknown parameters
• Modified projective synchronization of chaotic systems with disturbances via active sliding mode control
• Dynamical properties and chaos synchronization of a new chaotic complex nonlinear system
• Chaos synchronization of two different chaotic complex Chen and Lü systems
• Adaptive feedback controller for projective synchronization
• Hybrid projective synchronization in a chaotic complex nonlinear system
• Lag and anticipatory synchronization based parameter estimation scheme in modulated time-delayed systems
• The complex Lorenz equations
• Anti-synchronization of Liu system and Lorenz system with known or unknown parameters
• The synchronization of chaotic systems
• Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication
• On chaos synchronization of a complex two coupled dynamos system
• Function projective synchronization in coupled chaotic systems
• GLOBAL AND PARTIAL PHASE SYNCHRONIZATIONS IN ARRAYS OF PIECEWISE LINEAR TIME-DELAY SYSTEMS
• ACTIVE CONTROL AND GLOBAL SYNCHRONIZATION OF THE COMPLEX CHEN AND LÜ SYSTEMS
• Controlling chaos
• Pinning Complex Networks by a Single Controller
• The Complex Lorenz Model: Geometric Structure, Homoclinic Bifurcation and One-Dimensional Map
• Synchronization in chaotic systems
• Generalized projective synchronization in time-delayed systems: Nonlinear observer approach
• Projective synchronization of two coupled excitable spiral waves
• Generation of clusters in complex dynamical networks via pinning control