Generalized synchronization of chaotic systems by pure error dynamics and elaborate Lyapunov function

DOI10.1016/j.na.2009.04.020zbMath1189.34092OpenAlexW2043081092MaRDI QIDQ732561

Ching-Ming Chang, Zheng-Ming Ge

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.04.020

zbMATH Keywords

chaosLyapunov functiongeneralized synchronizationLyapunov direct methoddouble Mathieu system

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Complex behavior and chaotic systems of ordinary differential equations (34C28) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (6)

Adaptive generalized function projective lag synchronization of different chaotic systems with fully uncertain parameters ⋮ Hyperchaotic secure communication via generalized function projective synchronization ⋮ Adaptive finite-time projective synchronization of complex networks with nonidentical nodes and quantized time-varying delayed coupling ⋮ Generalized projective lag synchronization between different hyperchaotic systems with uncertain parameters ⋮ Isochronal function projective synchronization between chaotic and time-delayed chaotic systems ⋮ Adaptive single input sliding mode control for hybrid-synchronization of uncertain hyperchaotic Lu systems

Cites Work

• Unnamed Item
• Unnamed Item
• Generalized synchronization of continuous chaotic system
• Linear generalized synchronization of continuous-time chaotic systems.
• A simple global synchronization criterion for coupled chaotic systems.
• Some simple global synchronization criterions for coupled time-varying chaotic systems
• Chaos anticontrol and synchronization of three time scales brushless DC motor system
• Chaos synchronization and parameter identification for loudspeaker systems
• Control, anticontrol and synchronization of chaos for an autonomous rotational machine system with time-delay
• Chaos synchronization and parameter identification of three time scales brushless DC motor system
• Chaos synchronization and parameter identification for gyroscope system
• Global chaos synchronization of new chaotic systems via nonlinear control
• Global synchronization criterion and adaptive synchronization for new chaotic system
• Generalized synchronization in chaotic systems
• Anti-control of chaos of two-degrees-of-freedom loudspeaker system and chaos synchronization of different order systems
• Phase synchronization of coupled chaotic multiple time scales systems
• Chaos synchronization and parameters identification of single time scale brushless DC motors
• Synchronization of unidirectional coupled chaotic systems via partial stability
• Synchronization of two different chaotic systems: a new system and each of the dynamical systems Lorenz, Chen and Lü
• Adaptive synchronization of unidirectional and mutual coupled chaotic systems
• CHAOS AND CHAOS SYNCHRONIZATION OF A SYMMETRIC GYRO WITH LINEAR-PLUS-CUBIC DAMPING
• CHAOS, CHAOS CONTROL AND SYNCHRONIZATION OF ELECTRO-MECHANICAL GYROSTAT SYSTEM
• A New Criterion for Chaos Synchronization Using Linear State Feedback Control
• A GLOBAL SYNCHRONIZATION CRITERION FOR COUPLED CHAOTIC SYSTEMS VIA UNIDIRECTIONAL LINEAR ERROR FEEDBACK APPROACH

This page was built for publication: Generalized synchronization of chaotic systems by pure error dynamics and elaborate Lyapunov function