Generalized \(Q-S\) (lag, anticipated and complete) synchronization in modified Chua's circuit and Hindmarsh-Rose systems

DOI10.1016/j.amc.2006.01.017zbMath1145.37312OpenAlexW2016423973MaRDI QIDQ945340

Yong Chen, Qi Wang

Publication date: 12 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.01.017

zbMATH Keywords

Lyapunov stabilityfeedback controlchaotic systemsmodified Chua's circuitHindmarsh-Rose systemcontrollersymbolic computation system Mapleanticipated and complete) synchronizationgeneralized \(Q-S\) (lag

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Analytic circuit theory (94C05) Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (17)

Synchronization of chaotic neural networks with delay in irregular networks ⋮ Anti-synchronization on autonomous and non-autonomous chaotic systems via adaptive feedback control ⋮ Chaos synchronization of a new hyperchaotic system ⋮ Mixed-mode oscillations in a modified Chua's circuit ⋮ Lag synchronization of two identical Hindmarsh-Rose neuron systems with mismatched parameters and external disturbance via a single sliding mode controller ⋮ Investigation of Q-S synchronization in coupled chaotic incommensurate fractional order systems ⋮ Adaptive observer-based projective synchronization for chaotic neural networks with mixed time delays ⋮ Q-S synchronization between chaotic systems with double scaling functions ⋮ A general scheme for Q-S synchronization of chaotic systems ⋮ The function cascade synchronization approach with uncertain parameters or not for hyperchaotic systems ⋮ Projective synchronization of different chaotic time-delayed neural networks based on integral sliding mode controller ⋮ A general scheme for Q-S synchronization of chaotic systems with unknown parameters and scaling functions ⋮ Adaptive \(Q-S\) synchronization of non-identical chaotic systems with unknown parameters ⋮ The generalized Q-S synchronization between the generalized Lorenz canonical form and the Rössler system ⋮ Adaptive function Q-S synchronization of chaotic systems with unknown parameters ⋮ A new Q-S synchronization results for discrete chaotic systems ⋮ A robust control method for \(Q - S\) synchronization between different dimensional integer-order and fractional-order chaotic systems

Uses Software

• Maple

Cites Work

• Adaptive nonlinear control without overparametrization
• Synchronizing chaotic systems using backstepping design.
• The synchronization of chaotic systems
• Adaptive synchronization of uncertain chaotic systems via backstepping design
• Synchronizing strict-feedback and general strict-feedback chaotic systems via a single controller
• Adaptive backstepping synchronization of uncertain chaotic system
• Chaos Q-S synchronization between Rössler system and the new unified chaotic system
• Synchronization in chaotic systems
• A new scheme to generalized (lag, anticipated, and complete) synchronization in chaotic and hyperchaotic systems

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