ASYMPTOTIC SYNCHRONIZATION IN LATTICES OF COUPLED NONIDENTICAL LORENZ EQUATIONS

DOI10.1142/S0218127400001778zbMath0983.37018OpenAlexW2149145400MaRDI QIDQ2709995

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Publication date: 13 July 2001

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127400001778

zbMATH Keywords

Lyapunov stabilityasymptotic synchronizationDirichlet conditiondifferent boundary conditionscoupled nonidentical Lorenz equationscoupling rulesglobal stability of trivial equilibriumNeumann/periodic boundary condition

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Stability theory for smooth dynamical systems (37C75)

Related Items (13)

Chaotic observer-based synchronization under information constraints ⋮ Synchronization between bidirectional coupled nonautonomous delayed Cohen-Grossberg neural networks ⋮ Adaptive lag synchronization of chaotic Cohen-Grossberg neural networks with discrete delays ⋮ Nonlinear integral synchronization of ring networks ⋮ Persistent clusters in lattices of coupled nonidentical chaotic systems ⋮ Synchronization of chaotic neurons coupled with gap junction with time delays in external electrical stimulation ⋮ Synchronization in lattices of coupled non-autonomous Chen system via Lyapunov function ⋮ Chaotic synchronization with gap junction of multi-neurons in external electrical stimulation ⋮ Chaotic synchronization of neurons coupled with gap junction under external electrical stimulation ⋮ Synchronization slaved by partial-states in lattices of non-autonomous coupled Lorenz equation ⋮ Chaotic synchronization in lattice of partial-state coupled Lorenz equations ⋮ Chaotic synchronization of two coupled neurons via nonlinear control in external electrical stimulation ⋮ Chaos synchronization between linearly coupled chaotic systems.

Cites Work

• Synchronization in a pool of mutually coupled oscillators with random frequencies
• Diffusive coupling, dissipation, and synchronization
• Stability Theory of Synchronized Motion in Coupled-Oscillator Systems
• Synchronization of Pulse-Coupled Biological Oscillators
• Synchronization In Lattices Of Coupled Oscillators With Neumann /Periodic Boundary Conditions
• STABILITY OF SYNCHRONIZATION IN NETWORKS OF DIGITAL PHASE-LOCKED LOOPS
• Synchronization in a Lattice of Coupled van der Pol Systems
• Synchronization in chaotic systems

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