Boundedness and synchronization of \(y\)-coupled Lorenz systems with or without controllers

DOI10.1016/j.physd.2007.10.006zbMath1168.34338OpenAlexW2052206013MaRDI QIDQ926818

Xiwei Liu, Tian-Ping Chen

Publication date: 21 May 2008

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2007.10.006

zbMATH Keywords

boundednesssynchronizationy-coupled Lorenz systems

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (14)

Synchronization of general complex networks with hybrid couplings and unknown perturbations ⋮ Outer synchronization of delayed coupled systems on networks without strong connectedness: a hierarchical method ⋮ Network synchronization using invariant-manifold-based diffusive dynamic couplings with time-delay ⋮ Characterizations and Criteria for Synchronization of Heterogeneous Networks to Linear Subspaces ⋮ New conditions on synchronization of networks of linearly coupled dynamical systems with non-Lipschitz right-hand sides ⋮ Synchronization in directed nonlinear complex networks under intermittent stochastic control ⋮ Adaptive control of bi-directionally coupled Lorenz systems with uncertainties ⋮ Partial synchronizability characterized by principal quasi-submatrices corresponding to clusters ⋮ Effects of network structure on the synchronizability of nonlinearly coupled Hindmarsh-Rose neurons ⋮ Full synchronization studied by a set of partitions connected together ⋮ Cluster synchronization induced by one-node clusters in networks with asymmetric negative couplings ⋮ Synchronization of identical neural networks and other systems with an adaptive coupling strength ⋮ Eventual dissipativeness and synchronization of nonlinearly coupled dynamical network of Hindmarsh-Rose neurons ⋮ Cluster synchronization in networks of coupled nonidentical dynamical systems

Cites Work

• Unnamed Item
• Unnamed Item
• Chaos synchronization of the master-slave generalized Lorenz systems via linear state error feedback control
• Dynamics of coupled Lorenz systems and its geophysical implications
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Spurious synchronization in non-diagonally coupled identical Lorenz oscillators
• New approach to synchronization analysis of linearly coupled ordinary differential systems
• GLOBALLY ATTRACTIVE AND POSITIVE INVARIANT SET OF THE LORENZ SYSTEM
• Attraktorlokalisierung des Lorenz-Systems
• EXPERIMENTAL DEMONSTRATION OF SECURE COMMUNICATIONS VIA CHAOTIC SYNCHRONIZATION
• An ultimate bound on the trajectories of the Lorenz system and its applications
• Cooperative oscillatory behavior of mutually coupled dynamical systems
• Pinning Complex Networks by a Single Controller
• Deterministic Nonperiodic Flow
• Fundamentals of synchronization in chaotic systems, concepts, and applications
• Synchronization in chaotic systems
• Adaptive control and synchronization of Lorenz systems.
• Bounds for trajectories of the Lorenz equations: An illustration of how to choose Liapunov functions

This page was built for publication: Boundedness and synchronization of \(y\)-coupled Lorenz systems with or without controllers