C-oscillators and stability of stationary cluster structures in lattices of diffusively coupled oscillators
DOI10.1016/J.CHAOS.2009.01.041zbMath1198.34056OpenAlexW2022456624MaRDI QIDQ603612
Marian Wiercigroch, Stanislav N. Verichev, Nikolai N. Verichev
Publication date: 8 November 2010
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2009.01.041
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Ordinary lattice differential equations (34A33) Synchronization of solutions to ordinary differential equations (34D06)
Cites Work
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- Asymptotic theory of chaotic synchronization for dissipative-coupled dynamical systems
- Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements
- Physical interpretation and theory of existence of cluster structures in lattices of dynamical systems
- Dynamics of circular arrays of Josephson junctions and the discrete sine-Gordon equation
- Inertia characteristics of self-adjoint matrix polynomials
- Estimation of the dominant Lyapunov exponent of non-smooth systems on the basis of maps synchronization.
- Estimation of the largest Lyapunov exponent in systems with impacts
- Spatiotemporal synchronization in lattices of locally coupled chaotic oscillators
- Relevance of dynamic clustering to biological networks
- Stability Theory of Synchronized Motion in Coupled-Oscillator Systems. II: The Mapping Approach
- Synchronization of Pulse-Coupled Biological Oscillators
- MUTUAL SYNCHRONIZATION OF CHAOTIC SELF-OSCILLATORS WITH DISSIPATIVE COUPLING
- Deterministic Nonperiodic Flow
- CLUSTER SYNCHRONIZATION IN THREE-DIMENSIONAL LATTICES OF DIFFUSIVELY COUPLED OSCILLATORS
- Synchronization in an array of linearly coupled dynamical systems
- Fundamentals of synchronization in chaotic systems, concepts, and applications
- Synchronization in chaotic systems
- Invariant Manifolds and Synchronization of Coupled Dynamical Systems
- CHAOS COMMUNICATION OVER NOISY CHANNELS
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