Physical interpretation and theory of existence of cluster structures in lattices of dynamical systems
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Publication:944827
DOI10.1016/J.CHAOS.2006.05.062zbMath1142.34333OpenAlexW1979961309MaRDI QIDQ944827
Stanislav N. Verichev, Nikolai N. Verichev, Marian Wiercigroch
Publication date: 10 September 2008
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2006.05.062
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Nonlinear dynamics in mechanics (70K99) Smooth dynamical systems: general theory (37C99)
Related Items (3)
Asymptotic theory of chaotic synchronization for dissipative-coupled dynamical systems ⋮ C-oscillators and stability of stationary cluster structures in lattices of diffusively coupled oscillators ⋮ Unnamed Item
Cites Work
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- Inariant manifolds and chaotic vibrations in singularly perturbed nonlinear oscillators
- Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements
- Dynamics of circular arrays of Josephson junctions and the discrete sine-Gordon equation
- Cooperative behavior of a chain of synaptically coupled chaotic neurons
- Spatiotemporal synchronization in lattices of locally coupled chaotic oscillators
- Variety and generality of clustering in globally coupled oscillators
- Relevance of dynamic clustering to biological networks
- Spatial disorder and pattern formation in lattices of coupled bistable elements
- Subthreshold oscillations in a map-based neuron model
- Frequency synchronization of clusters in coupled extended systems
- 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
- CLUSTER SYNCHRONIZATION IN THREE-DIMENSIONAL LATTICES OF DIFFUSIVELY COUPLED OSCILLATORS
- 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
- Partial synchronization and clustering in a system of diffusively coupled chaotic oscillators
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