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Updated: Jul 14, 2026
10:37
Spatial Separation of Molecular Conformers and Clusters
Published on: January 9, 2014
Persistent clusters in lattices of coupled nonidentical chaotic systems
I Belykh1, V Belykh, K Nevidin
1Laboratory of Nonlinear Systems, Swiss Federal Institute of Technology Lausanne (EPFL), CH-1015 Lausanne, Switzerland. igor.belykh@epfl.ch
Chaos (Woodbury, N.Y.)
|April 5, 2003
Summary
Cluster synchronization in 2D lattices of chaotic oscillators persists even with slightly different parameters. These synchronization regimes remain stable and robust against parameter mismatch and noise in nonidentical systems.
Area of Science:
- Nonlinear Dynamics
- Complex Systems
- Chaos Theory
Background:
- Previous studies demonstrated cluster synchronization in identical chaotic oscillator lattices.
- Understanding synchronization in nonidentical systems is crucial for real-world applications.
Purpose of the Study:
- To investigate the persistence and stability of cluster synchronization regimes in 2D lattices of nonidentical chaotic oscillators.
- To analytically and numerically confirm the robustness of these regimes against parameter variations and noise.
Main Methods:
- Analytical approach using the Lyapunov function method to prove stability and estimate synchronization error.
- Numerical simulations on 2D lattices of Lorenz and Rossler systems with scalar diffusive coupling.
- Investigating the impact of parameter mismatch and small noise on synchronization patterns.
Main Results:
- Cluster synchronization regimes persist in 2D lattices of diffusively coupled chaotic oscillators with slightly different parameters.
- Analytical methods confirm the stability of almost-perfect synchronization for a wide class of systems.
- Numerical studies show robustness against 10%-15% parameter mismatch and small noise in Lorenz and Rossler systems.
Conclusions:
- Cluster synchronization is a robust phenomenon in 2D lattices of chaotic oscillators, even when parameters are not identical.
- The findings extend the understanding of synchronization in complex dynamical networks.
- The study highlights the potential for reliable synchronized behavior in realistic, imperfect systems.
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