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Asynchronous updating of coupled maps leads to synchronization.
1Institute of Mathematical Sciences, Taramani, Chennai 600 113, India.
Chaos (Woodbury, N.Y.)
|June 5, 2003
Summary
Asynchronous updates in two-dimensional coupled map lattices can lead to synchronized dynamics, a phenomenon not observed with parallel updates. Increasing asynchronicity widens the parameter range where synchronization becomes stable.
Area of Science:
- Complex Systems
- Nonlinear Dynamics
- Statistical Physics
Background:
- Coupled map lattices (CMLs) are widely used models for studying spatiotemporal chaos.
- Understanding synchronization phenomena in extended systems is crucial for various fields, including physics and engineering.
Purpose of the Study:
- To investigate the impact of asynchronous updating on the spatiotemporal dynamics of two-dimensional coupled map lattices.
- To identify conditions and parameter ranges that promote synchronization in these systems.
Main Methods:
- Numerical simulations of two-dimensional coupled map lattices with varying degrees of asynchronicity.
- Analysis of bifurcation diagrams and spatiotemporal patterns.
- Mean-field analysis to understand the stability of synchronized states.
Main Results:
- Parallel updates were found to prevent synchronization.
- Asynchronous updates introduce parameter windows where synchronized dynamics become stable.
- The range of parameters supporting synchronization expands significantly with increasing asynchronicity.
Conclusions:
- Asynchronicity is a key factor in achieving synchronization in two-dimensional coupled map lattices.
- The findings provide insights into the control of spatiotemporal chaos through update rules.