Pulsed chaos synchronization in networks with adaptive couplings.
Marco Winkler1, Sebastian Butsch, Wolfgang Kinzel
1Institute for Theoretical Physics, University of Würzburg, Am Hubland, 97074 Würzburg, Germany.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
Summary
Dynamic adaptive couplings in chaotic networks create intermittent synchronization pulses. These pulses, occurring at various scales, prevent steady states and enable cluster formation, even from small synchronized groups.
Area of Science:
- Complex Systems
- Nonlinear Dynamics
- Network Science
Background:
- Chaotic systems can exhibit synchronization with static couplings.
- The impact of dynamic, adaptive couplings on chaotic network behavior is less understood.
Purpose of the Study:
- To investigate the effect of dynamic adaptive couplings on chaotic network synchronization.
- To understand how competing mechanisms in coupling strength influence network dynamics.
Main Methods:
- Numerical simulations using a coupled map lattice model.
- Analysis of network behavior under adaptive coupling rules involving exponential decrease and desynchronized activity increase.
Main Results:
- Dynamic adaptive couplings prevent the network from reaching a steady state.
- Chaotic trajectories are interrupted by intermittent pulses of synchronized clusters across multiple scales.
- Small synchronized groups can trigger network-wide synchronization pulses.
Conclusions:
- Adaptive couplings introduce complex, non-steady-state dynamics in chaotic networks.
- Intermittent synchronization and cluster formation are key emergent behaviors driven by adaptive couplings.
- The findings offer insights into self-organizing phenomena in complex systems.
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