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Synchronization of mobile chaotic oscillator networks
Naoya Fujiwara1, Jürgen Kurths2, Albert Díaz-Guilera3
1Center for Spatial Information Science, The University of Tokyo, 277-8568 Chiba, Japan.
Chaos (Woodbury, N.Y.)
|October 27, 2016
Summary
We found a novel synchronization transition in chaotic systems with noisy interactions and dynamic networks. Slow network changes can cause intermittent synchronization, even when stable, due to noise and Lyapunov exponent fluctuations.
Area of Science:
- Complex Systems
- Nonlinear Dynamics
- Network Science
Background:
- Studying synchronization in systems with chaotic oscillators and dynamic interaction networks is crucial for understanding complex emergent behaviors.
- Noise in agent interactions can significantly impact the dynamics of chaotic systems, leading to unexpected phenomena.
Purpose of the Study:
- To investigate the synchronization transitions in systems of chaotic oscillators with time-dependent interaction networks and noise.
- To analyze the influence of network topology dynamics on synchronization stability and identify novel transition mechanisms.
Main Methods:
- Simulating systems of chaotic oscillators in a 2D plane with noisy interactions forming time-dependent networks.
- Analyzing synchronization transitions by varying control parameters and studying the impact of network topology change speed.
- Investigating the role of noise and Lyapunov exponent fluctuations in synchronization stability.
Main Results:
- A synchronization transition occurs, dependent on the relative speeds of motion and interaction dynamics.
- Slow network topology changes induce intermittent synchronization with laminar and burst states, even when linearly stable without noise.
- Linear stability is insufficient for synchronization stability due to fluctuations in the transverse Lyapunov exponent with slow network changes.
Conclusions:
- Novel synchronization transitions and intermittency arise in noisy chaotic systems with slowly changing network topologies.
- Fluctuations in the finite-time transverse Lyapunov exponent are critical for synchronization stability in mobile contact networks.
- These findings are applicable to temporal networks with noisy chaotic oscillators, regardless of specific oscillator dynamics.
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