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Updated: May 23, 2026
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Transition from spatial coherence to incoherence in coupled chaotic systems.
Iryna Omelchenko1, Bruno Riemenschneider, Philipp Hövel
1Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, D-10623 Berlin, Germany.
Summary
We studied coupled chaotic systems and found that changing the coupling strength and radius creates patterns, leading to spatial chaos. A critical coupling strength was identified for this transition.
Area of Science:
- Complex Systems
- Nonlinear Dynamics
- Network Science
Background:
- Coupled chaotic systems exhibit complex spatio-temporal dynamics.
- Nonlocal interactions and finite coupling ranges influence system behavior.
- Understanding transitions from order to chaos in such systems is crucial.
Purpose of the Study:
- To investigate spatio-temporal dynamics in coupled chaotic systems with nonlocal interactions.
- To analyze the transition from coherent behavior to spatial chaos.
- To identify critical parameters and scaling relations governing this transition.
Main Methods:
- Numerical simulations of coupled chaotic systems (logistic map, Rössler, Lorenz).
- Analysis of spatial patterns and coherence-incoherence transitions.
- Theoretical derivations to support numerical findings and identify critical coupling strength.
Main Results:
- Characteristic spatial patterns (e.g., wavelike profiles) emerge based on coupling strength and radius.
- A transition from coherence to incoherence, leading to spatial chaos, is observed.
- A critical coupling strength and a scaling relation for coherent profiles were identified.
Conclusions:
- The study establishes the coherence-incoherence transition in networks of coupled identical oscillators.
- Findings demonstrate universality across time-discrete and time-continuous chaotic models.
- The identified critical parameters provide insights into controlling chaos in complex networks.
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