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Chimera patterns induced by distance-dependent power-law coupling in ecological networks
Tanmoy Banerjee1, Partha Sharathi Dutta2, Anna Zakharova3
1Chaos and Complex Systems Research Laboratory, Department of Physics, University of Burdwan, Burdwan 713 104, West Bengal, India.
Physical Review. E
|October 15, 2016
Summary
This study reveals how long-range interactions in coupled oscillators create complex chimera patterns. Varying interaction exponents controls transitions between synchrony and these emergent collective dynamics.
Area of Science:
- Complex systems
- Nonlinear dynamics
- Network science
Background:
- Coupled oscillators exhibit diverse collective behaviors.
- Long-range interactions are prevalent in physical and biological systems.
- Chimera states represent a unique form of spatiotemporal incoherence.
Purpose of the Study:
- To investigate chimera patterns in a network of coupled oscillators with power-law interactions.
- To explore how varying the power-law exponent affects collective dynamics.
- To map spatiotemporal states based on coupling strength and exponent.
Main Methods:
- Utilizing the Rosenzweig-MacArthur model for oscillating populations.
- Simulating networks with distance-dependent power-law coupling.
- Analyzing transitions between spatial synchrony and chimera patterns.
Main Results:
- Observed multiple chimera patterns and their transitions.
- Demonstrated that the power-law exponent mediates transitions between synchrony and chimeras.
- Identified the interplay between coupling strength and exponent in shaping network states.
Conclusions:
- Power-law interactions offer a versatile mechanism to control collective dynamics in oscillator networks.
- The findings provide insights into emergent behaviors in spatially extended systems.
- This framework is applicable to understanding phenomena in physics and ecology.
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