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Multi-headed loop chimera states in coupled oscillators
Dawid Dudkowski1, Krzysztof Czołczyński1, Tomasz Kapitaniak1
1Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland.
Chaos (Woodbury, N.Y.)
|March 23, 2021
Summary
Researchers discovered new multi-headed loop chimeras in coupled pendulum clocks. Initial positions and platform movement influence these complex synchronized states, offering insights into oscillator networks.
Area of Science:
- Nonlinear dynamics
- Complex systems
- Network science
Background:
- Chimera states, a hallmark of complex systems, involve coexisting synchronization and desynchronization.
- Previous research primarily focused on abstract network topologies.
Purpose of the Study:
- To introduce and characterize a novel geometric chimera state: multi-headed loop chimeras.
- To investigate the formation, stability, and universality of these states in a physical system.
Main Methods:
- Analysis of a network of locally coupled pendulum clocks on a movable platform.
- Determination of occurrence regions, pattern structures, and coexistence using statistical analysis.
- Bifurcation analysis to understand transitions between behaviors.
Main Results:
- Identified multi-headed loop chimeras arising from geometrical distortions in coupled oscillator networks.
- Demonstrated that initial pendulum positions and platform motion (amplitude, frequency) significantly influence chimera state stability and occurrence.
- Showcased the universal character of these patterns in large oscillator networks.
Conclusions:
- Multi-headed loop chimeras represent a novel class of complex dynamics in coupled systems.
- The findings highlight the importance of geometric configuration and external perturbations in emergent network behavior.
- The study suggests potential for similar phenomena in other coupled oscillator systems, particularly mechanical ones.
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