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Chimera-like behavior in a heterogeneous Kuramoto model: The interplay between attractive and repulsive coupling
Nikita Frolov1, Vladimir Maksimenko1, Soumen Majhi2
1Neuroscience and Cognitive Technology Laboratory, Center for Technologies in Robotics and Mechatronics Components, Innopolis University, 420500 Innopolis, The Republic of Tatarstan, Russia.
Chaos (Woodbury, N.Y.)
|September 3, 2020
Summary
Researchers studied complex systems of coupled oscillators, finding a unique chimera-like pattern during synchronization. This behavior arises from interactions between different oscillator groups in heterogeneous networks.
Area of Science:
- Nonlinear dynamics
- Complex systems
- Network science
Background:
- Coupled nonlinear oscillators exhibit diverse collective behaviors, including fascinating chimera states.
- Chimera states display coexisting coherent and incoherent element populations.
- Heterogeneous network models are crucial for understanding emergent chimera behavior.
Purpose of the Study:
- To explore transitions in a heterogeneous Kuramoto model with increasing coupling strength.
- To identify and characterize novel dynamical regimes during synchronization.
- To investigate the role of network structure in chimera state formation.
Main Methods:
- Utilized a heterogeneous Kuramoto model.
- Monotonically increased coupling strength to observe system transitions.
- Analyzed emergent dynamical regimes and network properties.
Main Results:
- Observed a frequency-modulated chimera-like pattern during an explosive transition to synchronization.
- Attributed this pattern to the interplay between attractively and repulsively coupled subpopulations.
- Identified network structures that induce (weakly non-local, small-world, sparse scale-free) and suppress (globally coupled, dense scale-free) this chimera-like state.
Conclusions:
- Heterogeneous network properties significantly influence collective dynamics and chimera state emergence.
- The interplay between subpopulations is key to generating specific chimera-like patterns.
- Network topology critically determines the presence or absence of chimera states in coupled oscillator systems.
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