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Phase oscillators in modular networks: The effect of nonlocal coupling
Sangeeta Rani Ujjwal1, Nirmal Punetha2, Ramakrishna Ramaswamy1
1School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110 067, India.
Physical Review. E
|February 13, 2016
Summary
This study explores phase oscillator networks, revealing complex dynamics like modular synchrony and multicluster frequency chimeras. Researchers analyzed these states in nonlocally coupled systems with phase lags.
Area of Science:
- Complex Systems and Network Science
- Nonlinear Dynamics and Chaos Theory
- Statistical Physics and Synchronization Phenomena
Background:
- Modular networks with non-local coupling exhibit rich dynamical behaviors.
- Phase lag (α) significantly influences oscillator interactions and emergent states.
- Understanding synchronization in complex networks is crucial for various scientific domains.
Purpose of the Study:
- To investigate the diverse dynamical states in nonlocally coupled phase oscillators within a modular network structure.
- To analyze the conditions leading to global synchrony, modular synchrony, and multicluster frequency chimeras.
- To characterize the coexistence of synchronized and desynchronized dynamics within network modules.
Main Methods:
- Modeling nonlocally coupled phase oscillators in a modular network.
- Incorporating phase lag (α) as a key parameter in interaction dynamics.
- Application of the Ott-Antonsen ansatz for dimensionality reduction and detailed analysis.
Main Results:
- Identified distinct dynamical states including global synchrony and modular synchrony.
- Observed multicluster frequency chimeras, characterized by coherent domains synchronized to different frequencies.
- Demonstrated coexistence of synchronized modules with desynchronized modules within the network.
Conclusions:
- The modular network structure supports complex synchronization patterns beyond simple global synchrony.
- Multicluster frequency chimeras represent a novel state arising from competing synchronization frequencies.
- The Ott-Antonsen ansatz provides an effective framework for analyzing high-dimensional oscillator network dynamics.
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