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Binary mixtures of locally coupled mobile oscillators
Gonçalo Paulo1, Mykola Tasinkevych1
1Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, 1749-016 Lisboa, Portugal and Centro de Física Teórica e Computacional, Faculdade de Ciências, Universidade de Lisboa, 1749-016 Lisboa, Portugal.
Physical Review. E
|August 20, 2021
Summary
Mobile contrarian oscillators can disrupt unwanted synchronization in dynamic networks. A new asymmetric model shows these contrarians can eliminate coherence in normal oscillators while inducing it within their own group.
Area of Science:
- Complex Systems
- Nonlinear Dynamics
- Statistical Physics
Background:
- Synchronized behavior is an emergent cooperative phenomenon in diverse systems.
- Undesired synchronization can cause system malfunctions, as seen in neurological diseases.
- Mobility and heterogeneous interactions (contrarian elements) influence synchronization dynamics.
Purpose of the Study:
- To investigate the combined effects of oscillator mobility and heterogeneous interactions on network synchronization.
- To explore how contrarian oscillators affect synchronization in mobile systems.
- To analyze two distinct phase-coupling schemes within a generalized Kuramoto model.
Main Methods:
- Numerical simulations of binary mixtures of phase oscillators undergoing 2D random walks.
- Utilizing a generalized Kuramoto model with two coupling schemes: symmetric and asymmetric.
- Analyzing the impact of number density, mixture composition, and coupling strength on synchronization.
Main Results:
- The symmetric model fails to completely suppress network synchronization but allows control over its timescale.
- The asymmetric model demonstrates the potential to eliminate synchronization in normal oscillators.
- The asymmetric model can induce synchronization within the subpopulation of contrarian oscillators.
Conclusions:
- Heterogeneous interactions and mobility are crucial factors in controlling emergent synchronization.
- Asymmetric coupling schemes offer novel strategies for eliminating or inducing synchronization in specific subpopulations.
- This research provides insights into managing synchronization in complex dynamic networks.
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