Journal
PHYSICAL REVIEW E
Volume 104, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.104.024313
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Funding
- national funds (OE), through Portugal's FCT Fundacao para a Ciencia e Tecnologia, I.P. [57/2016, 57/2017]
- FCT [SFRH/BD/121331/2016]
- Fundação para a Ciência e a Tecnologia [SFRH/BD/121331/2016] Funding Source: FCT
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The impact of field heterogeneity on entrainment was studied in a system of uniformly interacting phase oscillators. Field heterogeneity induces dynamical heterogeneity in the system, disrupting synchronization between groups of oscillators and causing them to enter a new disrupted state. It is found that disrupted dynamics can vary between different groups.
We studied the impact of field heterogeneity on entrainment in a system of uniformly interacting phase oscillators. Field heterogeneity is shown to induce dynamical heterogeneity in the system. In effect, the heterogeneous field partitions the system into interacting groups of oscillators that feel the same local field strength and phase. Based on numerical and analytical analysis of the explicit dynamical equations derived from the periodically forced Kuramoto model, we found that the heterogeneous field can disrupt entrainment at different field frequencies when compared to the homogeneous field. This transition occurs when the phase- and frequency-locked synchronization between groups of oscillators is broken at a critical field frequency, causing each group to enter a new dynamical state (disrupted state). Strikingly, it is shown that disrupted dynamics can differ between groups.
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