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. 2016 Sep 1;6:32528. doi: 10.1038/srep32528

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Copyright © 2016, The Author(s)

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(a) Critical coupling strength λ_crit vs. number of oscillators N in the Kuramoto model, normalized to the case where N = 3 × 3. Red dotted line: For a system size , there is a corresponding minimum coupling strength to obtain a synchronized state, and vice versa. (b) Blue solid line: Expected scaling between critical oscillator spacing, d_crit, and number of oscillators when assuming a dipolar interaction decaying as 1/d³. Red datapoints: Results from micromagnetic simulations. (c) Black solid line: Power output assuming an ideal scaling, P ∝ N². Blue dotted line: Calculated power output for an interaction strength MHz, normalized to the case where N = 3 × 3. Inset: Order parameter ρ for 3 × 3 and 13 × 13 STO respectively, showing the transition from a synchronized state to chaotic behavior as the number of STO is increased.

Inline graphic — (a) Critical coupling strength λ_crit vs. number of oscillators N in the Kuramoto model, normalized to the case where N = 3 × 3. Red dotted line: For a system size , there is a corresponding minimum coupling strength to obtain a synchronized state, and vice versa. (b) Blue solid line: Expected scaling between critical oscillator spacing, d_crit, and number of oscillators when assuming a dipolar interaction decaying as 1/d³. Red datapoints: Results from micromagnetic simulations. (c) Black solid line: Power output assuming an ideal scaling, P ∝ N². Blue dotted line: Calculated power output for an interaction strength MHz, normalized to the case where N = 3 × 3. Inset: Order parameter ρ for 3 × 3 and 13 × 13 STO respectively, showing the transition from a synchronized state to chaotic behavior as the number of STO is increased.