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arXiv · 1501.01509

Pattern phase diagram for 2D arrays of coupled limit-cycle oscillators

Roland Lauter·Christian Brendel·Steven J. M. Habraken·Florian Marquardt
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Abstract

Arrays of coupled limit-cycle oscillators represent a paradigmatic example for studying synchronization and pattern formation. They are also of direct relevance in the context of currently emerging experiments on nano- and optomechanical oscillator arrays. We find that the full dynamical equations for the phase dynamics of such an array go beyond previously studied Kuramoto-type equations. We analyze the evolution of the phase field in a two-dimensional array and obtain a "phase diagram" for the resulting stationary and non-stationary patterns. The possible observation in optomechanical arrays is discussed briefly.

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Roland Lauter, Christian Brendel, Steven J. M. Habraken, Florian Marquardt. 2015-01-07. Pattern phase diagram for 2D arrays of coupled limit-cycle oscillators. https://doi.org/10.1103/physreve.92.012902

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