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

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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Cited by in corpus (4)

• Nonreciprocal topological phononics in optomechanical arrays
• General linearized theory of quantum fluctuations around arbitrary limit cycles
• Dynamical and quantum effects of collective dissipation in optomechanical systems
• Quantum signatures of transitions from stable fixed points to limit cycles in optomechanical systems