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arXiv · 1106.3247

Hierarchical Abstraction of Phase Response Curves of Synchronized Systems of Coupled Oscillators

Jaijeet Roychowdhury
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Abstract

We prove that a group of injection-locked oscillators, each modelled using a nonlinear phase macromodel, responds as a single oscillator to small external perturbations. More precisely, we show that any group of injection-locked oscillators has a single effective PRC [1] or PPV [2], [3] that characterises its phase/timing response to small external perturbations. This result constitutes a foundation for understanding and predicting synchronization/timing hierarchically in large, complex systems that arise in nature and engineering.

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Jaijeet Roychowdhury. 2012-09-08. Hierarchical Abstraction of Phase Response Curves of Synchronized Systems of Coupled Oscillators. https://arxiv.org/abs/1106.3247

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