arXiv Open Access 2020

Low-dimensional description for ensembles of identical phase oscillators subject to Cauchy noise

Ralf Tönjes Arkady Pikovsky

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Abstrak

We study an ensembles of globally coupled or forced identical phase oscillators subject to independent white Cauchy noise. We demonstrate, that if the oscillators are forced in several harmonics, stationary synchronous regimes can be exactly described with a finite number of complex order parameters. The corresponding distribution of phases is a product of wrapped Cauchy distributions. For sinusoidal forcing, the Ott-Antonsen low-dimensional reduction is recovered.

Topik & Kata Kunci

nlin.AO cond-mat.dis-nn

Penulis (2)

Ralf Tönjes

Arkady Pikovsky

Format Sitasi

APA MLA BibTeX

Tönjes, R., Pikovsky, A. (2020). Low-dimensional description for ensembles of identical phase oscillators subject to Cauchy noise. https://arxiv.org/abs/2009.04725

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓