Stability of synchronized oscillations in networks of phase-oscillators

Guy Katriel

doi:10.3934/dcdsb.2005.5.353

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2005, Volume 5, Issue 2: 353-364. Doi: 10.3934/dcdsb.2005.5.353

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Stability of synchronized oscillations in networks of phase-oscillators

Guy Katriel^1,

1.
Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, 91904

Received: September 30, 2003

Revised: April 30, 2004

Published: April 2008

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Abstract

We derive simple conditions for the stability or instability of the synchronized oscillation of a class of networks of coupled phase-oscillators, which includes many of the systems used in neural modelling.

Keywords:

Coupled oscillators,
Synchronization.

Mathematics Subject Classification: 34C15, 92B20.

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