Intermittent behavior and synchronization of two coupled noisy driven oscillators
type: Item
instance of: scholarly article
title: Intermittent behavior and synchronization of two coupled noisy driven oscillators
zbMATH Open document ID: 1218.37125
DOI: 10.1155/2009/610574
author: Ângela Maria dos Santos
author: S. R. Lopes
author: R. L. Viana
published in: Mathematical Problems in Engineering
publication date: 2009-11-13T00:00:00Z
full work available at URL: https://eudml.org/doc/45869
review text: Summary: The coupled system of two forced Liénard-type oscillators has applications in diode-based electric circuits and phenomenological models for the heartbeat. These systems typically exhibit intermittent transitions between laminar and chaotic states; what affects their performance and, since noise is always present in such systems, dynamical models should include these effects. Accordingly, we investigated numerically the effect of noise in two intermittent phenomena: the intermittent transition to synchronized behavior for identical and unidirectionally coupled oscillators, and the intermittent transition to chaos near a periodic window of bidirectionally coupled oscillators. We found that the transition from a nonsynchronized to a synchronized state exhibits a power-law scaling with exponent \(3/2\) characterizing on-off intermittency. The inclusion of noise adds an exponential tail to this scaling.
Mathematics Subject Classification ID: 37N35
Mathematics Subject Classification ID: 94C99
Mathematics Subject Classification ID: 94A12
zbMATH DE Number: 5632511
MaRDI profile type: Publication
OpenAlex ID: W1990935763
Wikidata QID: Q58649417
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description: scientific article; zbMATH DE number 5632511