Intermittent Behavior and Synchronization of Two Coupled Noisy Driven Oscillators

Ângela Maria dos Santos, Sérgio Roberto Lopes and Ricardo Luiz Viana

Mathematical Problems in Engineering, 2009, vol. 2009, 1-13

Abstract:

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.

Date: 2009
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/MPE/2009/610574.pdf (application/pdf)
http://downloads.hindawi.com/journals/MPE/2009/610574.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:610574

DOI: 10.1155/2009/610574

Access Statistics for this article

More articles in Mathematical Problems in Engineering from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().