Intermittent Behavior and Synchronization of Two Coupled Noisy Driven Oscillators
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-06-02
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
2009. Intermittent Behavior and Synchronization of Two Coupled Noisy Driven Oscillators. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-13.
https://search.emarefa.net/detail/BIM-484964
Modern Language Association (MLA)
Intermittent Behavior and Synchronization of Two Coupled Noisy Driven Oscillators. Mathematical Problems in Engineering No. 2009 (2009), pp.1-13.
https://search.emarefa.net/detail/BIM-484964
American Medical Association (AMA)
Intermittent Behavior and Synchronization of Two Coupled Noisy Driven Oscillators. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-13.
https://search.emarefa.net/detail/BIM-484964
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484964