NDLI: Reliability of Coupled Oscillators

Content Provider	Springer Nature Link
Author	Lin, Kevin K. Shea Brown, Eric Young, Lai Sang
Copyright Year	2009
Abstract	We study the reliability of phase oscillator networks in response to fluctuating inputs. Reliability means that an input elicits essentially identical responses upon repeated presentations, regardless of the network’s initial condition. Single oscillators are well known to be reliable. We show in this paper that unreliable behavior can occur in a network as small as a coupled oscillator pair in which the signal is received by the first oscillator and relayed to the second with feedback. A geometric explanation based on shear-induced chaos at the onset of phase-locking is proposed. We treat larger networks as decomposed into modules connected by acyclic graphs, and give a mathematical analysis of the acyclic parts. Moreover, for networks in this class, we show how the source of unreliability can be localized, and address questions concerning downstream propagation of unreliability once it is produced.
Starting Page	497
Ending Page	545
Page Count	49
File Format	PDF
ISSN	09388974
Journal	Journal of Nonlinear Science
Volume Number	19
Issue Number	5
e-ISSN	14321467
Language	English
Publisher	Springer-Verlag
Publisher Date	2009-02-19
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Coupled oscillators Random dynamical systems Neural network dynamics Economic Theory ApplicationMathematics/Computational Methods of Engineering Mechanics Theoretical, Mathematical and Computational Physics Analysis
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Engineering Modeling and Simulation

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