Stochastic dynamics of uncoupled neural oscillators: Fokker-Planck studies with the finite element method

Journal Article · Thu Nov 15 00:00:00 EST 2007 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PHYSREVE.76.056110· OSTI ID:21076269

Galan, Roberto F; Urban, Nathaniel N ^[1]; Ermentrout, G Bard ^[2]

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1. Department of Biological Sciences, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213 (United States)
2. Center for the Neural Basis of Cognition, Mellon Institute, Pittsburgh, Pennsylvania 15213 (United States)

We have investigated the effect of the phase response curve on the dynamics of oscillators driven by noise in two limit cases that are especially relevant for neuroscience. Using the finite element method to solve the Fokker-Planck equation we have studied (i) the impact of noise on the regularity of the oscillations quantified as the coefficient of variation, (ii) stochastic synchronization of two uncoupled phase oscillators driven by correlated noise, and (iii) their cross-correlation function. We show that, in general, the limit of type II oscillators is more robust to noise and more efficient at synchronizing by correlated noise than type I.

• OSTI ID: 21076269
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 76, Issue 5; Other Information: DOI: 10.1103/PhysRevE.76.056110; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY
CORRELATION FUNCTIONS
FINITE ELEMENT METHOD
FOKKER-PLANCK EQUATION
NEURAL NETWORKS
NOISE
OSCILLATIONS
OSCILLATORS
STOCHASTIC PROCESSES
SYNCHRONIZATION