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5 papers · 1 filter
Dynamics of Limit Cycle Oscillator Subject to General Noise
Denis S. Goldobin, Jun-nosuke Teramae, Hiroya Nakao +1
The phase description is a powerful tool for analyzing noisy limit cycle oscillators. The method, however, has found only limited applications so far, because the present theory is…
A Fokker-Planck formalism for diffusion with finite increments and absorbing boundaries
M. Helias, M. Deger, S. Rotter +1
Gaussian white noise is frequently used to model fluctuations in physical systems. In Fokker-Planck theory, this leads to a vanishing probability density near the absorbing boundar…
Stochastic phase reduction for a general class of noisy limit cycle oscillators
Jun-nosuke Teramae, Hiroya Nakao, G. Bard Ermentrout
We formulate a phase-reduction method for a general class of noisy limit cycle oscillators and find that the phase equation is parametrized by the ratio between time scales of the…
Observers for canonic models of neural oscillators
David Fairhurst, Ivan Tyukin, Henk Nijmeijer +1
We consider the problem of state and parameter estimation for a wide class of nonlinear oscillators. Observable variables are limited to a few components of state vector and an inp…
Neural network model with discrete and continuous information representation
Jun Kitazono, Toshiaki Omori, Masato Okada
An associative memory model and a neural network model with a Mexican-hat type interaction are the two most typical attractor networks used in the artificial neural network models.…