37 citations · 74 across the 7 of their papers we have counts for
7 papers
Stochastic phenomena of synchronization in ensembles of mean-field coupled limit cycle oscillators with two native frequencies
K. Okumura, A. Ichiki, M. Shiino
We study effects of independent white noise on synchronization phenomena in ensembles of coupled limit cycle oscillators with different native frequencies. We consider a simple mod…
Analytical Approach to Noise Effects on Synchronization in a System of Coupled Excitable Elements
K. Okumura, M. Shiino
We report relationships between the effects of noise and applied constant currents on the behavior of a system of excitable elements. The analytical approach based on the nonlinear…
Effects of noise on synchronization phenomena exhibited by mean-field coupled limit cycle oscillators with two natural frequencies
K. Okumura, A. Ichiki, M. Shiino
Relationships between inter-cluster synchronization phenomena and external noise are studied on the basis of noise level-free analysis. We consider a mean-field model of ensembles…
Phase transitions driven by Lévy stable noise: exact solutions and stability analysis of nonlinear fractional Fokker-Planck equations
Akihisa Ichiki, Masatoshi Shiino
Phase transitions and effects of external noise on many body systems are one of the main topics in physics. In mean field coupled nonlinear dynamical stochastic systems driven by B…
Thouless-Anderson-Palmer equation and self-consistent signal-to-noise analysis for the Hopfield model with three-body interaction
Akihisa Ichiki, Masatoshi Shiino
The self-consistent signal-to-noise analysis (SCSNA) is an alternative to the replica method for deriving the set of order parameter equations for associative memory neural network…
Associative memory storing an extensive number of patterns based on a network of oscillators with distributed natural frequencies in the presence of external white noise
Masahiko Yoshioka, Masatoshi Shiino
We study associative memory based on temporal coding in which successful retrieval is realized as an entrainment in a network of simple phase oscillators with distributed natural f…