Biomedical subjects

Takashi Ichinomiya

Publications and source records attributed to Takashi Ichinomiya.

2 recordsLinked to original sources

PubMed2005

Path-integral approach to dynamics in a sparse random network.

We study the dynamics involved in a sparse random network model. We extend the standard mean-field approximation for the dynamics of a random network by employing the path-integral approach. The result indicates that the distribution of the variable is essentially identical to that obtained from globally coupled oscillators with random Gaussian interaction. We present the results of a numerical simulation of the Kuramoto transition in a random network, which is found to be consistent with this analysis.

Journal Article↗

PubMed2004

Frequency synchronization in a random oscillator network.

We study the frequency synchronization of a randomly coupled oscillators. By analyzing the continuum limit, we obtain a sufficient condition for the mean-field-type synchronization. We especially find that the critical coupling constant K becomes 0 in the random scale-free network, P(k) proportional, variant k(-gamma), if 2<gamma</=3. Numerical simulations in finite networks are consistent with this analysis.

Journal Article↗