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Wave propagation in random media with nonlocal coupling

Shiogai Yuri

Kyoto University, Japan

The purpose of this poster is to elucidate how noise intensity effects wave propagation in nonlocally coupled oscillators. It was shown that in the case of globally coupled oscillators, wave cannot propagate if the intensity of white Gaussian noise becomes above a critical point and that this transition occurs via a Hopf Bifurcation. We expect from this that the same fact is true for nonlocally coupled oscillators and show it by both a theoretical approach and computer simulation. The phase of nonlocally coupled oscillators obeys a stochastic equation. We can lead the Fokker-Planck equation equivalent to it. Near a point of the critical point, the Fokker-Planck equation can be reduced to the Ginzburg-Landau equation. The coefficients of the GL equation depend on a coupling function. When it is the pulse coupling function, the GL equation has an instability. We investigate the chaotic behavior. This model is thought to represent the real neurons and has an important meaning.


next up previous
Next: Znidaric Up: Abstracts Previous: Yim