4 citations · 4 across the 1 of their papers we have counts for
4 papers
Non-standard scaling law of fluctuations in finite-size systems of globally coupled oscillators
Isao Nishikawa, Gouhei Tanaka, Kazuyuki Aihara
Universal scaling laws form one of the central issues in physics. A non-standard scaling law or a breakdown of a standard scaling law, on the other hand, can often lead to the find…
Finite-size scaling in globally coupled phase oscillators with a general coupling scheme
Isao Nishikawa, Koji Iwayama, Gouhei Tanaka +2
We investigate a critical exponent related to synchronization transition in globally coupled nonidentical phase oscillators. The critical exponents of susceptibility, correlation t…
Long-term fluctuations in globally coupled phase oscillators with general coupling: Finite size effects
Isao Nishikawa, Gouhei Tanaka, Takehiko Horita +1
We investigate the diffusion coefficient of the time integral of the Kuramoto order parameter in globally coupled nonidentical phase oscillators. This coefficient represents the de…
Center manifold reduction for large populations of globally coupled phase oscillators
Hayato Chiba, Isao Nishikawa
A bifurcation theory for a system of globally coupled phase oscillators is developed based on the theory of rigged Hilbert spaces. It is shown that there exists a finite-dimensiona…