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20082022
most citedA proof of the Kuramoto conjecture for a bifurcation structure of the infinite dimensional Kuramoto model

76 citations · 300 across the 26 of their papers we have counts for

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Showing 2011Show all

2 papers · 1 filter

math.SP2011

A spectral theory of linear operators on rigged Hilbert spaces under analyticity conditions

Hayato Chiba

A spectral theory of linear operators on rigged Hilbert spaces (Gelfand triplets) is developed under the assumptions that a linear operator on a Hilbert space is…

nlin.AO2011★ 52 cited

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…