4 citations · 7 across the 4 of their papers we have counts for
6 papers
Generalized eigenvalues of the Perron-Frobenius operators of symbolic dynamical systems
Hayato Chiba, Masahiro Ikeda, Isao Ishikawa
The generalized spectral theory is an effective approach to analyze a linear operator on a Hilbert space with a continuous spectrum. The generalized spectrum is compu…
Bifurcation of the neuronal population dynamics of the modified theta model: transition to macroscopic gamma oscillation
Kiyoshi Kotani, Akihiko Akao, Hayato Chiba
Interactions of inhibitory neurons produce gamma oscillations (30--80 Hz) in the local field potential, which is known to be involved in functions such as cognition and attention.…
Weights, Kovalevskaya exponents and the Painlevé property
Hayato Chiba
Weighted degrees of quasihomogeneous Hamiltonian functions of the Painlevé equations are investigated. A tuple of positive integers, called a regular weight, satisfying certain con…
Instability of mixing in the Kuramoto model: From bifurcations to patterns
Hayato Chiba, Georgi S. Medvedev, Matthew S. Mizuhara
We study patterns observed right after the loss of stability of mixing in the Kuramoto model of coupled phase oscillators with random intrinsic frequencies on large graphs, which c…
Bifurcations in the Kuramoto model on graphs
Hayato Chiba, Georgi S. Medvedev, Matthew S. Mizuhara
In his classical work, Kuramoto analytically described the onset of synchronization in all-to-all coupled networks of phase oscillators with random intrinsic frequencies. Specifica…
A spectral theory of linear operators on rigged Hilbert spaces under analyticity conditions II: applications to Schrödinger operators
Hayato Chiba
A spectral theory of linear operators on a rigged Hilbert space is applied to Schrödinger operators with exponentially decaying potentials and dilation analytic potentials. The the…