28 citations · 61 across the 9 of their papers we have counts for
9 papers
A -analogue of the matrix fifth Painlevé system
Hiroshi Kawakami
We consider a degeneration of the -matrix sixth Painlevé system. As a result, we obtain a system of non-linear -difference equations, which describes a deformation of a certa…
A -analogue of the matrix sixth Painlevé system
Hiroshi Kawakami
We derive a -analogue of the matrix sixth Painlevé system via a connection-preserving deformation of a certain Fuchsian linear -difference system. In specifying the linear $q…
Emergence of long-term rhythmicity within a frustrated triangle oscillator-network
Masatomo Matsushima, Hiroshi Ueno, Yoshiki Kamiya +1
This study tries to simulate a brain cell network using an electric circuit oscillator called electronic firefly. Multiple stability was observed in the electric circuit oscillator…
Four-dimensional Painlevé-type difference equations
Hiroshi Kawakami
We focus on Fuchsian equations with four accessory parameters and three singular points. We see that the Fuchsian equations admit a "degeneration scheme" in some sense, which is ex…
Four-Dimensional Painlevé-Type Equations Associated with Ramified Linear Equations III: Garnier Systems and Fuji-Suzuki Systems
Hiroshi Kawakami
This is the last part of a series of three papers entitled "Four-dimensional Painlevé-type equations associated with ramified linear equations". In this series of papers we aim to…
Regular flat structure and generalized Okubo system
Hiroshi Kawakami, Toshiyuki Mano
We study a relationship between regular flat structures and generalized Okubo systems. We show that the space of variables of isomonodromic deformations of a regular generalized Ok…
Four-dimensional Painlevé-type equations associated with ramified linear equations II: Sasano systems
Hiroshi Kawakami
This is a continuation of the paper "Four-dimensional Painlevé-type equations associated with ramified linear equations I: Matrix Painlevé systems" (arXiv:1608.03927). In this seri…
Four-dimensional Painlevé-type equations associated with ramified linear equations I: Matrix Painlevé systems
Hiroshi Kawakami
As a sequel to Kawakami-Nakamura-Sakai (arXiv:1209.3836), this series of papers constructs the complete degeneration scheme of four-dimensional Painlevé-type equations which includ…
Degeneration scheme of 4-dimensional Painlevé-type equations
Hiroshi Kawakami, Akane Nakamura, Hidetaka Sakai
Four 4-dimensional Painlevé-type equations are obtained by isomonodromic deformation of Fuchsian equations: they are the Garnier system in two variables, the Fuji-Suzuki system, th…