7 citations · 22 across the 14 of their papers we have counts for
14 papers
Exact solutions to SIR epidemic models via integrable discretization
Atsushi Nobe
An integrable discretization of the SIR model with vaccination is proposed. The conserved quantities of the continuous model are inherited to the discrete model through the discret…
Periodicity, linearizability and integrability in seed mutations of type
Atsushi Nobe, Junta Matsukidaira
In the network of seed mutations arising from a certain initial seed, an appropriate path emanating from the initial seed is intendedly chosen, noticing periodicity of the exchange…
A family of integrable and non-integrable difference equations arising from cluster algebras
Atsushi Nobe, Junta Matsukidaira
The one-parameter family of second order nonlinear difference equations each of which is given by is expl…
Generators of rank 2 cluster algebras of affine types via linearization of seed mutations
Atsushi Nobe
From the viewpoint of integrable systems on algebraic curves, we discuss linearization of birational maps arising from the seed mutations of types and , whic…
Birational maps conjugate to the rank 2 cluster mutations of affine types and their geometry
Atsushi Nobe
Mutations of the cluster variables generating the cluster algebra of type reduce to a two-dimensional discrete integrable system given by a quartic birational map. The…
Mutations of the cluster algebra of type and the periodic discrete Toda lattice
Atsushi Nobe
A direct connection between two sequences of points, one of which is generated by seed mutations in the cluster algebra of type and the other by time evolutions of the…