29 citations · 48 across the 5 of their papers we have counts for
5 papers
On a parametrized difference equation connecting chaotic and integrable mappings
Tomoko Nagai, Atsushi Nagai, Hiroko Yamaki +1
We present a new difference equation with two parameters c in [0,1] and A in [1,4]. This equation is equivalent to the logistic mapping if c=1 and the Morishita mapping if c=0, whi…
The best constant of discrete Sobolev inequality on the C60 fullerene buckyball
Yoshinori Kametaka, Atsushi Nagai, Hiroyuki Yamagishi +2
The best constants of two kinds of discrete Sobolev inequalities on the C60 fullerene buckyball are obtained. All the eigenvalues of discrete Laplacian corresponding to the buc…
Fractional Logistic Map
Atsushi Nagai
A new type of an integrable mapping is presented. This map is equipped with fractional difference and possesses an exact solution, which can be regarded as a discrete analogue of t…
Two-dimensional soliton cellular automaton of deautonomized Toda-type
A. Nagai, T. Tokihiro, J. Satsuma +2
A deautonomized version of the two-dimensional Toda lattice equation is presented. Its ultra-discrete analogue and soliton solutions are also discussed.
Discrete soliton equations and convergence acceleration algorithms
Atsushi Nagai, Junkichi Satsuma
Some of the well-known convergence acceleration algorithms, when viewed as two-variable difference equations, are equivalent to discrete soliton equations. It is shown that the $η-…