Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Matsukidaira, Junta"'
Autor:
Nobe, Atsushi, Matsukidaira, Junta
Publikováno v:
Journal of Mathematical Physics 62, 013510 (2021)
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 matrices in the path each of which is assigned to the generalized Car
Externí odkaz:
http://arxiv.org/abs/2009.08620
Autor:
Nobe, Atsushi, Matsukidaira, Junta
The one-parameter family of second order nonlinear difference equations each of which is given by $$ x_{n-1}x_nx_{n+1}=x_{n-1}+(x_n)^{\beta-1}+x_{n+1} \qquad(\beta\in\mathbb{N}) $$ is explored. Since the equation above is arising from seed mutations
Externí odkaz:
http://arxiv.org/abs/1904.02853
We study one-dimensional neighborhood-five conservative cellular automata (CA), referred to as particle cellular automata five (particle CA5). We show that evolution equations for particle CA5s that belong to certain types can be obtained in the form
Externí odkaz:
http://arxiv.org/abs/1303.4045
We propose dynamical systems defined on algebra of lattices, which we call `lattice equations'. We give exact general solutions of initial value problems for a class of lattice equations, and evaluate the complexity of the solutions. Moreover we disc
Externí odkaz:
http://arxiv.org/abs/1302.2734
We concern with a special class of binary cellular automata, i.e., the so-called particle cellular automata (PCA) in the present paper. We first propose max-plus expressions to PCA of 4 neighbors. Then, by utilizing basic operations of the max-plus a
Externí odkaz:
http://arxiv.org/abs/1012.4887
We propose a discrete traffic flow model with discrete time. Continuum limit of this model is equivalent to the optimal velocity model. It has also an ultradiscrete limit and a piecewise-linear type of traffic flow model is obtained. Both models show
Externí odkaz:
http://arxiv.org/abs/0809.1265
We propose discrete mappings of second order that have a discrete analogue of Lyapunov function. The mappings are extensions of the integrable Quispel-Roberts-Thompson (QRT) mapping, and a discrete Lyapunov function of the mappings is identical to an
Externí odkaz:
http://arxiv.org/abs/nlin/0603005
We show that the third-order difference equations proposed by Hirota, Kimura and Yahagi are generated by a pair of second-order difference equations. In some cases, the pair of the second-order equations are equivalent to the Quispel-Robert-Thomson(Q
Externí odkaz:
http://arxiv.org/abs/nlin/0512072
Recently, we have proposed a {\em Euler-Lagrange transformation} for cellular automata(CA) by developing new transformation formulas. Applying this method to the Burgers CA(BCA), we have succeeded in obtaining the Lagrange representation of the BCA.
Externí odkaz:
http://arxiv.org/abs/nlin/0311057
Autor:
Nobe, Atsushi, Matsukidaira, Junta
Publikováno v:
数理解析研究所講究録別冊. :99-119
The one-parameter family of second order nonlinear difference equations each of which is given by xn-1xnxn+1 = xn-1 + (xn)β-1 + xn+1 (β ∈ N) is explored. Since the equation above is arising from seed mutations of a rank 2 cluster algebra, its sol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::b519a306d3b7a7bb6891fa01fad5ba45
http://hdl.handle.net/2433/260632
http://hdl.handle.net/2433/260632
