年別の研究成果
年別の研究成果
- 33 件
検索結果
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2020
Max-plus generalization of Conway’s game of life
Sakata, K., Tanaka, Y. & Takahashi, D., 2020, In: Complex Systems. 29, 1, p. 63-76 14 p.研究成果 › 査読
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2014
On solutions to evolution equations defined by lattice operators
Ikegami, T., Takahashi, D. & Matsukidaira, J., 2014 2, In: Japan Journal of Industrial and Applied Mathematics. 31, 1, p. 211-230 20 p.研究成果 › 査読
1 被引用数 (Scopus) -
2013
Max-min-plus expressions for one-dimensional particle cellular automata obtained from a fundamental diagram
Okumura, T., Matsukidaira, J. & Takahashi, D., 2013 7 26, In: Journal of Physics A: Mathematical and Theoretical. 46, 29, 295101.研究成果 › 査読
1 被引用数 (Scopus) -
2011
Max-plus analysis on some binary particle systems
Takahashi, D., Matsukidaira, J., Hara, H. & Feng, B. F., 2011 4 1, In: Journal of Physics A: Mathematical and Theoretical. 44, 13, 135102.研究成果 › 査読
2 被引用数 (Scopus) -
Ultradiscrete Plücker relation specialized for soliton solutions
Nagai, H. & Takahashi, D., 2011 3 4, In: Journal of Physics A: Mathematical and Theoretical. 44, 9, 095202.研究成果 › 査読
4 被引用数 (Scopus) -
2010
Bilinear equations and Bäcklund transformation for a generalized ultradiscrete soliton solution
Nagai, H. & Takahashi, D., 2010 9 17, In: Journal of Physics A: Mathematical and Theoretical. 43, 37, 375202.研究成果 › 査読
5 被引用数 (Scopus) -
2007
Ultradiscrete soliton solution of permanent type
Takahashi, D. & Hirota, R., 2007 10 1, In: journal of the physical society of japan. 76, 10, 104007.研究成果 › 査読
22 被引用数 (Scopus) -
2006
Discrete mappings with an explicit discrete Lyapunov function related to integrable mappings
Inoue, H., Takahashi, D. & Matsukidaira, J., 2006 5 1, In: Physica D: Nonlinear Phenomena. 217, 1, p. 22-30 9 p.研究成果 › 査読
2 被引用数 (Scopus) -
Third-order integrable difference equations generated by a pair of second-order equations
Matsukidaira, J. & Takahashi, D., 2006 2 3, In: Journal of Physics A: Mathematical and General. 39, 5, p. 1151-1161 11 p.研究成果 › 査読
12 被引用数 (Scopus) -
2005
Ultradiscrete Hamiltonian systems
Iwao, M. & Takahashi, D., 2005 6, In: Glasgow Mathematical Journal. 47 A, p. 87-97 11 p.研究成果: Article › 査読
Open Access1 被引用数 (Scopus) -
Ultradiscretization of the Tzitzeica equation
Hirota, R. & Takahashi, D., 2005 6, In: Glasgow Mathematical Journal. 47 A, p. 77-85 9 p.研究成果: Article › 査読
Open Access7 被引用数 (Scopus) -
2004
A Stochastic Model for Solitons
Itoh, Y., Mahmoud, H. M. & Takahashi, D., 2004 1 1, In: Random Structures and Algorithms. 24, 1, p. 51-64 14 p.研究成果: Article › 査読
2 被引用数 (Scopus) -
2002
Metastable flows in a two-lane traffic model equivalent to extended Burgers cellular automaton
Fukui, M., Nishinari, K., Takahashi, D. & Ishibashi, Y., 2002 1 1, In: Physica A: Statistical Mechanics and its Applications. 303, 1-2, p. 226-238 13 p.研究成果: Article › 査読
15 被引用数 (Scopus) -
2001
On the pattern formation mechanism of (2 + 1)D max-plus models
Takahashi, D., Shida, A. & Usami, M., 2001 12 7, In: Journal of Physics A: Mathematical and General. 34, 48, p. 10715-10726 12 p.研究成果 › 査読
7 被引用数 (Scopus) -
Two-dimensional Burgers cellular automaton
Nishinari, K., Matsukidaira, J. & Takahashi, D., 2001 8, In: journal of the physical society of japan. 70, 8, p. 2267-2272 6 p.研究成果: Article › 査読
6 被引用数 (Scopus) -
2000
Box and ball system as a realization of ultradiscrete nonautonomous KP equation
Tokihiro, T., Takahashi, D. & Matsukidaira, J., 2000 1 28, In: Journal of Physics A: Mathematical and General. 33, 3, p. 607-619 13 p.研究成果 › 査読
40 被引用数 (Scopus) -
Multi-value cellular automaton models and metastable states in a congested phase
Nishinari, K. & Takahashi, D., 2000 11 3, In: Journal of Physics A: Mathematical and General. 33, 43, p. 7709-7720 12 p.研究成果 › 査読
75 被引用数 (Scopus) -
1999
A new deterministic CA model for traffic flow with multiple states
Nishinari, K. & Takahashi, D., 1999 1 8, In: Journal of Physics A: Mathematical and General. 32, 1, p. 93-104 12 p.研究成果 › 査読
42 被引用数 (Scopus) -
Soliton cellular automaton, Toda molecule equation and sorting algorithm
Nagai, A., Takahashi, D. & Tokihiro, T., 1999 5 17, In: Physics Letters, Section A: General, Atomic and Solid State Physics. 255, 4-6, p. 265-271 7 p.研究成果: Article › 査読
21 被引用数 (Scopus) -
1998
Analytical properties of ultradiscrete Burgers equation and rule-184 cellular automaton
Nishinari, K. & Takahashi, D., 1998 6 19, In: Journal of Physics A: Mathematical and General. 31, 24, p. 5439-5450 12 p.研究成果 › 査読
97 被引用数 (Scopus) -
The ultimate discretisation of the Painlevé equations
Ramani, A., Takahashi, D., Grammaticos, B. & Ohta, Y., 1998, In: Physica D: Nonlinear Phenomena. 114, 3-4, p. 185-196 12 p.研究成果: Article › 査読
18 被引用数 (Scopus) -
1997
Box and ball system with a carrier and ultradiscrete modified KdV equation
Takahashi, D. & Matsukidaira, J., 1997 11 7, In: Journal of Physics A: Mathematical and General. 30, 21, p. L733-L739研究成果 › 査読
69 被引用数 (Scopus) -
Cellular automata and ultra-discrete Painlevé equations
Grammaticos, B., Ohta, Y., Ramani, A., Takahashi, D. & Tamizhmani, K. M., 1997 2 10, In: Physics Letters, Section A: General, Atomic and Solid State Physics. 226, 1-2, p. 53-58 6 p.研究成果: Article › 査読
33 被引用数 (Scopus) -
Constructing solutions to the ultradiscrete Painlevé equations
Takahashi, D., Tokihiro, T., Grammaticos, B., Ohta, Y. & Ramani, A., 1997 11 21, In: Journal of Physics A: Mathematical and General. 30, 22, p. 7953-7966 14 p.研究成果: Article › 査読
31 被引用数 (Scopus) -
From integrability to chaos in a Lotka-Volterra cellular automaton
Hirota, R., Iwao, M., Ramani, A., Takahashi, D., Grammaticos, B. & Ohta, Y., 1997 12 1, In: Physics Letters, Section A: General, Atomic and Solid State Physics. 236, 1-2, p. 39-44 6 p.研究成果: Article › 査読
21 被引用数 (Scopus) -
Threshold sheath potential for the nucleation and growth of cubic boron nitride by inductively coupled plasma enhanced chemical-vapor deposition
Amagi, S., Takahashi, D. & Yoshida, T., 1997 2 24, In: Applied Physics Letters. 70, 8, p. 946-948 3 p.研究成果 › 査読
19 被引用数 (Scopus) -
Toda-type cellular automaton and its N-soliton solution
Matsukidaira, J., Satsuma, J., Takahashi, D., Tokihiro, T. & Torii, M., 1997 2 3, In: Physics Letters, Section A: General, Atomic and Solid State Physics. 225, 4-6, p. 287-295 9 p.研究成果 › 査読
73 被引用数 (Scopus) -
1996
Combinatorial representation of invariants of a soliton cellular automaton
Torii, M., Takahashi, D. & Satsuma, J., 1996, In: Physica D: Nonlinear Phenomena. 92, 3-4, p. 209-220 12 p.研究成果: Article › 査読
32 被引用数 (Scopus) -
From soliton equations to integrable cellular automata through a limiting procedure
Tokihiro, T., Takahashi, D., Matsukidaira, J. & Satsuma, J., 1996 4 29, In: Physical Review Letters. 76, 18, p. 3247-3250 4 p.研究成果 › 査読
305 被引用数 (Scopus) -
1995
On discrete soliton equations related to cellular automata
Takahashi, D. & Matsukidaira, J., 1995 12 18, In: Physics Letters A. 209, 3-4, p. 184-188 5 p.研究成果 › 査読
32 被引用数 (Scopus) -
1990
A Soliton Cellular Automaton
Takahashi, D. & Satsuma, J., 1990 1 1, In: journal of the physical society of japan. 59, 10, p. 3514-3519 6 p.研究成果: Article › 査読
201 被引用数 (Scopus) -
Properties of the Magma and Modified Magma Equations
Takahashi, D., Satsuma, J. & Sachs, J. R., 1990 1 1, In: journal of the physical society of japan. 59, 6, p. 1941-1953 13 p.研究成果 › 査読
13 被引用数 (Scopus) -
1988
Explicit Solutions of Magma Equation
Takahashi, D. & Satsuma, J., 1988 1 1, In: journal of the physical society of japan. 57, 2, p. 417-421 5 p.研究成果 › 査読
28 被引用数 (Scopus)