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Author ID: arai.zin Recent zbMATH articles by "Arai, Zin"
Published as: Arai, Zin
Documents Indexed: 12 Publications since 2002
Co-Authors: 11 Co-Authors with 8 Joint Publications
316 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

11 Publications have been cited 109 times in 88 Documents Cited by Year
A database schema for the analysis of global dynamics of multiparameter systems. Zbl 1186.37021
Arai, Zin; Kalies, William; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe; Pilarczyk, Paweł
56
2009
On hyperbolic plateaus of the Hénon map. Zbl 1145.37023
Arai, Zin
13
2007
Rigorous computations of homoclinic tangencies. Zbl 1210.37008
Arai, Zin; Mischaikow, Konstantin
12
2006
On loops in the hyperbolic locus of the complex Hénon map and their monodromies. Zbl 1415.37060
Arai, Zin
6
2016
Recent development in rigorous computational methods in dynamical systems. Zbl 1184.65117
Arai, Zin; Kokubu, Hiroshi; Pilarczyk, Paweł
5
2009
On parameter loci of the Hénon family. Zbl 1467.37044
Arai, Zin; Ishii, Yutaka
5
2018
Graph-based topological approximation of saddle-node bifurcation in maps. Zbl 1254.37014
Arai, Zin; Gameiro, Marcio; Gedeon, Tomas; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
4
2012
Boundary of the horseshoe locus for the Hénon family. Zbl 1408.37059
Arai, Zin; Ishii, Yutaka; Takahasi, Hiroki
3
2018
Mayer-Vietoris sequences and coverage problems in sensor networks. Zbl 1233.68041
Arai, Zin; Hayashi, Kazunori; Hiraoka, Yasuaki
2
2011
A database schema for the analysis of global dynamics. Zbl 1183.37026
Arai, Zin; Kalies, William; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe; Pilarczyk, Pawel
1
2009
Tangencies and the Conley index. Zbl 1016.37007
Arai, Zin
1
2002
On parameter loci of the Hénon family. Zbl 1467.37044
Arai, Zin; Ishii, Yutaka
5
2018
Boundary of the horseshoe locus for the Hénon family. Zbl 1408.37059
Arai, Zin; Ishii, Yutaka; Takahasi, Hiroki
3
2018
On loops in the hyperbolic locus of the complex Hénon map and their monodromies. Zbl 1415.37060
Arai, Zin
6
2016
Graph-based topological approximation of saddle-node bifurcation in maps. Zbl 1254.37014
Arai, Zin; Gameiro, Marcio; Gedeon, Tomas; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe
4
2012
Mayer-Vietoris sequences and coverage problems in sensor networks. Zbl 1233.68041
Arai, Zin; Hayashi, Kazunori; Hiraoka, Yasuaki
2
2011
A database schema for the analysis of global dynamics of multiparameter systems. Zbl 1186.37021
Arai, Zin; Kalies, William; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe; Pilarczyk, Paweł
56
2009
Recent development in rigorous computational methods in dynamical systems. Zbl 1184.65117
Arai, Zin; Kokubu, Hiroshi; Pilarczyk, Paweł
5
2009
A database schema for the analysis of global dynamics. Zbl 1183.37026
Arai, Zin; Kalies, William; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe; Pilarczyk, Pawel
1
2009
On hyperbolic plateaus of the Hénon map. Zbl 1145.37023
Arai, Zin
13
2007
Rigorous computations of homoclinic tangencies. Zbl 1210.37008
Arai, Zin; Mischaikow, Konstantin
12
2006
Tangencies and the Conley index. Zbl 1016.37007
Arai, Zin
1
2002
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Cited by 135 Authors

17 Mischaikow, Konstantin
13 Pilarczyk, Paweł
12 Mrozek, Marian
8 Harker, Shaun
6 Gedeon, Tomáš
6 Kalies, William D.
6 Kokubu, Hiroshi
5 Mireles-James, Jason D.
5 Vandervorst, Robertus C. A. M.
4 Arai, Zin
4 Wanner, Thomas
3 Cummins, Bree
3 Day, Sarah L.
3 Ishii, Yutaka
3 Juda, Mateusz
3 Lipiński, Michał
3 Miyaji, Tomoyuki
2 Berwald, Jesse J.
2 Bush, Justin
2 Dellnitz, Michael
2 Dey, Tamal Krishna
2 Gameiro, Marcio F.
2 Ghrist, Robert W.
2 Graff, Grzegorz
2 Hiraoka, Yasuaki
2 Kasti, Dinesh
2 Kubica, Jacek
2 Lessard, Jean-Philippe
2 Nanda, Vidit
2 Peng, Chenchang
2 Shudo, Akira
2 Srzednicki, Roman
2 Takahasi, Hiroki
2 Weilandt, Frank
2 Ziessler, Adrian
1 Adams, Ronald L.
1 Aihara, Kazuyuki
1 Alexander, Zachary
1 Aoki, Takaaki
1 Asaoka, Masayuki
1 Batko, Bogdan
1 Bedford, Eric
1 Berger, Arno
1 Bradley, Elizabeth
1 Chiba, Yuki
1 Cowan, Wes
1 Curry, Justin Michael
1 Datseris, George
1 de Figueiredo, Luiz Henrique
1 de Oliveira, João Batista S.
1 Dłotko, Paweł
1 Dowling, K. Alex
1 Eckhardt, Bruno
1 Fiedler, Bernold
1 Fleurantin, Emmanuel
1 Fontaine, Marcus
1 Frongillo, Rafael M.
1 Galias, Zbigniew
1 Gerlach, Raphael
1 Goullet, Arnaud
1 Groothedde, C. M.
1 Gustafson, Paul P.
1 Hungria, Allan
1 Huttinga, Zane
1 Inatsu, Masaru
1 Inou, Hiroyuki
1 Kaczynski, Tomasz
1 Kapela, Tomasz
1 Kepley, Shane
1 Klus, Stefan
1 Knipl, Diána H.
1 Koda, Ryonosuke
1 Koditschek, Daniel E.
1 Kurosawa, Gen
1 Kusano, Genki
1 Kvalheim, Matthew D.
1 Li, Lin
1 Li, You
1 Liao, Kang-Ling
1 Liz, Eduardo
1 Luzzatto, Stefano
1 Matkowski, Janusz
1 Mazur, Marcin
1 Meiss, James D.
1 Mertig, Normann
1 Mitchell, Kevin A.
1 Miura, Keiji
1 Mochizuki, Atsushi
1 Mok, Kafung
1 Morita, Hidetoshi
1 Nakano, Akimasa
1 Naudot, Vincent
1 Nehab, Diego
1 Obayashi, Ippei
1 Ogawa, Toshiyuki
1 Oka, Hiroe
1 Oprocha, Piotr
1 Radu, Remus
1 Real, Pedro
1 Reinhardt, Christian
...and 35 more Authors
all top 5

Cited in 38 Serials

18 SIAM Journal on Applied Dynamical Systems
6 Chaos
6 Foundations of Computational Mathematics
5 Physica D
4 Journal of Dynamics and Differential Equations
4 Communications in Nonlinear Science and Numerical Simulation
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Journal of Computational Dynamics
2 Transactions of the American Mathematical Society
2 Discrete & Computational Geometry
2 Japan Journal of Industrial and Applied Mathematics
2 Qualitative Theory of Dynamical Systems
2 SIAM Journal on Applied Algebra and Geometry
2 Journal of Applied and Computational Topology
1 Computers & Mathematics with Applications
1 Communications in Mathematical Physics
1 Journal of Mathematical Analysis and Applications
1 Nonlinearity
1 Mathematics of Computation
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Proceedings of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Topology and its Applications
1 Ergodic Theory and Dynamical Systems
1 Applied Numerical Mathematics
1 Neural Networks
1 Applicable Algebra in Engineering, Communication and Computing
1 Experimental Mathematics
1 Advances in Computational Mathematics
1 Discrete and Continuous Dynamical Systems
1 Mathematical and Computer Modelling of Dynamical Systems
1 Discrete and Continuous Dynamical Systems. Series B
1 Advances in Difference Equations
1 Journal of Physics A: Mathematical and Theoretical
1 Journal of Theoretical Biology
1 JSIAM Letters
1 Arnold Mathematical Journal

Citations by Year