Edit Profile (opens in new tab) Arai, Zin Co-Author Distance Author ID: 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 all top 5 Co-Authors 4 single-authored 4 Kokubu, Hiroshi 4 Mischaikow, Konstantin 3 Oka, Hiroe 3 Pilarczyk, Paweł 2 Ishii, Yutaka 2 Kalies, William D. 1 Gameiro, Marcio F. 1 Gedeon, Tomáš 1 Hayashi, Kazunori 1 Hiraoka, Yasuaki 1 Takahasi, Hiroki all top 5 Serials 3 SIAM Journal on Applied Dynamical Systems 2 Japan Journal of Industrial and Applied Mathematics 1 Communications in Mathematical Physics 1 Journal of Mathematics of Kyoto University 1 Ergodic Theory and Dynamical Systems 1 Physica D 1 Experimental Mathematics 1 RIMS Kôkyûroku Bessatsu all top 5 Fields 11 Dynamical systems and ergodic theory (37-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Manifolds and cell complexes (57-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications 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 all cited Publications top 5 cited Publications all top 5 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 all top 5 Cited in 32 Fields 68 Dynamical systems and ergodic theory (37-XX) 20 Numerical analysis (65-XX) 14 Algebraic topology (55-XX) 12 Biology and other natural sciences (92-XX) 8 Ordinary differential equations (34-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 4 Computer science (68-XX) 3 Combinatorics (05-XX) 3 Partial differential equations (35-XX) 3 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 General topology (54-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) Citations by Year