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Nakane, Shizuo

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 Author ID: nakane.shizuo Published as: Nakane, S.; Nakane, Shizuo
 Documents Indexed: 35 Publications since 1979

Co-Authors

 29 single-authored 3 Schleicher, Dierk 2 Komori, Yohei 1 Inou, Hiroyuki 1 Mukherjee, Sabyasachi
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Serials

 5 Proceedings of the Japan Academy. Series A 4 RIMS Kokyuroku 3 Ergodic Theory and Dynamical Systems 2 Journal of Mathematical Analysis and Applications 2 Communications in Partial Differential Equations 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Conformal Geometry and Dynamics 2 Science Bulletin of Josai University 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Journal of the Mathematical Society of Japan 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 SIAM Journal on Mathematical Analysis 1 Journal of Difference Equations and Applications 1 JP Journal of Solids and Structures
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Fields

 20 Dynamical systems and ergodic theory (37-XX) 13 Partial differential equations (35-XX) 6 Functions of a complex variable (30-XX) 4 Several complex variables and analytic spaces (32-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX)

Citations contained in zbMATH Open

21 Publications have been cited 92 times in 67 Documents Cited by Year
On multicorns and unicorns. I: Antiholomorphic dynamics, hyperbolic components and real cubic polynomials. Zbl 1057.37047
Nakane, Shizuo; Schleicher, Dierk
2003
Formation of shocks for a single conservation law. Zbl 0681.35057
Nakane, Shizuo
1988
Propagation of singularities and uniqueness in the Cauchy problem at a class of doubly characteristic points. Zbl 0465.35055
Nakane, Shizuo
1981
On multicorns and unicorns. II: Bifurcations in spaces of antiholomorphic polynomials. Zbl 1457.37063
Mukherjee, Sabyasachi; Nakane, Shizuo; Schleicher, Dierk
2017
Connectedness of the tricorn. Zbl 0781.58026
Nakane, Shizuo
1993
Dynamics of a family of quadratic maps in the quanternion space. Zbl 1092.37518
Nakane, Shizuo
2005
Uniqueness and non uniqueness in the Cauchy problem for a class of operators of degenerate type. Zbl 0488.35002
Nakane, Shizuo
1984
Landing property of stretching rays for real cubic polynomials. Zbl 1077.37034
Komori, Yohei; Nakane, Shizuo
2004
External rays for polynomial maps of two variables associated with Chebyshev maps. Zbl 1139.37034
Nakane, S.
2008
Non-local connectivity of the tricorn and multicorns. Zbl 0989.37537
Nakane, Shizuo; Schleicher, Dierk
1995
Non-uniqueness in the Cauchy problem for partial differential operators with multiple characteristics. I. Zbl 0559.35001
Nakane, Shizuo
1984
Continuity of fiber Julia sets for Axiom A polynomial skew products on $$\mathbb{C}^2$$. Zbl 1326.32029
Nakane, S.
2015
Postcritical sets and saddle basic sets for axiom A polynomial skew products on $$\mathbb {C}^2$$. Zbl 1305.37014
Nakane, Shizuo
2013
Non-uniqueness in the Cauchy problem for partial differential operators with multiple characteristics. Zbl 0527.35005
Nakane, Shizuo
1983
An implosion arising from saddle connection in 2D complex dynamics. Zbl 1422.32023
Inou, Hiroyuki; Nakane, Shizuo
2019
Branner-Hubbard-Lavaurs deformations for real cubic polynomials with a parabolic fixed point. Zbl 1190.37055
Nakane, Shizuo
2009
On quasiconformal equivalences on the boundary of the tricorn. Zbl 0924.58070
Nakane, Shizuo
1992
A bifurcation phenomenon for a Dirichlet problem with an exponential nonlinearity. Zbl 0773.35019
Nakane, Shizuo
1991
Formation of singularities for Hamilton-Jacobi equation with several space variables. Zbl 0743.35043
Nakane, Shizuo
1991
Uniqueness and nonuniqueness in the Cauchy problem for a class of operators of degenerate type. Zbl 0519.35012
Nakane, Shizuo
1982
P-convexity with respect to differential operators which act on linear subspaces. Zbl 0446.35081
Nakane, Shizuo
1979
An implosion arising from saddle connection in 2D complex dynamics. Zbl 1422.32023
Inou, Hiroyuki; Nakane, Shizuo
2019
On multicorns and unicorns. II: Bifurcations in spaces of antiholomorphic polynomials. Zbl 1457.37063
Mukherjee, Sabyasachi; Nakane, Shizuo; Schleicher, Dierk
2017
Continuity of fiber Julia sets for Axiom A polynomial skew products on $$\mathbb{C}^2$$. Zbl 1326.32029
Nakane, S.
2015
Postcritical sets and saddle basic sets for axiom A polynomial skew products on $$\mathbb {C}^2$$. Zbl 1305.37014
Nakane, Shizuo
2013
Branner-Hubbard-Lavaurs deformations for real cubic polynomials with a parabolic fixed point. Zbl 1190.37055
Nakane, Shizuo
2009
External rays for polynomial maps of two variables associated with Chebyshev maps. Zbl 1139.37034
Nakane, S.
2008
Dynamics of a family of quadratic maps in the quanternion space. Zbl 1092.37518
Nakane, Shizuo
2005
Landing property of stretching rays for real cubic polynomials. Zbl 1077.37034
Komori, Yohei; Nakane, Shizuo
2004
On multicorns and unicorns. I: Antiholomorphic dynamics, hyperbolic components and real cubic polynomials. Zbl 1057.37047
Nakane, Shizuo; Schleicher, Dierk
2003
Non-local connectivity of the tricorn and multicorns. Zbl 0989.37537
Nakane, Shizuo; Schleicher, Dierk
1995
Connectedness of the tricorn. Zbl 0781.58026
Nakane, Shizuo
1993
On quasiconformal equivalences on the boundary of the tricorn. Zbl 0924.58070
Nakane, Shizuo
1992
A bifurcation phenomenon for a Dirichlet problem with an exponential nonlinearity. Zbl 0773.35019
Nakane, Shizuo
1991
Formation of singularities for Hamilton-Jacobi equation with several space variables. Zbl 0743.35043
Nakane, Shizuo
1991
Formation of shocks for a single conservation law. Zbl 0681.35057
Nakane, Shizuo
1988
Uniqueness and non uniqueness in the Cauchy problem for a class of operators of degenerate type. Zbl 0488.35002
Nakane, Shizuo
1984
Non-uniqueness in the Cauchy problem for partial differential operators with multiple characteristics. I. Zbl 0559.35001
Nakane, Shizuo
1984
Non-uniqueness in the Cauchy problem for partial differential operators with multiple characteristics. Zbl 0527.35005
Nakane, Shizuo
1983
Uniqueness and nonuniqueness in the Cauchy problem for a class of operators of degenerate type. Zbl 0519.35012
Nakane, Shizuo
1982
Propagation of singularities and uniqueness in the Cauchy problem at a class of doubly characteristic points. Zbl 0465.35055
Nakane, Shizuo
1981
P-convexity with respect to differential operators which act on linear subspaces. Zbl 0446.35081
Nakane, Shizuo
1979
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Cited by 75 Authors

 10 Nakane, Shizuo 6 Mukherjee, Sabyasachi 4 Inou, Hiroyuki 4 Kong, Dexing 3 Sun, Yuanyuan 3 Uchikoshi, Keisuke 3 Wei, Changhua 2 Amano, Kazuo 2 Beals, Richard W. 2 Bedford, Eric 2 Del Santo, Daniele 2 Falcão, Maria Irene 2 Kannai, Yakar 2 Kim, Kyounghee 2 Miranda, Fernando 2 Nakamura, Gen 2 Schleicher, Dierk 2 Severino, Ricardo 2 Soares, Maria Joana 2 Takasaki, Kanehisa 2 Tsuji, Mikio 2 Wang, Xingyuan 1 Bergweiler, Walter 1 Blokh, Alexander M. 1 Bowman, Joshua P. 1 Canela, Jordi 1 Chen, Shuxing 1 Colombini, Ferruccio 1 Correia Ramos, Carlos 1 Dai, Wenrong 1 Danilov, V. G. 1 DeMarco, Laura Grace 1 De Zotti, Alexandre 1 Dong, Liming 1 Epstein, Adam Lawrence 1 Eremenko, Alexandre Émmanuilovich 1 Fagella, Núria 1 Fujii, Shin-ichi 1 Garijo, Antonio 1 Ha Tien Ngoan 1 Hou, Jialin 1 Izumiya, Shyuichi 1 Kalmes, Thomas 1 Kang, Shin Min 1 Kawahira, Tomoki 1 Kossioris, Georgios T. 1 Krauskopf, Bernd 1 Kriete, Hartje 1 Kwun, Young Chel 1 Latif, Abdul 1 Lau, Eike 1 Li, Peng 1 Liu, Ping 1 Lodge, Russell 1 Lu, Zhixing 1 Lyubich, Mikhail Yur’evich 1 Martins, Nuno M. C. 1 Misiurewicz, Michał 1 Mitrovic, Darko 1 Mizoguchi, Noriko 1 Nascimento Baptista, Alexandra 1 Oaku, Toshinori 1 Oversteegen, Lex G. 1 Pérez, Rodrigo A. 1 Pilgrim, Kevin M. 1 Poirier, Alfredo 1 Ptacek, Ross 1 Rafiq, Arif 1 Shahid, Abdul Aziz 1 Suzuki, Takashi 1 Timorin, Vladlen Anatol’evich 1 Yampolsky, Michael 1 Yazawa, Hikaru 1 Zhang, Qiang 1 Zhang, Xiuming
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Cited in 42 Serials

 6 Proceedings of the Japan Academy. Series A 5 Communications in Partial Differential Equations 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Proceedings of the American Mathematical Society 3 Conformal Geometry and Dynamics 2 Inventiones Mathematicae 2 Journal of Differential Equations 2 Ergodic Theory and Dynamical Systems 2 International Journal of Computer Mathematics 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Experimental Mathematics 2 Journal of Difference Equations and Applications 2 Discrete and Continuous Dynamical Systems 2 Journal of Hyperbolic Differential Equations 1 American Mathematical Monthly 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Arkiv för Matematik 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 The Mathematical Intelligencer 1 Acta Mathematica 1 Advances in Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Indiana University Mathematics Journal 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tokyo Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Science in China. Series A 1 The Journal of Geometric Analysis 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Documenta Mathematica 1 Nonlinear Dynamics 1 Revista Matemática Complutense 1 Analysis and Mathematical Physics 1 Journal of Function Spaces 1 Nonlinear Analysis. Theory, Methods & Applications
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Cited in 17 Fields

 33 Dynamical systems and ergodic theory (37-XX) 31 Partial differential equations (35-XX) 10 Functions of a complex variable (30-XX) 6 Measure and integration (28-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Fluid mechanics (76-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Differential geometry (53-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Relativity and gravitational theory (83-XX)