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Nakane, Shizuo

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Author ID: nakane.shizuo Recent zbMATH articles by "Nakane, Shizuo"
Published as: Nakane, S.; Nakane, Shizuo
Documents Indexed: 35 Publications since 1979

Publications by Year

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
13
2003
Formation of shocks for a single conservation law. Zbl 0681.35057
Nakane, Shizuo
11
1988
Propagation of singularities and uniqueness in the Cauchy problem at a class of doubly characteristic points. Zbl 0465.35055
Nakane, Shizuo
10
1981
On multicorns and unicorns. II: Bifurcations in spaces of antiholomorphic polynomials. Zbl 1457.37063
Mukherjee, Sabyasachi; Nakane, Shizuo; Schleicher, Dierk
9
2017
Connectedness of the tricorn. Zbl 0781.58026
Nakane, Shizuo
9
1993
Dynamics of a family of quadratic maps in the quanternion space. Zbl 1092.37518
Nakane, Shizuo
7
2005
Uniqueness and non uniqueness in the Cauchy problem for a class of operators of degenerate type. Zbl 0488.35002
Nakane, Shizuo
6
1984
Landing property of stretching rays for real cubic polynomials. Zbl 1077.37034
Komori, Yohei; Nakane, Shizuo
5
2004
External rays for polynomial maps of two variables associated with Chebyshev maps. Zbl 1139.37034
Nakane, S.
3
2008
Non-local connectivity of the tricorn and multicorns. Zbl 0989.37537
Nakane, Shizuo; Schleicher, Dierk
3
1995
Non-uniqueness in the Cauchy problem for partial differential operators with multiple characteristics. I. Zbl 0559.35001
Nakane, Shizuo
3
1984
Continuity of fiber Julia sets for Axiom A polynomial skew products on \(\mathbb{C}^2\). Zbl 1326.32029
Nakane, S.
2
2015
Postcritical sets and saddle basic sets for axiom A polynomial skew products on \(\mathbb {C}^2\). Zbl 1305.37014
Nakane, Shizuo
2
2013
Non-uniqueness in the Cauchy problem for partial differential operators with multiple characteristics. Zbl 0527.35005
Nakane, Shizuo
2
1983
An implosion arising from saddle connection in 2D complex dynamics. Zbl 1422.32023
Inou, Hiroyuki; Nakane, Shizuo
1
2019
Branner-Hubbard-Lavaurs deformations for real cubic polynomials with a parabolic fixed point. Zbl 1190.37055
Nakane, Shizuo
1
2009
On quasiconformal equivalences on the boundary of the tricorn. Zbl 0924.58070
Nakane, Shizuo
1
1992
A bifurcation phenomenon for a Dirichlet problem with an exponential nonlinearity. Zbl 0773.35019
Nakane, Shizuo
1
1991
Formation of singularities for Hamilton-Jacobi equation with several space variables. Zbl 0743.35043
Nakane, Shizuo
1
1991
Uniqueness and nonuniqueness in the Cauchy problem for a class of operators of degenerate type. Zbl 0519.35012
Nakane, Shizuo
1
1982
P-convexity with respect to differential operators which act on linear subspaces. Zbl 0446.35081
Nakane, Shizuo
1
1979
An implosion arising from saddle connection in 2D complex dynamics. Zbl 1422.32023
Inou, Hiroyuki; Nakane, Shizuo
1
2019
On multicorns and unicorns. II: Bifurcations in spaces of antiholomorphic polynomials. Zbl 1457.37063
Mukherjee, Sabyasachi; Nakane, Shizuo; Schleicher, Dierk
9
2017
Continuity of fiber Julia sets for Axiom A polynomial skew products on \(\mathbb{C}^2\). Zbl 1326.32029
Nakane, S.
2
2015
Postcritical sets and saddle basic sets for axiom A polynomial skew products on \(\mathbb {C}^2\). Zbl 1305.37014
Nakane, Shizuo
2
2013
Branner-Hubbard-Lavaurs deformations for real cubic polynomials with a parabolic fixed point. Zbl 1190.37055
Nakane, Shizuo
1
2009
External rays for polynomial maps of two variables associated with Chebyshev maps. Zbl 1139.37034
Nakane, S.
3
2008
Dynamics of a family of quadratic maps in the quanternion space. Zbl 1092.37518
Nakane, Shizuo
7
2005
Landing property of stretching rays for real cubic polynomials. Zbl 1077.37034
Komori, Yohei; Nakane, Shizuo
5
2004
On multicorns and unicorns. I: Antiholomorphic dynamics, hyperbolic components and real cubic polynomials. Zbl 1057.37047
Nakane, Shizuo; Schleicher, Dierk
13
2003
Non-local connectivity of the tricorn and multicorns. Zbl 0989.37537
Nakane, Shizuo; Schleicher, Dierk
3
1995
Connectedness of the tricorn. Zbl 0781.58026
Nakane, Shizuo
9
1993
On quasiconformal equivalences on the boundary of the tricorn. Zbl 0924.58070
Nakane, Shizuo
1
1992
A bifurcation phenomenon for a Dirichlet problem with an exponential nonlinearity. Zbl 0773.35019
Nakane, Shizuo
1
1991
Formation of singularities for Hamilton-Jacobi equation with several space variables. Zbl 0743.35043
Nakane, Shizuo
1
1991
Formation of shocks for a single conservation law. Zbl 0681.35057
Nakane, Shizuo
11
1988
Uniqueness and non uniqueness in the Cauchy problem for a class of operators of degenerate type. Zbl 0488.35002
Nakane, Shizuo
6
1984
Non-uniqueness in the Cauchy problem for partial differential operators with multiple characteristics. I. Zbl 0559.35001
Nakane, Shizuo
3
1984
Non-uniqueness in the Cauchy problem for partial differential operators with multiple characteristics. Zbl 0527.35005
Nakane, Shizuo
2
1983
Uniqueness and nonuniqueness in the Cauchy problem for a class of operators of degenerate type. Zbl 0519.35012
Nakane, Shizuo
1
1982
Propagation of singularities and uniqueness in the Cauchy problem at a class of doubly characteristic points. Zbl 0465.35055
Nakane, Shizuo
10
1981
P-convexity with respect to differential operators which act on linear subspaces. Zbl 0446.35081
Nakane, Shizuo
1
1979
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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

Citations by Year