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Tokushima University > Faculty of Integrated Arts and Sciences > Department of Mathematical and Material Sciences > Mathematics and Computer Science Studies >
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Research Activity

His Web Page

Field of Study

Dynamical Systems

Subject of Study

Stability of non-invertible systems (hyperbolicity, nonuniform hyperbolicity)

Book / Paper

Book:

1. Kazumine Moriyasu and Kosuke Ono :
理工系の線形代数学入門,
サイエンス社, Tokyo, Dec. 2003.

Academic Paper (Judged Full Paper):

1. Kazumine Moriyasu, Sakai Kazuhiro and Sumi Naoya :
Diffeomorphisms with Shadowable Measures,
Axioms, Vol.93, No.7(4), 2018.
(DOI: 10.3390/axioms7040093,   Elsevier: Scopus)
2. Kazumine Moriyasu, Sakai Kazuhiro, Lee Keonhee and Lee Manseob :
Positively measure-expansive differentiable maps,
Journal of Mathematical Analysis and Applications, Vol.435, No.1, 492-507, 2016.
(DOI: 10.1016/j.jmaa.2015.10.034)
3. Kazumine Moriyasu, Sakai Kazuhiro and Yamamoto Kenichiro :
Regular maps with the specification property,
Discrete and Continuous Dynamical Systems. Series A, Vol.33, No.7, 2991-3009, 2013.
(DOI: 10.3934/dcds.2013.33.2991)
4. Keonhee Lee, Kazumine Moriyasu and Kazuhiro Sakai :
C1-stable shadowing diffeomorphisms,
Discrete and Continuous Dynamical Systems. Series A, Vol.22, No.3, 683-697, 2008.
(Elsevier: Scopus)
5. Kazumine Moriyasu, Kazuhiro Sakai and W. Sun :
C1-stably expansive flows,
Journal of Differential Equations, Vol.213, No.2, 352-367, 2005.
(DOI: 10.1016/j.jde.2004.08.003)
6. Kazumine Moriyasu and Kazuhiro Sakai :
A note on Mane's proof of the stability conjecture,
Far East Journal of Dynamical Systems, Vol.4, No.2, 97-106, 2002.
7. Kazumine Moriyasu and Masatoshi Oka :
Differentiable maps having uniformly shadowing property,
Topology and its Applications, Vol.122, No.1, 377-396, 2002.
(DOI: 10.1016/S0166-8641(01)00155-9,   Elsevier: Scopus)
8. Kazumine Moriyasu, Kazuhiro Sakai and Naoya Sumi :
Vector fields with topological stability,
Transactions of the American Mathematical Society, Vol.353, No.8, 3391-3408, 2001.
(Elsevier: Scopus)
9. Nobuo Aoki, Kazumine Moriyasu and Naoya Sumi :
C^1-maps having hyperbolic periodic points,
Fundamenta Mathematicae, Vol.169, 1-49, 2001.
10. Nobuo Aoki, Kazumine Moriyasu and Masatoshi Oka :
Differentiable maps having hyperbolic sets,
Topology and its Applications, Vol.82, 15-48, 1998.

Grants-in-Aid for Scientific Research (KAKEN Grants Database @ NII.ac.jp)

  • Study of probability density for the existence of orbits (Project/Area Number: 23540234 )
  • A study on the characterization of C^r-diffeomorphisms possessing the shadowing property (Project/Area Number: 17540187 )
  • An attempt toward a solution to the C^r-stability conjecture (r【greater than or equal】2) (Project/Area Number: 15540197 )
  • 高次元エノン写像の安定性 (Project/Area Number: 10740033 )
  • 非可逆系の安定性と分岐の研究 (Project/Area Number: 08740060 )
  • 非線形現象に対する微分及び関数方程式による研究 (Project/Area Number: 08640289 )
  • 多様体上の幾何構造および力学的構造の研究 (Project/Area Number: 07640120 )
  • 多様体上の幾何構造と関連する調和写像の研究 (Project/Area Number: 06640148 )
  • 一対一でない写像の安定性理論と分岐理論 (Project/Area Number: 05740061 )
  • Search by Researcher Number (60253184)