Tokushima UniversityGraduate School of Technology, Industrial and Social SciencesDivision of Science and TechnologyMathematical ScienceMathematics and Computer Sciences
Tokushima UniversityFaculty of Science and TechnologyDepartment of Science and TechnologyMathematical and Natural SciencesMathematics and Computer Sciences
Tokushima UniversityGraduate School of Integrated Arts and SciencesRegional ScienceAdvanced Studies in Arts and Sciences
Tokushima UniversityFaculty of Integrated Arts and SciencesDepartment of Mathematical and Material SciencesMathematics 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


1. Kazumine Moriyasu and Kosuke Ono :
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.
(Tokushima University Institutional Repository: 115010,   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 @

  • 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)