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Professor : Moriyasu, Kazumine |
○ | Dynamical Systems |
○ | Stability of non-invertible systems (hyperbolicity, nonuniform hyperbolicity) |
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. |
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) |
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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) |
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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) |
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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) |
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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) |
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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. |
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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) |
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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) |
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9. | Nobuo Aoki, Kazumine Moriyasu and Naoya Sumi : C^1-maps having hyperbolic periodic points, Fundamenta Mathematicae, Vol.169, 1-49, 2001. |
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10. | Nobuo Aoki, Kazumine Moriyasu and Masatoshi Oka : Differentiable maps having hyperbolic sets, Topology and its Applications, Vol.82, 15-48, 1998. |