Research keywords (4):
フィンスラー幾何学
, 連続体力学
, 非線形力学系
, 微分幾何学
Research theme for competitive and other funds (1):
2013 - 2016 Theoretical study of inhomogeneous-nonlinear deformation mechanics in earth continuum
Papers (41):
Takahiro Yajima, Takuya Sakurada, Hiroyuki Nagahama. Generalization of KCC-theory to fractional dynamical systems and application to viscoelastic oscillations. Physica D: Nonlinear Phenomena. 2024. 134193-134193
T. Yajima, H. Nagahama. Geometric structures of micropolar continuum with elastic and plastic deformations based on generalized Finsler space. Mathematics and Mechanics of Solids. 2023. Accepted
Kazuhito Yamasaki, Takahiro Yajima. Kosambi-Cartan-Chern Analysis of the Nonequilibrium Singular Point in One-Dimensional Elementary Catastrophe. International Journal of Bifurcation and Chaos. 2022. 32. 04
Kazuhito Yamasaki, Takahiro Yajima. Kosambi-Cartan-Chern Stability in the Intermediate Nonequilibrium Region of the Brusselator Model. International Journal of Bifurcation and Chaos. 2022. 32. 02
Takahiro Yajima, Hiroyuki Nagahama. Connection Structures of Topological Singularity in Micromechanics from a Viewpoint of Generalized Finsler Space. Annalen der Physik. 2020. 2000306-2000306
Finsler geometry of ray paths in weakly anisotropic media
(G-COE Symposium 2012, Achievements of G-COE Program for Earth Planetary Dynamics and the Future Perspective 2012)
Geometry of systems of differential equations with fractional order derivatives and its applications to dynamical systems
(6th World Congress of Nonlinear Analysts 2012)