Graduate School of Science
Faculty of Science
e-mail: yk2000(at) kobe-u.ac.jp
Office: The Graduate School of Science and Technology Bldg 3, room 520
Mailing address: Department of Earth and Planetary Sciences, Graduate School of Science, Kobe University, Nada, Kobe 657-8501, Japan
Why does the fault exist in the crust ? Why is rock deformed
rheologically by stress ? Why do the deformation-fracturing phenomenon
have a variety of kinds of duality (e.g . Hodge duality) and symmetry
properties (e.g., Fractal) ? I study the deformation-fracture theory of
the crust including a fault defect field to clear the origin of the
duality and symmetry in deformation-fracturing processes
K. Yamasaki and T. Yajima, 2020, "KCC analysis of a one-dimensional system during catastrophic shifts of the Hill function: Douglas tensor in the non-equilibrium region", Int. J. Bifurcation and Chaos (accepted in press).
K. Yamasaki and T. Hasebe, 2020, "Duality of the Incompatibility Tensor", Materials transactions (accepted in press).
T. Yajima, S.Oiwa, K.Yamasaki, 2019, "Geometry of curves with fractional-order tangent vector and Frenet-Serret formulas", Fractional Calculus and Applied Analysis, 21, 1493-1505.
K. Yamasaki and T. Yajima, 2017, ”KCC analysis of the nornal form of typical bifurcations in one-dimensional dynamical system: geometrical invariants of saddle-node, transcritical, and pitchfork bifurcations”, Int. J. Bifurcation and Chaos, 27, 1750145 (14 pages).
K. Yamasaki and T. Yajima, 2016, “Differential geometric structure of non-equilibrium dynamics in competition and predation: Finsler geometry and KCC theory”, J. Dynamical Systems & Geometric Theor., 14, 137-153.
N. Nakamura and K. Yamasaki, 2016, “Feynman’s Proof and Non-Elastic Displacement Fields: Relationship Between Magnetic Field and Defects Field”, Int. J. Theoretical Physics, 12, 5186-5192.
T. Yajima and K. Yamasaki, 2016,“Jacobi stability for dynamical systems of two-dimensional second-order differential equations and application to overhead crane system”, Int. J. Geometrical Methods in Modern Phys., 13, 1650045.