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
T. Yajima and K.
Yamasaki, 2016, Jacobi stability for dynamical systems of two-dimensional second-order differential equations and application to overhead crane system,
International Journal of Geometric Methods in Modern Physics (accepted in press).
K. Yamasaki and T. Yajima, 2015, Fractional Calculus Approach to the Deformation Field
near the Fault Zone, A. J. Earth Science, 3, 1018
K. Yamasaki and T.
Yajima, 2013, Lotka-Volterra system and KCC theory: Differential
geometric structure of competitions and predations”, Nonlinear Analysis:
Real World Applications, 14, 1845-1853.
K. Yamasaki, K.Z. Nanjo, and S. Chiba, 2012, Symmetry and entropy of one-dimensional
legal cellular automata, Complex Systems, 20, 352-361.
K. Yamasaki and
K.Z. Nanjo, 2012, Symmetry and entropy of acoustic emission patterns in a
rock-fracture experiment, Theory and Uses of Acoustic Emissions,