-
Generalization of KCC-theory to fractional dynamical systems and application to viscoelastic oscillations
Reviewed
Takahiro Yajima, Takuya Sakurada and Hiroyuki Nagahama
Physica D
464
134193
2024
-
Application of Jacobi stability analysis to a first-order dynamical system: relation between nonlinearizability of one-dimensional differential equation and Jacobi stable region
Reviewed
Yuma Hirakui and Takahiro Yajima
Journal of Physics Communications
8
035001
2024.3
-
Classification of time-optimal paths under an external force based on Jacobi stability in Finsler space
Reviewed
Takahiro Yajima and Yuna Tazawa
Journal of Optimization Theory and Applications
200
1216
-
1238
2024.2
-
Geometric structures of micropolar continuum with elastic and plastic deformations based on generalized Finsler space
Reviewed
Takahiro Yajima and Hiroyuki Nagahama
Mathematics and Mechanics of Solids
29
(
2
)
327
-
348
2024.2
-
Linear Stability of Self-Similar Motions of Three Point Vortices in a Generalized Two-Dimensional Fluid System
Reviewed
Takahiro Iwayama and Takahiro Yajima
Journal of the Physical Society of Japan
92
(
8
)
084401
2023.7
-
Hodge duality between stress space and strain space in anisotropic media
Reviewed
Takahiro Yajima and Hiroyuki Nagahama
Zeitschrift für Angewandte Mathematik und Mechanik
102
(
12
)
e202100244
2022.9
-
Kosambi-Cartan-Chern Analysis of the Nonequilibrium Singular Point in One-Dimensional Elementary Catastrophe
Reviewed
Kazuhito Yamasaki and Takahiro Yajima
International Journal of Bifurcation and Chaos
32
(
4
)
2250053
2022.3
-
Kosambi-Cartan-Chern Stability in the Intermediate Nonequilibrium Region of the Brusselator Model
Reviewed
Kazuhito Yamasaki and Takahiro Yajima
International Journal of Bifurcation and Chaos
32
(
2
)
2250016
2022.2
-
Geometrical Classification of Self-Similar Motion of Two-Dimensional Three Point Vortex System by Deviation Curvature on Jacobi Field
Reviewed
Hirakui Yuma Takahiro Yajima
Advances in Mathematical Physics
2021
-
Geometric interpretation of maximal Lyapunov exponent based on deviation curvature
Reviewed
Takahiro Yajima Shintaro Nakase
International Journal of Geometric Methods in Modern Physics
2021.1
-
KCC Analysis of a One-Dimensional System During Catastrophic Shift of the Hill Function: Douglas Tensor in the Nonequilibrium Region
Reviewed
Kazuhito Yamasaki Takahiro Yajima
International Journal of Bifurcation and Chaos
2020
-
Geometry of curves with fractional-order tangent vector and Frenet-Serret formulas
Reviewed
Takahiro Yajima Shunya Oiwa Kazuhito Yamasaki
Fractional Calculus and Applied Analysis
6
(
21
)
2019.2
-
Non-holonomic geometric structures of rigid body system in Riemann-Cartan space
Reviewed
Takahiro Yajima Kazuhito Yamasaki Hiroyuki Nagahama
Journal of Physics Communications
8
(
2
)
2018
-
Geometric Structures of Fractional Dynamical Systems in Non-Riemannian Space: Applications to Mechanical and Electromechanical Systems
Reviewed
Takahiro Yajima Hiroyuki Nagahama
Annalen der Physik
530
(
5
)
1700391
2018.3
-
Jacobi stability analysis and chaotic behavior of nonlinear double pendulum
Reviewed
Shunya Oiwa Takahiro Yajima
International Journal of Geometric Methods in Modern Physics
14
1750176
2017
-
KCC Analysis of the Normal Form of Typical Bifurcations in One-Dimensional Dynamical Systems: Geometrical Invariants of Saddle-Node, Transcritical, and Pitchfork Bifurcations
Reviewed
Kazuhito Yamasaki Takahiro Yajima
International Journal of Bifurcation and Chaos
27
1750145
2017
-
Finsler geometry of topological singularities for multi‐valued fields: Applications to continuum theory of defects
Reviewed
Takahiro Yajima Hiroyuki Nagahama
Annalen der Physik
528
(
11-12
)
845
-
851
2016.12
-
Differential geometric structure of non-equilibrium dynamics in competition and predation: Finsler geometry and KCC theory
Reviewed
Kazuhito Yamasaki Takahiro Yajima
Journal of Dynamical Systems and Geometric Theories
14
(
2
)
137
-
153
2016.10
-
Jacobi stability for dynamical systems of two-dimensional second-order differential equations and application to overhead crane system
Reviewed
Takahiro Yajima Kazuhito Yamasaki
International Journal of Geometric Methods in Modern Physics
4
(
13
)
1650045
2016
-
Fractional Calculus Approach to the Deformation Field near the Fault Zone
Reviewed
Kazuhito Yamasaki Takahiro Yajima
Austin Journal of Earth Science
3
(
2
)
1018
2015
-
Finsler geometry for nonlinear path of fluids flow through inhomogeneous media
Reviewed
Takahiro Yajima Hiroyuki Nagahama
Nonlinear Analysis: Real World Applications
25
(
1
)
1
-
8
2015
-
Lotka-Volterra system and KCC theory: Differential geometric structure of competitions and predations
Reviewed
Kazuhito Yamasaki Takahiro Yajima
Nonlinear Analysis: Real World Applications
14
(
4
)
1845
-
1853
2013
-
Fractional-order derivative and time-dependent viscoelastic behaviour of rocks and minerals
Reviewed
Yusuke Kawada Takahiro Yajima Hiroyuki Nagahama
Acta Geophysica
61
(
6
)
1690
-
1702
2013
-
Geometry of stress function surfaces for an asymmetric continuum
Reviewed
Takahiro Yajima Kazuhito Yamasaki Hiroyuki Nagahama
Acta Geophysica
61
(
6
)
1703
-
1721
2013
-
Differential geometric approach to the stress aspect of a fault: Airy stress function surface and curvatures
Reviewed
Kazuhito Yamasaki Takahiro Yajima
Acta Geophysica
60
(
1
)
4
-
23
2012
-
Geometry of surfaces with Caputo fractional derivatives and applications to incompressible two-dimensional flows
Reviewed
Takahiro Yajima Kazuhito Yamasaki
Journal of Physics A: Mathematical and Theoretical
45
(
6
)
065201
2012
-
Finsler metric and anisotropic media in seismic ray theory
Takahiro Yajima Kazuhito Yamasaki Hiroyuki Nagahama
Proceedings of G-COE Symposium 2012, Achievements of G-COE Program for Earth Planetary Dynamics and the Future Perspective
31
-
32
2012
-
Finsler metric and elastic constants for weak anisotropic media
Reviewed
Takahiro Yajima Kazuhito Yamasaki Hiroyuki Nagahama
Nonlinear Analysis: Real World Applications
12
(
6
)
3177
-
3184
2011
-
Differential geometric structures of stream functions: incompressible two-dimensional flow and curvatures
Reviewed
Kazuhito Yamasaki Takahiro Yajima Takahiro Iwayama
Journal of Physics A: Mathematical and Theoretical
44
(
15
)
155501
2011
-
Differential geometry of viscoelastic models with fractional-order derivatives
Reviewed
Takahiro Yajima Hiroyuki Nagahama
Journal of Physics A: Mathematical and Theoretical
43
(
38
)
385207
2010
-
Tangent bundle viewpoint of the Lorenz system and its chaotic behavior
Reviewed
Takahiro Yajima Hiroyuki Nagahama
Physics Letters A
374
(
11-12
)
1315
-
1319
2010
-
Geometrical unified theory of Rikitake system and KCC-theory
Reviewed
Takahiro Yajima Hiroyuki Nagahama
Nonlinear Analysis: Theory, Methods and Applications
71
(
12
)
e203
-
e210
2009
-
Extended objects as topological singularities in non-Riemannian space
Takahiro Yajima Hiroyuki Nagahama Miki Wadati
Proceedings of the 44-th Symposium on Finsler Geometry
78
-
81
2009
-
Finsler geometry of seismic ray path in anisotropic media
Reviewed
Takahiro Yajima Hiroyuki Nagahama
Proceedings of the Royal Society A
465
(
2106
)
1763
-
1777
2009
-
Nonlinear dynamical systems and KCC-theory
Reviewed
Takahiro Yajima Hiroyuki Nagahama
Acta Mathematica Academiae Paedagogicae Ny?regyh?ziensis
24
(
1
)
179
-
189
2008
-
Geometrical invariants of Rikitake system in KCC-theory
Reviewed
Takahiro Yajima Hiroyuki Nagahama
Tensor (New Series)
69
106
-
113
2008
-
KCC-theory and geometry of the Rikitake system
Reviewed
Takahiro Yajima Hiroyuki Nagahama
Journal of Physics A: Mathematical and Theoretical
40
(
11
)
2755
-
2772
2007
-
Higher-order geometry of solitary waves in solid earth
Takahiro Yajima Hiroyuki Nagahama
Proceedings of EASTEC Symposium 2007
135
-
136
2007
-
A geometrical approach to soliton systems in Kawaguchi space
Takahiro Yajima Hiroyuki Nagahama
Proceedings of the 42-th Symposium on Finsler Geometry
42
-
45
2007
-
Kawaguchi space, Zermelo’s condition and seismic ray path
Reviewed
Takahiro Yajima Hiroyuki Nagahama
Nonlinear Analysis: Real World Applications
8
(
1
)
130
-
135
2007
-
Physical fields, soliton systems and Kawaguchi space
Reviewed
Takahiro Yajima Hiroyuki Nagahama
Analele ?tiintifice ale Universit??ii "Al.I.Cuza" din Ia?i, Matematica
53
343
-
355
2007
-
Seismic ray paths in anisotropic medium based on higher-order geometry
Takahiro Yajima Hiroyuki Nagahama
EOS Transactions AGU, Fall Meeting Supplement Abstract
87
S43B-1391
2006
-
Seismic ray path in an anisotropic medium from a view point of Finsler geometry
Takahiro Yajima Hiroyuki Nagahama
Proceedings of the 41-th Symposium on Finsler Geometry
41
-
47
2006
-
Differential geometry of nonlinear dynamical system: Rikitake dynamo system and Lorentz model
Takahiro Yajima Hiroyuki Nagahama
Geophysical Research Abstract
8
06524
2006
-
Seismic ray theory for structural medium based on Kawaguchi and Finsler geometry
Reviewed
Takahiro Yajima Hiroyuki Nagahama
Earthquake Source Asymmetry, Structural Media and Rotation Effects
2006
