Zobrazeno 1 - 10
of 104
pro vyhledávání: '"Matsue, Kaname"'
Autor:
Nguyen, Dinh Hoa, Matsue, Kaname
This research studies a non-convex geometric optimization problem arising from the field of optical wireless power transfer. In the considered optimization problem, the cost function is a sum of negatively and fractionally powered distances from give
Externí odkaz:
http://arxiv.org/abs/2404.13832
Autor:
Matsue, Kaname
We describe blow-up behavior for ODEs by means of dynamics at infinity with complex asymptotic behavior in autonomous systems, as well as in nonautonomous systems. Based on preceding studies, a variant of closed embeddings of phase spaces and the tim
Externí odkaz:
http://arxiv.org/abs/2307.09201
In this paper, we provide a systematic methodology for calculating multi-order asymptotic expansion of blow-up solutions near blow-up for autonomous ordinary differential equations (ODEs). Under the specific form of the principal term of blow-up solu
Externí odkaz:
http://arxiv.org/abs/2211.06865
In this paper, we provide a natural correspondence of eigenstructures of Jacobian matrices associated with equilibria for appropriately transformed two systems describing finite-time blow-ups for ODEs with quasi-homogeneity in an asymptotic sense. As
Externí odkaz:
http://arxiv.org/abs/2211.06868
Autor:
Matsue, Kaname, Tomoeda, Kyoko
In this paper, we consider the particle laden flows on a inclined plane under the effect of the gravity. It is observed from preceding experimental works that the particle-rich ridge is generated near the contact line. The bump structure observed in
Externí odkaz:
http://arxiv.org/abs/2105.07389
In this paper, blow-up solutions of autonomous ordinary differential equations (ODEs) which are unstable under perturbations of initial points, referred to as saddle-type blow-up solutions, are studied. Combining dynamical systems machinery (e.g., co
Externí odkaz:
http://arxiv.org/abs/2103.12390
In this paper, we consider the asymptotic behavior of traveling wave solutions of the degenerate nonlinear parabolic equation: $u_{t}=u^{p}(u_{xx}+u)-\delta u$ ($\delta = 0$ or $1$) for $\xi \equiv x - ct \to - \infty$ with $c>0$. We give a refined o
Externí odkaz:
http://arxiv.org/abs/2008.00174
We propose an intermediate walk continuously connecting an open quantum random walk and a quantum walk with parameters $M\in \mathbb{N}$ controlling a decoherence effect; if $M=1$, the walk coincides with an open quantum random walk, while $M=\infty$
Externí odkaz:
http://arxiv.org/abs/2007.00940
Autor:
Matsue, Kaname, Takayasu, Akitoshi
Our concerns here are blow-up solutions for ODEs with exponential nonlinearity from the viewpoint of dynamical systems and their numerical validations. As an example, the finite difference discretization of $u_t = u_{xx} + e^{u^m}$ with the homogeneo
Externí odkaz:
http://arxiv.org/abs/1902.01842
Autor:
Matsue, Kaname
Geometric treatments of blow-up solutions for autonomous ordinary differential equations and their blow-up rates are concerned. Our approach focuses on the type of invariant sets at infinity via compactifications of phase spaces, and dynamics on thei
Externí odkaz:
http://arxiv.org/abs/1806.08487