Zobrazeno 1 - 10
of 335
pro vyhledávání: '"NISHIURA, YASUMASA"'
In this paper, we focus on annihilation dynamics for the head-on collision of traveling patterns. A representative and well-known example of annihilation is the one observed for 1-dimensional traveling pulses of the FitzHugh-Nagumo equations. In this
Externí odkaz:
http://arxiv.org/abs/2306.06421
Autor:
Nishiura, Yasumasa, Xie, Shuangquan
In two-dimensional space, we investigate the slow dynamics of multiple localized spots with oscillatory tails in a specific three-component reaction-diffusion system, whose key feature is that the spots attract or repel each other alternatively accor
Externí odkaz:
http://arxiv.org/abs/2204.02740
Autor:
Nishiura, Yasumasa, Watanabe, Takeshi
The interplay between 1D traveling pulses with oscillatory tails (TPO) and heterogeneities of bump type is studied for a generalized three-component FitzHugh-Nagumo equation. First, we present that stationary pulses with oscillatory tails (SPO) form
Externí odkaz:
http://arxiv.org/abs/2111.03836
Publikováno v:
Phys. Rev. E 104, 014505 (2021)
We investigate the solution landscapes of the confined diblock copolymer and homopolymer in two-dimensional domain by using the extended Ohta--Kawasaki model. The projected saddle dynamics method is developed to compute the saddle points with mass co
Externí odkaz:
http://arxiv.org/abs/2101.10764
Autor:
Nishiura, Yasumasa, Suzuki, Hiromasa
We study the existence and stability of standing pulse solutions to a singularly perturbed three-component reaction diffusion system with one-activator and two-inhibitor type. We apply the MAE (matched asymptotic expansion) method to the construction
Externí odkaz:
http://arxiv.org/abs/2101.03311
In this paper, we introduce a three-component Schnakenberg model. Its key feature is that it has a solution consisting of N spikes that undergoes a Hopf bifurcation with respect to N distinct modes nearly simultaneously. This results in complex oscil
Externí odkaz:
http://arxiv.org/abs/2006.04801
Publikováno v:
COMMAT Volume 186, January 2021, 109996
Although the process variables of epoxy resins alter their mechanical properties, the visual identification of the characteristic features of X-ray images of samples of these materials is challenging. To facilitate the identification, we approximate
Externí odkaz:
http://arxiv.org/abs/2004.11968
The dynamics of pulse solutions in a bistable reaction-diffusion system are studied analytically by reducing partial differential equations (PDEs) to finite-dimensional ordinary differential equations (ODEs). For the reduction, we apply the multiple-
Externí odkaz:
http://arxiv.org/abs/1802.08321
Autor:
Nishiura, Yasumasa, Watanabe, Takeshi
Publikováno v:
In Physica D: Nonlinear Phenomena 15 November 2022 440
