COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 13(6) 1067-1076 2008年8月
A quite simple but useful approach is performed for the analysis of chemical wave segments with free ends. By integrating a reaction-diffusion system we can obtain an analytical expression to understand the dynamics of the wave segments. This inte...
T Sakurai   O Inomoto   H Miike   S Kai   
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 73(2) 485-490 2004年2月
A surface deformation wave coupled with an oscillatory hydrodynamic flow is observed in a thin solution layer of the Belousov-Zhabotinsky reaction. The observation is carried out with a Mach-Zehnder interferometric system under the excitation of c...
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 72(9) 2385-2395 2003年9月
The present paper proposes a computational model for the realization of visual functions of edge and/or feature detection and segmentation. The model utilizes a reaction-diffusion model which is an extended version of the diffusion-based Differenc...
T Sakurai   H Miike   K Okada   SC Muller   
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 72(9) 2177-2180 2003年9月 [査読有り]
The excitable Belousov-Zhabotinsky (BZ) reaction coupled with diffusion can exhibit a large variety of spatial patterns. In this letter, we report on superimposed spiral structures, providing evidence of a hierarchical self-organized order that co...
Journal of the Institute of Image Electronics Engineers of Japan 32(4) 378-385 2003年
An increasing attention is focused on information processing by reaction-diffusion system, in which temporal and spatial patterns are self-organized. In the system, two interesting phenomena of Turing pattern formation and stochastic resonance hav...