Achilles' heel of a traveling pulse subject to a local external stimulus.

Abstract

The response of a traveling pulse to a local external stimulus is considered numerically for a modified three-component Oregonator, which is a model system for the photosensitive Belousov-Zhabotinsky (BZ) reaction. The traveling pulse is traced and constantly stimulated, with the distance between the pulse and the stimulus being kept constant. We are interested in the minimal strength of the spatially localized stimulus in order to eliminate the pulse. The use of a stimulus of small width allows us to detect the point in the pulse most sensitive to the external stimulus, referred to as the "Achilles' heel" of the traveling pulse, at which minimal strength of stimulus causes a collapse of the pulse. Our findings are demonstrated experimentally as well with the photosensitive BZ reaction.

DOI: 10.1103/PhysRevE.95.062209

Cite this paper

@article{Nishi2017AchillesHO, title={Achilles' heel of a traveling pulse subject to a local external stimulus.}, author={Kei Nishi and Shogo Suzuki and Katsuhiko Kayahara and Masakazu Kuze and Hiroyuki Kitahata and Satoshi Nakata and Yasumasa Nishiura}, journal={Physical review. E}, year={2017}, volume={95 6-1}, pages={062209} }