PMID: 15245136Jul 13, 2004Paper

Tracking waves and vortex nucleation in excitable systems with anomalous dispersion

Physical Review Letters
Niklas ManzOliver Steinbock

Abstract

We report experimental results obtained from a chemical reaction-diffusion system in which wave propagation is limited to a finite band of wavelengths and in which no solitary pulses exist. Wave patterns increase their size through repeated annihilation events of the frontier pulse that allow the succeeding pulses to advance farther. A related type of wave dynamics involves a stable but slow frontier pulse that annihilates subsequent waves in front-to-back collisions. These so-called merging dynamics give rise to an unexpected form of spiral wave nucleation. All of these phenomena are reproduced by a simple, three-species reaction-diffusion model that reveals the importance of the underlying anomalous dispersion relation.

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Citations

Mar 12, 2008·The Journal of Chemical Physics·Tamás BánságiOliver Steinbock
Jul 8, 2008·Chaos·Grigory Bordyugov, Harald Engel
Oct 4, 2006·Chaos·Petteri KettunenStefan C Müller
Jan 5, 2016·The Journal of Physical Chemistry. a·Marcello Antonio BudroniAnne De Wit
Jul 15, 2015·Physical Chemistry Chemical Physics : PCCP·Mahmoud M AyassMazen Al-Ghoul
Dec 31, 2005·Physical Review Letters·Hui-Min LiaoQi Ouyang
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Niklas ManzOliver Steinbock
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Grigory Bordyugov, Harald Engel
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jin-Sung Park, Kyoung J Lee
Dec 13, 2006·Physical Review Letters·Tamás Bánsági, Oliver Steinbock
May 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Georg RöderMartin Falcke
Sep 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jinming Luo, Meng Zhan
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Okyu KwonKyoung J Lee
Sep 12, 2008·Europhysics Letters·A YochelisA Garfinkel
Apr 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Arik YochelisMichael H Köpf
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Niklas Manz, Oliver Steinbock
Nov 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tamás Bánsági, Oliver Steinbock
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Brent T Ginn, Oliver Steinbock
Mar 20, 2021·Physical Review. E·Franco M Zanotto, Oliver Steinbock

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