title: Instabilities of the resonance attractor for spiral waves in an excitable medium.
abstract: During an experimental study of the resonance attractor for spiral waves in the light-sensitive Belousov-Zhabotinsky reaction, strong deviations of the attractor trajectories from circular orbits are observed if the time delay in the feedback loop becomes relatively long. A theory is developed that reduces the spiral wave dynamics under a long-delayed control to a higher order iterative map. Then the observed deviations are explained to be a result of instabilities appearing due to the Neimark bifurcation of the map. The theoretical predictions are in good agreement with the experimental data.
authors.affiliation: Institut für Experimentelle Physik, Otto-von-Guericke-Universität, Universitätsplatz 2, D-39106 Magdeburg, Germany.
authors.forename: Vladimir S
authors.initials: VS
authors.lastname: Zykov
authors.forename: On-Uma
authors.initials: OU
authors.lastname: Kheowan
authors.forename: Orapin
authors.initials: O
authors.lastname: Rangsiman
authors.forename: Stefan C
authors.initials: SC
authors.lastname: Müller