On Uma KheowanStefan C. MüllerMahidol UniversityOtto von Guericke University of Magdeburg2018-06-212018-06-212005-05-16Applied Mathematics and Computation. Vol.164, No.2 (2005), 373-390009630032-s2.0-15544371852https://repository.li.mahidol.ac.th/handle/20.500.14594/16645The propagation of spiral-shaped excitation waves is a prominent example of self-organization in nonequilibrium systems. The properties of these waves are studied in a chemical model system - the Belousov-Zhabotinsky (BZ) reaction - and in various biological excitable media such as heart or neuronal tissue. An important aspect lies in finding tools for external control of these waves. A light-sensitive variant of the BZ reaction has proven to be a suitable system for investigating local and global control by means of a time-dependent uniform illumination. A local feedback control, in which short light pulses are applied at instants corresponding to the passage of a wave front through a measuring point, results in a drift of the spiral center along a discrete set of stable circular orbits. In a confined-domain control, where the illumination intensity is taken to be proportional to the average wave activity observed in a circular domain of the reaction layer, the stabilization and destabilization of spiral wave trajectories are demonstrated. The presented methods could be useful for the control of biological excitation waves. © 2004 Elsevier Inc. All rights reserved.Mahidol UniversityMathematicsConference PaperSCOPUS10.1016/j.amc.2004.06.029