Vladimir S. ZykovOn Uma KheowanOrapin RangsimanStefan C. MüllerOtto von Guericke University of MagdeburgMahidol University2018-07-242018-07-242002-01-01Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. Vol.65, No.2 (2002)1063651X2-s2.0-41349095179https://repository.li.mahidol.ac.th/handle/20.500.14594/20246During 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. © 2002 The American Physical Society.Mahidol UniversityMathematicsPhysics and AstronomyArticleSCOPUS10.1103/PhysRevE.65.026206