title: Complex Rotating Waves and Long Transients in a Ring Network of Electrochemical Oscillators with Sparse Random Cross-Connections.
abstract: We perform experiments and phase model simulations with a ring network of oscillatory electrochemical reactions to explore the effect of random connections and nonisochronicity of the interactions on the pattern formation. A few additional links facilitate the emergence of the fully synchronized state. With larger nonisochronicity, complex rotating waves or persistent irregular phase dynamics can derail the convergence to global synchronization. The observed long transients of irregular phase dynamics exemplify the possibility of a sudden onset of hypersynchronous behavior without any external stimulus or network reorganization.
authors.affiliation: Department of Chemistry, Saint Louis University, 3501 Laclede Avenue, St. Louis, Missouri 63103, USA.
authors.forename: Michael
authors.initials: M
authors.lastname: Sebek
authors.affiliation: Institute of Physics and Astronomy, Potsdam University, 14476 Potsdam-Golm, Germany.
authors.forename: Ralf
authors.initials: R
authors.lastname: Tönjes
authors.affiliation: Department of Chemistry, Saint Louis University, 3501 Laclede Avenue, St. Louis, Missouri 63103, USA.
authors.forename: István Z
authors.initials: IZ
authors.lastname: Kiss
mesh_terms: D001683:Biological Clocks; D060733:Electromagnetic Radiation; D008954:Models, Biological; D008956:Models, Chemical; D008962:Models, Theoretical