Dokument-ID Dokumenttyp Verfasser/Autoren Herausgeber Haupttitel Abstract Auflage Verlagsort Verlag Erscheinungsjahr Seitenzahl Schriftenreihe Titel Schriftenreihe Bandzahl ISBN Quelle der Hochschulschrift Konferenzname Quelle:Titel Quelle:Jahrgang Quelle:Heftnummer Quelle:Erste Seite Quelle:Letzte Seite URN DOI Abteilungen OPUS4-46773 Wissenschaftlicher Artikel Meucci, Riccardo; Salvadori, Francesco; Ivanchenko, Mikhail V.; Al Naimee, Kais; Zhou, Chansong; Arecchi, Fortunato Tito; Boccaletti, Stefano; Kurths, Jürgen Synchronization of spontaneous bursting in a CO2 laser We present experimental and numerical evidence of synchronization of burst events in two different modulated CO2 lasers. Bursts appear randomly in each laser as trains of large amplitude spikes intercalated by a small amplitude chaotic regime. Experimental data and model show the frequency locking of bursts in a suitable interval of coupling strength. We explain the mechanism of this phenomenon and demonstrate the inhibitory properties of the implemented coupling. College Park American Physical Society 2006 6 Physical review : E, Statistical, nonlinear and soft matter physics 74 10.1103/PhysRevE.74.066207 Institut für Physik und Astronomie OPUS4-15359 Wissenschaftlicher Artikel Ivanchenko, Mikhail V.; Osipov, Grigory V.; Shalfeev, V. D.; Kurths, Jürgen Phase synchronization in ensembles of bursting oscillators We study the effects of mutual and external chaotic phase synchronization in ensembles of bursting oscillators. These oscillators (used for modeling neuronal dynamics) are essentially multiple time scale systems. We show that a transition to mutual phase synchronization takes place on the bursting time scale of globally coupled oscillators, while on the spiking time scale, they behave asynchronously. We also demonstrate the effect of the onset of external chaotic phase synchronization of the bursting behavior in the studied ensemble by a periodic driving applied to one arbitrarily taken neuron. We also propose an explanation of the mechanism behind this effect. We infer that the demonstrated phenomenon can be used efficiently for controlling bursting activity in neural ensembles 2004 Institut für Physik und Astronomie OPUS4-15189 Wissenschaftlicher Artikel Ivanchenko, Mikhail V.; Osipov, Grigory V.; Shalfeev, V. D.; Kurths, Jürgen Phase synchronization of chaotic intermittent oscillations We study phase synchronization effects of chaotic oscillators with a type-I intermittency behavior. The external and mutual locking of the average length of the laminar stage for coupled discrete and continuous in time systems is shown and the mechanism of this synchronization is explained. We demonstrate that this phenomenon can be described by using results of the parametric resonance theory and that this correspondence enables one to predict and derive all zones of synchronization 2004 Institut für Physik und Astronomie OPUS4-15188 Wissenschaftlicher Artikel Ivanchenko, Mikhail V.; Osipov, Grigory V.; Shalfeev, V. D.; Kurths, Jürgen Synchronization of two non-scalar-coupled limit-cycle oscillators Being one of the fundamental phenomena in nonlinear science, synchronization of oscillations has permanently remained an object of intensive research. Development of many asymptotic methods and numerical simulations has allowed an understanding and explanation of various phenomena of self-synchronization. But even in the classical case of coupled van der Pol oscillators a full description of all possible dynamical regimes, their mutual transitions and characteristics is still lacking. We present here a study of the phenomenon of mutual synchronization for two non-scalar- coupled non-identical limit-cycle oscillators and analyze phase, frequency and amplitude characteristics of synchronization regimes. A series of bifurcation diagrams that we obtain exhibit various regions of qualitatively different behavior. Among them we find mono-, bi- and multistability regions, beating and "oscillation death" ones; also a region, where one of the oscillators dominates the other one is observed. The frequency characteristics that we obtain reveal three qualitatively different types of synchronization: (i) on the mean frequency (the in-phase synchronization), (ii) with a shift from the mean frequency caused by a conservative coupling term (the anti-phase synchronization), and (iii) on the frequency of one of the oscillators (when one oscillator dominates the other). (C) 2003 Elsevier B.V. All rights reserved 2004 Institut für Physik und Astronomie OPUS4-12025 Wissenschaftlicher Artikel Kurths, Jürgen; Romano, Maria Carmen; Thiel, Marco; Osipov, Grigory V.; Ivanchenko, Mikhail V.; Kiss, Istvan Z.; Hudson, John L. Synchronization analysis of coupled noncoherent oscillators We present two different approaches to detect and quantify phase synchronization in the case of coupled non- phase coherent oscillators. The first one is based on the general idea of curvature of an arbitrary curve. The second one is based on recurrences of the trajectory in phase space. We illustrate both methods in the paradigmatic example of the Rossler system in the funnel regime. We show that the second method is applicable even in the case of noisy data. Furthermore, we extend the second approach to the application of chains of coupled systems, which allows us to detect easily clusters of synchronized oscillators. In order to illustrate the applicability of this approach, we show the results of the algorithm applied to experimental data from a population of 64 electrochemical oscillators 2006 10.1007/s11071-006-1957-x Institut für Physik und Astronomie OPUS4-13803 Wissenschaftlicher Artikel Osipov, Grigory V.; Ivanchenko, Mikhail V.; Kurths, Jürgen; Hu, B. Synchronized chaotic intermittent and spiking behavior in coupled map chains We study phase synchronization effects in a chain of nonidentical chaotic oscillators with a type-I intermittent behavior. Two types of parameter distribution, linear and random, are considered. The typical phenomena are the onset and existence of global (all-to-all) and cluster (partial) synchronization with increase of coupling. Increase of coupling strength can also lead to desynchronization phenomena, i.e., global or cluster synchronization is changed into a regime where synchronization is intermittent with incoherent states. Then a regime of a fully incoherent nonsynchronous state (spatiotemporal intermittency) appears. Synchronization-desynchronization transitions with increase of coupling are also demonstrated for a system resembling an intermittent one: a chain of coupled maps replicating the spiking behavior of neurobiological networks 2005 Institut für Physik und Astronomie