TY  - JOUR
A1  - Zaks, Michael A.
A1  - Rosenblum, Michael
A1  - Pikovskij, Arkadij
A1  - Osipov, Grigory V.
A1  - Kurths, Jürgen
T1  - Phase synchronization of chaotic oscillations in terms of periodic orbits
Y1  - 1997
SN  - 1054-1500
ER  - 
TY  - JOUR
A1  - Rosenblum, Michael
A1  - Pikovskij, Arkadij
A1  - Kurths, Jürgen
A1  - Osipov, Grigory V.
A1  - Kiss, Istvan Z.
A1  - Hudson, J. L.
T1  - Locking-based frequency measurement and synchronization of chaotic oscillators with complex dynamics
Y1  - 2002
ER  - 
TY  - JOUR
A1  - Rosenblum, Michael
A1  - Osipov, Grigory V.
A1  - Pikovskij, Arkadij
A1  - Kurths, Jürgen
T1  - Phase synchronization of chaotic oscillators by external driving
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Pikovskij, Arkadij
A1  - Rosenblum, Michael
A1  - Osipov, Grigory V.
A1  - Kurths, Jürgen
T1  - Phase synchronization effects in a lattice of nonidentical Rössler oscillators
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Osipov, Grigory V.
A1  - Rosenblum, Michael
A1  - Pikovskij, Arkadij
A1  - Zaks, Michael A.
A1  - Kurths, Jürgen
T1  - Attractor-repeller collision and eyelet intermittency at the transition to phase synchronization
N2  - The chaotically driven circle map is considered as the simplest model ofphase synchronization of a chaotic continuous-time oscillator by external periodic force. The phase dynamics is analyzed via phase-locking regions of the periodic cycles embedded in the strange attractor. It is shown that full synchronization, where all the periodic cycles are phase locked, disappears via the attractor-repeller collision. Beyond the transition an intermittent regime with exponentially rare phase slips, resulting from the trajectory's hits on an eyelet, is observed.
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Osipov, Grigory V.
A1  - Pikovskij, Arkadij
A1  - Kurths, Jürgen
T1  - Phase Synchronization of Chaotic Rotators
N2  - We demonstrate the existence of phase synchronization of two chaotic rotators. Contrary to phase synchronization of chaotic oscillators, here the Lyapunov exponents corresponding to both phases remain positive even in the synchronous regime. Such frequency locked dynamics with different ratios of frequencies are studied for driven continuous-time rotators and for discrete circle maps. We show that this transition to phase synchronization occurs via a crisis transition to a band-structured attractor.
Y1  - 2002
ER  - 
TY  - BOOK
A1  - Osipov, Grigory V.
A1  - Kurths, Jürgen
A1  - Zhou, Changsong
T1  - Synchronisation in Oscillatory Networks
Y1  - 2007
SN  - 978-3-540-71268-8
PB  - Springer-Verlag
CY  - Berlin
ER  - 
TY  - JOUR
A1  - Osipov, Grigory V.
A1  - Kurths, Jürgen
T1  - Regular and chaotic phase synchronization of coupled circle maps
Y1  - 2002
ER  - 
TY  - JOUR
A1  - Osipov, Grigory V.
A1  - Ivanchenko, Mikhail V.
A1  - Kurths, Jürgen
A1  - Hu, B.
T1  - Synchronized chaotic intermittent and spiking behavior in coupled map chains
N2  - 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
Y1  - 2005
SN  - 1539-3755
ER  - 
TY  - JOUR
A1  - Kurths, Jürgen
A1  - Romano, Maria Carmen
A1  - Thiel, Marco
A1  - Osipov, Grigory V.
A1  - Ivanchenko, Mikhail V.
A1  - Kiss, Istvan Z.
A1  - Hudson, John L.
T1  - Synchronization analysis of coupled noncoherent oscillators
N2  - 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
Y1  - 2006
UR  - http://www.springerlink.com/content/102972
U6  - https://doi.org/10.1007/s11071-006-1957-x
SN  - 0924-090X
ER  -