TY  - JOUR
A1  - Belykh, Vladimir N.
A1  - Osipov, Grigory V.
A1  - Kuckländer, Nina
A1  - Blasius, Bernd
A1  - Kurths, Jürgen
T1  - Automatic control of phase synchronization in coupled complex oscillators
N2  - We present an automatic control method for phase locking of regular and chaotic non-identical oscillations, when all subsystems interact via feedback. This method is based on the well known principle of feedback control which takes place in nature and is successfully used in engineering. In contrast to unidirectional and bidirectional coupling, the approach presented here supposes the existence of a special controller, which allows to change the parameters of the controlled systems. First we discuss general principles of automatic phase synchronization (PS) for arbitrary coupled systems with a controller whose input is given by a special quadratic form of coordinates of the individual systems and its output is a result of the application of a linear differential operator. We demonstrate the effectiveness of our approach for controlled PS on several examples: (i) two coupled regular oscillators, (ii) coupled regular and chaotic oscillators, (iii) two coupled chaotic R"ossler oscillators, (iv) two coupled foodweb models, (v) coupled chaotic R"ossler and Lorenz oscillators, (vi) ensembles of locally coupled regular oscillators, (vii) ensembles of locally coupled chaotic oscillators, and (viii) ensembles of globally coupled chaotic oscillators.
Y1  - 2005
UR  - http://www.agnld.uni-potsdam.de/~bernd/papers/physica_D.pdf
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  -