Synchronization - A Universal Concept in Nonlinear Sciences
- A. Pikovsky, M. Rosenblum, J. Kurths
- PhysicsCambridge Nonlinear Science Series
- 2001
This work discusseschronization of complex dynamics by external forces, which involves synchronization of self-sustained oscillators and their phase, and its applications in oscillatory media and complex systems.
Detection of n:m Phase Locking from Noisy Data: Application to Magnetoencephalography
- P. Tass, M. Rosenblum, H. Freund
- Psychology
- 12 October 1998
It is revealed that the temporal evolution of the peripheral tremor rhythms directly reflects the time course of the synchronization of abnormal activity between cortical motor areas.
Coherence Resonance in a Noise-Driven Excitable System
- A. Pikovsky, J. Kurths
- Physics
- 3 February 1997
We study the dynamics of the excitable Fitz Hugh ‐ Nagumo system under external noisy driving. Noise activates the system producing a sequence of pulses. The coherence of these noise-induced…
Detecting direction of coupling in interacting oscillators.
- M. Rosenblum, A. Pikovsky
- PhysicsPhysical review. E, Statistical, nonlinear, and…
- 21 September 2001
A method for experimental detection of directionality of weak coupling between two self-sustained oscillators from bivariate data is proposed and an index that quantifies the asymmetry in coupling is introduced.
Phase synchronization: from theory to data analysis
- M. Rosenblum, A. Pikovsky, J. Kurths, C. Schäfer, P. Tass
- Biology
- 2003
This work applies its approach to human posture control data of healthy subjects and neurological patients, to multichannel magnetoencephalography data and records of muscle activity of a Parkinsonian patient, and also uses it to analyse the cardiorespiratory interaction in humans.
Synchronization: Phase locking and frequency entrainment
- A. Pikovsky, M. Rosenblum, J. Kurths
- Computer Science
- 2001
From Phase to Lag Synchronization in Coupled Chaotic Oscillators
- M. Rosenblum, A. Pikovsky, J. Kurths
- Physics
- 2 June 1997
We study synchronization transitions in a system of two coupled self-sustained chaotic oscillators. We demonstrate that with the increase of coupling strength the system first undergoes the…
Controlling synchronization in an ensemble of globally coupled oscillators.
- M. Rosenblum, A. Pikovsky
- PhysicsPhysical Review Letters
- 19 March 2004
It is demonstrated numerically and theoretically that a time delayed feedback in the mean field can, depending on the parameters, enhance or suppress the self-synchronization in the population.
Destruction of Anderson localization by a weak nonlinearity.
- A. Pikovsky, D. Shepelyansky
- MathematicsPhysical Review Letters
- 24 August 2007
It is demonstrated that above a certain critical strength of nonlinearity the Anderson localization is destroyed and an unlimited subdiffusive spreading of the field along the lattice occurs.
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