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Synchronization - A Universal Concept in Nonlinear Sciences
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
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.
Multifractality in human heartbeat dynamics
This work reports oneidence for multifractality in a biological dynamical system, the healthy human heartbeat, and shows that the multifractal character and nonlinear properties of the healthy heart rate are encoded in the Fourier phases.
A universal concept in nonlinear sciences
Detecting direction of coupling in interacting oscillators.
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.
Synchronization: Phase locking and frequency entrainment
Phase synchronization: from theory to data analysis
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.
Heartbeat synchronized with ventilation
Using a newly developed data analysis technique, long periods of hidden cardiorespiratory synchronization are found, lasting up to 20 minutes, during spontaneous breathing at rest, in humans.
Synchronization in the human cardiorespiratory system.
- C. Schäfer, M. Rosenblum, H. Abel, J. Kurths
- Computer SciencePhysical review. E, Statistical physics, plasmas…
- 1 March 1998
The analysis of the experimental records reveals synchronous regimes of different orders n:m and transitions between them, and the physiological significance of this finding is discussed.
From Phase to Lag Synchronization in Coupled Chaotic Oscillators
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…