Refine
Year of publication
Document Type
- Article (285)
- Postprint (11)
- Preprint (9)
- Monograph/Edited Volume (8)
- Other (1)
Keywords
- Complex networks (5)
- Event synchronization (4)
- precipitation (3)
- synchronization (3)
- Amazon rainforest (2)
- Extreme rainfall (2)
- Synchronization (2)
- channel (2)
- classification (2)
- climate networks (2)
- complex networks (2)
- diffusion (2)
- droughts (2)
- events (2)
- identifying influential nodes (2)
- models (2)
- prediction (2)
- rainfall (2)
- space-dependent diffusivity (2)
- streamflow (2)
- 3D medical image analysis (1)
- African climate (1)
- Algebraic geometry (1)
- Anisotropy (1)
- Baiu (1)
- Bifurcation parameters (1)
- Biomass (1)
- Calvin cycle (1)
- Chaotic System (1)
- Cold air surges (1)
- Complex network (1)
- Convective storms (1)
- Dominant link directions (1)
- EEG (1)
- Escherichia-coli (1)
- Extreme events (1)
- Extreme precipitation (1)
- Holocene (1)
- Hypothesis Test (1)
- India (1)
- Indian monsoon (1)
- Indian summer monsoon (1)
- Isochrones (1)
- K-means technique (1)
- Mesoscale systems (1)
- Multistationarity (1)
- North-Atlantic climate (1)
- Partial wavelet coherence (1)
- Phase Synchronization (1)
- Planetary Rings (1)
- Plio-Pleistocene (1)
- Precipitation (1)
- Precipitation events (1)
- Rainfall (1)
- Rainfall network (1)
- Rainfall patterns (1)
- Regionalization (1)
- Self-organizing map (1)
- South American monsoon system (1)
- Statistical and Nonlinear Physics (1)
- Subtropical cyclones (1)
- Surrogate Data (1)
- Teleconnection patterns (1)
- Time-varying Delay (1)
- Tropical storms (1)
- Ungauged catchments (1)
- Wavelet power spectrum (1)
- Wavelets (1)
- Z-P approach (1)
- algorithms (1)
- anatomical connectivity (1)
- bifurcation analysis (1)
- bifurcations (1)
- climate-driven evolution (1)
- cluster-analysis (1)
- coherence (1)
- complex systems (1)
- cortical network (1)
- desynchronization (1)
- dynamical cluster (1)
- dynamical transitions (1)
- functional connectivity (1)
- high-frequency force (1)
- inference (1)
- interdependences (1)
- intermittency (1)
- low-frequency force (1)
- mean residence time (1)
- monsoon (1)
- mutual information (1)
- networks (1)
- noise (1)
- nonlinear dynamics (1)
- nonlinear time series analysis (1)
- pQCT (1)
- patient immobilization (1)
- period doubling (1)
- periods (1)
- phase (1)
- proteasome (1)
- protein translocation (1)
- ratchets (1)
- recognition (1)
- records (1)
- recurrence plot (1)
- series (1)
- statistical physics (1)
- stochastic process (1)
- stochastic resonance (1)
- teleconnections (1)
- time (1)
- topological community (1)
- trabecular bone (1)
- unferring cellular networks (1)
- variability (1)
- variables (1)
- vibrational resonance (1)
- Æ Recurrence Plots (1)
Institute
- Institut für Physik und Astronomie (234)
- Interdisziplinäres Zentrum für Dynamik komplexer Systeme (48)
- Institut für Geowissenschaften (21)
- Department Psychologie (17)
- Institut für Biochemie und Biologie (4)
- Department Linguistik (3)
- Extern (3)
- Institut für Informatik und Computational Science (2)
- Mathematisch-Naturwissenschaftliche Fakultät (2)
- Department Sport- und Gesundheitswissenschaften (1)
- Institut für Umweltwissenschaften und Geographie (1)
A method for the multivariate analysis of statistical phase synchronization phenomena in empirical data is presented. A first statistical approach is complemented by a stochastic dynamic model, to result in a data analysis algorithm which can in a specific sense be shown to be a generic multivariate statistical phase synchronization analysis. The method is applied to EEG data from a psychological experiment, obtaining results which indicate the relevance of this method in the context of cognitive science as well as in other fields.
We propose a new autonomous dynamical system of dimension N=4 that demonstrates the regime of stable two- frequency motions and period-doubling bifurcations of a two-dimensional torus. It is shown that the period-doubling bifurcation of the two-dimensional torus is not followed by the resonance phenomenon, and the two-dimensional ergodic torus undergoes a period-doubling bifurcation. The interaction of two generators is also analyzed. The phenomenon of external and mutual synchronization of two-frequency oscillations is observed, for which winding number locking on a two- dimensional torus takes place
We study numerically the behavior of the autocorrelation function (ACF) and the power spectrum of spiral attractors without and in the presence of noise. It is shown that the ACF decays exponentially and has two different time scales. The rate of the ACF decrease is defined by the amplitude fluctuations on small time intervals, i.e., when tau < tau(cor), and by the effective diffusion coefficient of the instantantaneous phase on large time intervals. it is also demonstrated that the ACF in the Poincare map also decreases according to the exponential law exp(-lambda(+)k), where lambda(+) is the positive Lyapunov exponent. The obtained results are compared with the theory of fluctuations for the Van der Pol oscillator
We present results of physical experiments where we measure the autocorrelation function (ACF) and the spectral linewidth of the basic frequency of a spiral chaotic attractor in a generator with inertial nonlinearity both without and in the presence of external noise. It is shown that the ACF of spiral attractors decays according to an exponential law with a decrement which is defined by the phase diffusion coefficient. It is also established that the evolution of the instantaneous phase can be approximated by a Wiener random process
Chaotic channel
(2005)
This work combines the theory of chaotic synchronization with the theory of information in order to introduce the chaotic channel, an active medium formed by connected chaotic systems. This subset of a large chaotic net represents the path along which information flows. We show that the possible amount of information exchange between the transmitter, where information enters the net, and the receiver, the destination of the information, is proportional to the level of synchronization between these two special subsystems
An approach is presented for coupled chaotic systems with weak coherent motion, from which we estimate the upper bound value for the absolute phase difference in phase synchronous states. This approach shows that synchronicity in phase implies synchronicity in the time of events, a characteristic explored to derive an equation to detect phase synchronization, based on the absolute difference between the time of these events. We demonstrate the potential use of this approach for the phase coherent and the funnel attractor of the Rossler system, as well as for the spiking/bursting Rulkov map.