Institut für Physik und Astronomie
Refine
Year of publication
Document Type
- Article (212)
- Preprint (9)
- Postprint (8)
- Monograph/Edited Volume (4)
- Other (1)
Keywords
- Amazon rainforest (2)
- Complex networks (2)
- channel (2)
- complex networks (2)
- diffusion (2)
- droughts (2)
- prediction (2)
- space-dependent diffusivity (2)
- 3D medical image analysis (1)
- African climate (1)
- Chaotic System (1)
- Escherichia-coli (1)
- Event synchronization (1)
- Extreme precipitation (1)
- Hypothesis Test (1)
- India (1)
- Indian summer monsoon (1)
- Partial wavelet coherence (1)
- Phase Synchronization (1)
- Planetary Rings (1)
- Plio-Pleistocene (1)
- Rainfall patterns (1)
- Statistical and Nonlinear Physics (1)
- Surrogate Data (1)
- Synchronization (1)
- Teleconnection patterns (1)
- Time-varying Delay (1)
- Wavelets (1)
- algorithms (1)
- anatomical connectivity (1)
- bifurcation analysis (1)
- bifurcations (1)
- climate-driven evolution (1)
- cluster-analysis (1)
- complex systems (1)
- cortical network (1)
- dynamical cluster (1)
- dynamical transitions (1)
- functional connectivity (1)
- high-frequency force (1)
- inference (1)
- intermittency (1)
- low-frequency force (1)
- mean residence time (1)
- models (1)
- mutual information (1)
- noise (1)
- nonlinear dynamics (1)
- nonlinear time series analysis (1)
- pQCT (1)
- patient immobilization (1)
- period doubling (1)
- proteasome (1)
- protein translocation (1)
- ratchets (1)
- recognition (1)
- recurrence plot (1)
- series (1)
- statistical physics (1)
- stochastic process (1)
- stochastic resonance (1)
- synchronization (1)
- topological community (1)
- trabecular bone (1)
- unferring cellular networks (1)
- variables (1)
- vibrational resonance (1)
- Æ Recurrence Plots (1)
Institute
We propose a new approach to calculate recurrence plots of multivariate time series, based on joint recurrences in phase space. This new method allows to estimate dynamical invariants of the whole system, like the joint Renyi entropy of second order. We use this entropy measure to quantitatively study in detail the phase synchronization of two bidirectionally coupled chaotic systems and identify different types of transitions to chaotic phase synchronization in dependence on the coupling strength and the frequency mismatch. By means of this analysis we find several new phenomena, such a chaos-period-chaos transition to phase synchronization for rather large coupling strengths. (C) 2004 Elsevier B.V. All rights reserved
Many complex networks display strong heterogeneity in the degree (connectivity) distribution. Heterogeneity in the degree distribution often reduces the average distance between nodes but, paradoxically, may suppress synchronization in networks of oscillators coupled symmetrically with uniform coupling strength. Here we offer a solution to this apparent paradox. Our analysis is partially based on the identification of a diffusive process underlying the communication between oscillators and reveals a striking relation between this process and the condition for the linear stability of the synchronized states. We show that, for a given degree distribution, the maximum synchronizability is achieved when the network of couplings is weighted and directed and the overall cost involved in the couplings is minimum. This enhanced synchronizability is solely determined by the mean degree and does not depend on the degree distribution and system size. Numerical verification of the main results is provided for representative classes of small-world and scale-free networks
We show that external fluctuations are able to induce propagation of harmonic signals through monostable media. This property is based on the phenomenon of doubly stochastic resonance, where the joint action of multiplicative noise and spatial coupling induces bistability in an otherwise monostable extended medium, and additive noise resonantly enhances the response of the system to a harmonic forcing. Under these conditions, propagation of the harmonic signal through the unforced medium i observed for optimal intensities of the two noises. This noise-induced propagation is studied and quantified in a simple model of coupled nonlinear electronic circuits.