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Multiresolution analysis of solar mm–wave bursts

Two methods of multi-scale time series analysis are applied to solar mm-wavelength flux time profiles in order to assess the diagnostic power of these tools for the exploration of nonlinear energy release processes. Both the multiresolution analysis (MRA), a method based on the wavelet transform, and the structure function analysis (SFA) permit the treatment of non-stationary...

Multiresolution analysis of solar mm–wave bursts

Two methods of multi-scale time series analysis are applied to solar mm-wavelength flux time profiles in order to assess the diagnostic power of these tools for the exploration of nonlinear energy release processes. Both the multiresolution analysis (MRA), a method based on the wavelet transform, and the structure function analysis (SFA) permit the treatment of non-stationary...

Basin stability approach for quantifying responses of multistable systems with parameters mismatch

Institute of Physics, Humboldt University of Berlin , 12489 Berlin , Germany 1 J. Kurths Potsdam Institute for Climate Impact Research , 14415 Potsdam , Germany 2 P. Brzeski M. Lazarek T. Kapitaniak P ... . Perlikowski (&) Division of Dynamics, Lodz University of Technology , 90-924 Lodz , Poland 3 J. Kurths Institute for Complex Systems and Mathematical Biology, University of Aberdeen , Aberdeen AB24 3UE , UK 4 J

Synchronization and control in time-delayed complex networks and spatio-temporal patterns

, 47 ( 2002 ) 3. R. Albert , A.L. Baraba ´si 85 , 5234 ( 2000 ) 4. C.P. Li , W.G. Sun , J. Kurths , Phys. A 361 , 24 ( 2006 ) 5. P. Li , Z. Yi , Phys. A 387 , 3729 ( 2008 ) 6. M.E.J. Newman , D.J. Watts ... , M.H. Trauth , N. Marwan , H. - J. Schellnhuber , J. Kurths, PNAS 108 , 20422 ( 2011 ) 13. G. Bonanno, G. Caldarelli , F. Lillo , S. Miccieche , N. Vandewalle , R. Mantegna , Phys. J. B 38 , 363 ( 2004

Interdisciplinary challenges in the study of power grid resilience and stability and their relation to extreme weather events

This topical issue collects contributions to the interdisciplinary study of power grid stability in face of increasing volatility of energy production and consumption due to increasing renewable energy infeed and changing climatic conditions. The individual papers focus on different aspects of this field and bring together modern achievements from various disciplines, in...

Generating surrogates from recurrences

In this paper, we present an approach to recover the dynamics from recurrences of a system and then generate (multivariate) twin surrogate (TS) trajectories. In contrast to other approaches, such as the linear-like surrogates, this technique produces surrogates which correspond to an independent copy of the underlying system, i.e. they induce a trajectory of the underlying system...

Chaos and nonlinear dynamics: Advances and perspectives

Potsdam , 14415 Potsdam, Germany 6 G. Karolyi, A.P.S. de Moura, M.C. Romano, M. Thiel, J. Kurths Guest Editors - Chaotic behaviour of nonlinear systems has been one of the most fruitful additions to

Transmission of information and synchronization in a pair of coupled chaotic circuits: An experimental overview

We propose a rationale for experimentally studying the intricate relationship between the rate of information transmission and synchronization level in active networks, applying theoretical results recently proposed. We consider two non-identical coupled Chua’s circuit with non-identical coupling strengths in order to illustrate the proceeding for experimental scenarios of very...

Observing and interpreting correlations in metabolomic networks

Motivation: Metabolite profiling aims at an unbiased identification and quantification of all the metabolites present in a biological sample. Based on their pair-wise correlations, the data obtained from metabolomic experiments are organized into metabolic correlation networks and the key challenge is to deduce unknown pathways based on the observed correlations. However, the...

The mutual information: Detecting and evaluating dependencies between variables

Motivation: Clustering co-expressed genes usually requires the definition of `distance' or `similarity' between measured datasets, the most common choices being Pearson correlation or Euclidean distance. With the size of available datasets steadily increasing, it has become feasible to consider other, more general, definitions as well. One alternative, based on information theory...

Multiresolution analysis of solar mm–wave bursts

Two methods of multi-scale time series analysis are applied to solar mm-wavelength flux time profiles in order to assess the diagnostic power of these tools for the exploration of nonlinear energy release processes. Both the multiresolution analysis (MRA), a method based on the wavelet transform, and the structure function analysis (SFA) permit the treatment of non-stationary...