Browsing by Author "Andrzejak, Ralph Gregor"

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  • Andrzejak, Ralph Gregor; Rummel, Christian; Mormann, Florian; Schindler, Kaspar A. (Nature Publishing Group, 2016)
    Conceptually and structurally simple mathematical models of coupled oscillator networks can show a rich variety of complex dynamics, providing fundamental insights into many real-world phenomena.A recent and not yet fully ...
  • Mormann, Florian; Andrzejak, Ralph Gregor; Kreuz, Thomas; Rieke, Christoph; David, Peter; Elger, Christian E.; Lehnertz, Klaus (American Physical Society, 2003)
    The question whether information extracted from the electroencephalogram ~EEG! of epilepsy patients can be used for the prediction of seizures has recently attracted much attention. Several studies have reported evidence ...
  • Grau Leguia, Marc (Universitat Pompeu Fabra, 2019-03-15)
    Un problema principal de la ciència de xarxes és com reconstruir (inferir) la topologia d’una xarxa real a partir de senyals mesurades de les seves unitats internes. Entendre la arquitectura d’una xarxa complexa és clau, ...
  • Andrzejak, Ralph Gregor; Kraskov, Alexander; Stögbauer, Harald; Mormann, Florian; Kreuz, Thomas (American Physical Society, 2003)
    The concept of surrogates allows testing results from time series analysis against specified null hypotheses. In application to bivariate model dynamics we here compare different types of surrogates, each designed to test ...
  • Chicharro Raventós, Daniel (Universitat Pompeu Fabra, 2011-04-07)
    We study two methods of data analysis which are common tools for the analysis of neuronal data. In particular, we examine how causal interactions between brain regions can be investigated using time series reflecting the ...
  • Andrzejak, Ralph Gregor; Kreuz, Thomas (2011)
    This source code allows you to calculate the different measures used in: Andrzejak RG, Kreuz T (2011): Characterizing unidirectional couplings between point processes and flows. EPL, 96, 50012.
  • Ruzzene, Giulia (Universitat Pompeu Fabra, 2020-09-25)
    Partial synchronization is an important phenomenon observed in nature and model systems. Chimera states are the most studied type of partially synchronized dynamics and attract interest from many fields of science. In ...
  • Ruzzene, Giulia; Omelchenko, Iryna; Schöll, Eckehard; Zakharova, Anna; Andrzejak, Ralph Gregor (American Institute of Physics (AIP), 2019)
    We propose a method to control chimera states in a ring-shaped network of nonlocally coupled phase oscillators. This method acts exclusivelyon the network’s connectivity. Using the idea of a pacemaker oscillator, we ...
  • Andrzejak, Ralph Gregor; Laiou, Petroula (American Physical Society, 2017)
    The understanding of interacting dynamics is important for the characterization of real-world/nnetworks. In general real-world networks are heterogeneous in the sense that each node of the/nnetwork is a dynamics with di ...
  • Serrà Julià, Joan; Serra, Xavier; Andrzejak, Ralph Gregor (Institute of Physics (IOP), 2009)
    There is growing evidence that nonlinear time series analysis techniques can be used to successfully characterize, classify, or process signals derived from realworld dynamics even though these are not necessarily deterministic ...
  • Laiou, Petroula (Universitat Pompeu Fabra, 2017-10-05)
    The characterization of interactions between coupled dynamics from their signals is important for the understanding of real-world systems. The particular aspect of the detection of directional interactions has a central ...
  • Andrzejak, Ralph Gregor; Mormann, Florian; Kreuz, Thomas (American Physical Society, 2014)
    The detection of a nonrandom structure from experimental data can be crucial for the classification, understanding, and interpretation of the generating process. We here introduce a rank-based nonlinear predictability score ...
  • Andrzejak, Ralph Gregor; Mormann, Florian; Kreuz, Thomas (2014)
    In order to understand the source code, you should first read the manuscript (Andrzejak RG, Mormann F, Kreuz T. 2014. Detecting determinism from point processes. Phys. Rev. E. 90, 062906) You will find a Zip-File ...
  • Naro, Daniel; Rummel, Christian; Schindler, Kaspar A.; Andrzejak, Ralph Gregor (American Physical Society, 2014)
    The rank-based nonlinear predictability score was recently introduced as a test for determinism in point processes. We here adapt this measure to time series sampled from time-continuous flows. We use noisy Lorenz signals ...
  • Naro, Daniel; Rummel, Christian; Schindler, Kaspar A.; Andrzejak, Ralph Gregor (2014)
    The source code NaroRummelSchindlerAndrzejak.m (link at the bottom of the page) calculates the amplitude-based nonlinear prediction error E and rank-based nonlinear prediction score S. It is commented and should not contain ...
  • Andrzejak, Ralph Gregor; Ledberg, Anders; Deco, Gustavo (2006)
    This source code allows you to calculate the different measures used in: Andrzejak RG, Ledberg A, Deco G (2006): Detecting event-related time-dependent directional couplings. New Journal of Physics 8, 6. If you use the ...
  • Malvestio, Irene (Universitat Pompeu Fabra, 2019-02-21)
    An important problem in neuroscience is the assessment of the connectivity between neurons from their spike trains. One recent approach developed for the detection of directional couplings between dynamics based on ...
  • Smirnov, Dmitry A.; Andrzejak, Ralph Gregor (American Physical Society, 2005)
    We compare two conceptually different approaches to the detection of weak directional couplings between two oscillatory systems from bivariate time series. The first approach is based on the analysis of the systems’ phase ...
  • Leguia, Marc G.; Andrzejak, Ralph Gregor; Levnajić, Zoran (Institute of Physics (IOP), 2017)
    Topologies of real-world complex networks are rarely accessible, but can often be reconstructed from experimentally obtained time series via suitable network reconstruction methods. Extending our earlier work on methods ...
  • Andrzejak, Ralph Gregor; Ruzzene, Giulia; Malvestio, Irene (American Institute of Physics (AIP), 2017)
    Networks of coupled oscillators in chimera states are characterized by an intriguing interplay of synchronous and asynchronous motion. While chimera states were initially discovered in mathematical model systems, there is ...