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Contemporary Physics Volume 48, 2007 - Issue 6
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Original Articles

From nonlinearity to causality: statistical testing and inference of physical mechanisms underlying complex dynamics

Milan Paluš Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod Vodárenskou věží 2, 182 07, Prague 8, Czech RepublicCorrespondence[email protected]
Pages 307-348 | Received 11 Oct 2007, Accepted 31 Jan 2008, Published online: 30 Apr 2008

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NataliaB. Janson. (2012) Non-linear dynamics of biological systems. Contemporary Physics 53:2, pages 137-168.
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Articles from other publishers (48)

Andreu Arinyo-i-Prats, Víctor J. López-Madrona & Milan Paluš. (2024) Lead/Lag directionality is not generally equivalent to causality in nonlinear systems: Comparison of phase slope index and conditional mutual information. NeuroImage 292, pages 120610.
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Wojciech Szumiński. (2024) A new model of variable-length coupled pendulums: from hyperchaos to superintegrability. Nonlinear Dynamics 112:6, pages 4117-4145.
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Timo Bröhl, Thorsten Rings, Jan Pukropski, Randi von Wrede & Klaus Lehnertz. (2024) The time-evolving epileptic brain network: concepts, definitions, accomplishments, perspectives. Frontiers in Network Physiology 3.
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Nikola Jajcay & Jaroslav Hlinka. (2023) Towards a dynamical understanding of microstate analysis of M/EEG data. NeuroImage 281, pages 120371.
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Qimin Deng & Zuntao Fu. (2022) Regional changes of surface air temperature annual cycle in the Northern Hemisphere land areas. International Journal of Climatology 43:5, pages 2238-2249.
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Amitava Banerjee, Sarthak Chandra & Edward Ott. (2023) Network inference from short, noisy, low time-resolution, partial measurements: Application to C. elegans neuronal calcium dynamics . Proceedings of the National Academy of Sciences 120:12.
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Aditi Kathpalia & Nithin Nagaraj. (2023) Granger causality for compressively sensed sparse signals. Physical Review E 107:3.
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Chris G. Antonopoulos. (2023) Network inference combining mutual information rate and statistical tests. Communications in Nonlinear Science and Numerical Simulation 116, pages 106896.
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Angeliki Papana, Catherine Kyrtsou, Dimitris Kugiumtzis & Cees Diks. (2022) Identification of causal relationships in non-stationary time series with an information measure: Evidence for simulated and financial data. Empirical Economics.
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Ola Kwiecien, Tobias Braun, Camilla Francesca Brunello, Patrick Faulkner, Niklas Hausmann, Gerd Helle, Julie A. Hoggarth, Monica Ionita, Christopher S. Jazwa, Saige Kelmelis, Norbert Marwan, Cinthya Nava-Fernandez, Carole Nehme, Thomas Opel, Jessica L. Oster, Aurel Perşoiu, Cameron Petrie, Keith Prufer, Saija M. Saarni, Annabel Wolf & Sebastian F.M. Breitenbach. (2022) What we talk about when we talk about seasonality – A transdisciplinary review. Earth-Science Reviews 225, pages 103843.
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Marco Baldovin, Fabio Cecconi & Angelo Vulpiani. (2020) Understanding causation via correlations and linear response theory. Physical Review Research 2:4.
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V. M. Sokol’skii, I. Yu. Petrova, I. Z. Kitiashvili, Yu. A. Lezhnina & M. V. Sokol’skii. (2020) Automated System for Measuring an Integral Pain Index in Patients with General Anesthesia. Journal of Communications Technology and Electronics 65:10, pages 1208-1216.
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Wenxu Lu, Mingkeng Duan & Geli Wang. (2020) Case studies on driving factor with different scales: a modified Lorenz system and 500-hPa geopotential height. Theoretical and Applied Climatology 141:1-2, pages 455-463.
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Milan Paluš. (2019) Coupling in complex systems as information transfer across time scales. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377:2160, pages 20190094.
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Henk A. Dijkstra, Emilio Hernández-García, Cristina Masoller & Marcelo Barreiro. 2019. Networks in Climate. Networks in Climate.
Nikola Jajcay, Sergey Kravtsov, George Sugihara, Anastasios A. Tsonis & Milan Paluš. (2018) Synchronization and causality across time scales in El Niño Southern Oscillation. npj Climate and Atmospheric Science 1:1.
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Alessio Perinelli & Leonardo Ricci. (2018) Identification of suitable embedding dimensions and lags for time series generated by chaotic, finite-dimensional systems. Physical Review E 98:5.
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Xuegeng Mao, Pengjian Shang, Jing Wang & Yan Ma. (2018) Characterizing time series by extended complexity-entropy curves based on Tsallis, Rényi, and power spectral entropy. Chaos: An Interdisciplinary Journal of Nonlinear Science 28:11.
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Milan Paluš, Anna Krakovská, Jozef Jakubík & Martina Chvosteková. (2018) Causality, dynamical systems and the arrow of time. Chaos: An Interdisciplinary Journal of Nonlinear Science 28:7.
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Gemma Lancaster, Dmytro Iatsenko, Aleksandra Pidde, Valentina Ticcinelli & Aneta Stefanovska. (2018) Surrogate data for hypothesis testing of physical systems. Physics Reports 748, pages 1-60.
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Anna Krakovská, Jozef Jakubík, Martina Chvosteková, David Coufal, Nikola Jajcay & Milan Paluš. (2018) Comparison of six methods for the detection of causality in a bivariate time series. Physical Review E 97:4.
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Milan Paluš. 2018. Advances in Nonlinear Geosciences. Advances in Nonlinear Geosciences 427 463 .
Julian Maluck & Reik V. Donner. (2017) Distributions of positive correlations in sectoral value added growth in the global economic network*. The European Physical Journal B 90:2.
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Klaus Lehnertz, Christian Geier, Thorsten Rings & Kirsten Stahn. (2017) Capturing time-varying brain dynamics. EPJ Nonlinear Biomedical Physics 5, pages 2.
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Andreas Müller, Jan F Kraemer, Thomas Penzel, Hendrik Bonnemeier, Jürgen Kurths & Niels Wessel. (2016) Causality in physiological signals. Physiological Measurement 37:5, pages R46-R72.
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Philip Clemson, Gemma Lancaster & Aneta Stefanovska. (2016) Reconstructing Time-Dependent Dynamics. Proceedings of the IEEE 104:2, pages 223-241.
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Aneta Stefanovska, Philip T. Clemson & Yevhen F. Suprunenko. 2016. Selforganization in Complex Systems: The Past, Present, and Future of Synergetics. Selforganization in Complex Systems: The Past, Present, and Future of Synergetics 227 246 .
Cove Sturtevant, Benjamin L. Ruddell, Sara Helen Knox, Joseph Verfaillie, Jaclyn Hatala Matthes, Patricia Y. Oikawa & Dennis Baldocchi. (2016) Identifying scale‐emergent, nonlinear, asynchronous processes of wetland methane exchange. Journal of Geophysical Research: Biogeosciences 121:1, pages 188-204.
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J. I. Deza, M. Barreiro & C. Masoller. (2015) Assessing the direction of climate interactions by means of complex networks and information theoretic tools. Chaos: An Interdisciplinary Journal of Nonlinear Science 25:3.
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E. A. Martin & J. Davidsen. (2014) Estimating time delays for constructing dynamical networks. Nonlinear Processes in Geophysics 21:5, pages 929-937.
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Nicolás Rubido, Arturo C Martí, Ezequiel Bianco-Martínez, Celso Grebogi, Murilo S Baptista & Cristina Masoller. (2014) Exact detection of direct links in networks of interacting dynamical units. New Journal of Physics 16:9, pages 093010.
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Philip T. Clemson & Aneta Stefanovska. (2014) Discerning non-autonomous dynamics. Physics Reports 542:4, pages 297-368.
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J. I. Deza, C. Masoller & M. Barreiro. (2014) Distinguishing the effects of internal and forced atmospheric variability in climate networks. Nonlinear Processes in Geophysics 21:3, pages 617-631.
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J.I. Deza, M. Barreiro & C. Masoller. (2013) Inferring interdependencies in climate networks constructed at inter-annual, intra-season and longer time scales. The European Physical Journal Special Topics 222:2, pages 511-523.
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Dmitry A. Smirnov. (2013) Spurious causalities with transfer entropy. Physical Review E 87:4.
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Chih-Hao ChangPei-Chen Lo. (2013) Effects of Long-Term Dharma-Chan Meditation on Cardiorespiratory Synchronization and Heart Rate Variability Behavior. Rejuvenation Research 16:2, pages 115-123.
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Philip T. Clemson, Spase Petkoski, Tomislav Stankovski & Aneta Stefanovska. 2013. Nonautonomous Dynamical Systems in the Life Sciences. Nonautonomous Dynamical Systems in the Life Sciences 163 197 .
Pierre-Olivier Amblard & Olivier Michel. (2012) The Relation between Granger Causality and Directed Information Theory: A Review. Entropy 15:1, pages 113-143.
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Matteo Detto, Annalisa Molini, Gabriel Katul, Paul Stoy, Sari Palmroth & Dennis Baldocchi. (2012) Causality and Persistence in Ecological Systems: A Nonparametric Spectral Granger Causality Approach. The American Naturalist 179:4, pages 524-535.
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B. MUSIZZA, F. F. BAJROVIĆ, J. PETROVČIČ, A. STEFANOVSKA & S. RIBARIČ. (2012) FLUCTUATIONS AND INTERACTIONS BETWEEN BRAIN WAVES DURING DEEP AND SHALLOW ANESTHESIA. Fluctuation and Noise Letters 11:01, pages 1240018.
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A. Müller, M. Riedl, N. Wessel, J. Kurths & T. Penzel. (2012) Methoden zur Analyse kardiorespiratorischer und kardiovaskulärer KopplungenMethods for the analysis of cardiorespiratory and cardiovascular coupling. Somnologie - Schlafforschung und Schlafmedizin 16:1, pages 24-31.
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M. Paluš, D. Hartman, J. Hlinka & M. Vejmelka. (2011) Discerning connectivity from dynamics in climate networks. Nonlinear Processes in Geophysics 18:5, pages 751-763.
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D. Hartman, J. Hlinka, M. Paluš, D. Mantini & M. Corbetta. (2011) The role of nonlinearity in computing graph-theoretical properties of resting-state functional magnetic resonance imaging brain networks. Chaos: An Interdisciplinary Journal of Nonlinear Science 21:1.
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Daniel Liptzin, Whendee L. Silver & Matteo Detto. (2010) Temporal Dynamics in Soil Oxygen and Greenhouse Gases in Two Humid Tropical Forests. Ecosystems 14:2, pages 171-182.
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Jaroslav Hlinka, Milan Paluš, Martin Vejmelka, Dante Mantini & Maurizio Corbetta. (2011) Functional connectivity in resting-state fMRI: Is linear correlation sufficient?. NeuroImage 54:3, pages 2218-2225.
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Bojan Musizza & Samo Ribaric. (2010) Monitoring the Depth of Anaesthesia. Sensors 10:12, pages 10896-10935.
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Annalisa Molini, Gabriel G. Katul & Amilcare Porporato. (2010) Causality across rainfall time scales revealed by continuous wavelet transforms. Journal of Geophysical Research: Atmospheres 115:D14.
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Milan Paluš & Dagmar Novotná. (2009) Phase-coherent oscillatory modes in solar and geomagnetic activity and climate variability. Journal of Atmospheric and Solar-Terrestrial Physics 71:8-9, pages 923-930.
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