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  • 1
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    American Institute of Physics (AIP)
    In: Chaos
    Publication Date: 2015-12-11
    Description: The description and analysis of spatio-temporal dynamics is a crucial task in many scientific disciplines. In this work, we propose a method which uses the mapogram as a similarity measure between spatially distributed data instances at different time points. The resulting similarity values of the pairwise comparison are used to construct a recurrence plot in order to benefit from established tools of recurrence quantification analysis and recurrence network analysis. In contrast to other recurrence tools for this purpose, the mapogram approach allows the specific focus on different spatial scales that can be used in a multi-scale analysis of spatio-temporal dynamics. We illustrate this approach by application on mixed dynamics, such as traveling parallel wave fronts with additive noise, as well as more complicate examples, pseudo-random numbers and coupled map lattices with a semi-logistic mapping rule. Especially the complicate examples show the usefulness of the multi-scale consideration in order to take spatial pattern of different scales and with different rhythms into account. So, this mapogram approach promises new insights in problems of climatology, ecology, or medicine.
    Print ISSN: 1054-1500
    Electronic ISSN: 1089-7682
    Topics: Physics
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  • 2
    Publication Date: 2012-02-28
    Description: Author(s): E. J. Ngamga, D. V. Senthilkumar, A. Prasad, P. Parmananda, N. Marwan, and J. Kurths The probability densities of the mean recurrence time, which is the average time needed for a system to recur to a previously visited neighborhood, are investigated in various dynamical regimes and are found to be in agreement with those of the finite-time Lyapunov exponents. The important advantage... [Phys. Rev. E 85, 026217] Published Mon Feb 27, 2012
    Keywords: Chaos and pattern formation
    Print ISSN: 1539-3755
    Electronic ISSN: 1550-2376
    Topics: Physics
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  • 3
    Publication Date: 2014-10-16
    Description: Article Extreme rainfall events in the eastern Central Andes can result in substantial economic and ecological damage, yet their prediction is difficult. Here, the authors introduce the concept of network divergence and propose a general framework for the prediction of extreme events. Nature Communications doi: 10.1038/ncomms6199 Authors: N. Boers, B. Bookhagen, H. M. J. Barbosa, N. Marwan, J. Kurths, J. A. Marengo
    Electronic ISSN: 2041-1723
    Topics: Biology , Chemistry and Pharmacology , Natural Sciences in General , Physics
    Published by Springer Nature
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  • 4
    Publication Date: 2012-11-10
    Description: The role of climate change in the development and demise of Classic Maya civilization (300 to 1000 C.E.) remains controversial because of the absence of well-dated climate and archaeological sequences. We present a precisely dated subannual climate record for the past 2000 years from Yok Balum Cave, Belize. From comparison of this record with historical events compiled from well-dated stone monuments, we propose that anomalously high rainfall favored unprecedented population expansion and the proliferation of political centers between 440 and 660 C.E. This was followed by a drying trend between 660 and 1000 C.E. that triggered the balkanization of polities, increased warfare, and the asynchronous disintegration of polities, followed by population collapse in the context of an extended drought between 1020 and 1100 C.E.〈br /〉〈span class="detail_caption"〉Notes: 〈/span〉Kennett, Douglas J -- Breitenbach, Sebastian F M -- Aquino, Valorie V -- Asmerom, Yemane -- Awe, Jaime -- Baldini, James U L -- Bartlein, Patrick -- Culleton, Brendan J -- Ebert, Claire -- Jazwa, Christopher -- Macri, Martha J -- Marwan, Norbert -- Polyak, Victor -- Prufer, Keith M -- Ridley, Harriet E -- Sodemann, Harald -- Winterhalder, Bruce -- Haug, Gerald H -- New York, N.Y. -- Science. 2012 Nov 9;338(6108):788-91. doi: 10.1126/science.1226299.〈br /〉〈span class="detail_caption"〉Author address: 〈/span〉Department of Anthropology, Pennsylvania State University, University Park, PA 16802, USA. djk23@psu.edu〈br /〉〈span class="detail_caption"〉Record origin:〈/span〉 〈a href="http://www.ncbi.nlm.nih.gov/pubmed/23139330" target="_blank"〉PubMed〈/a〉
    Keywords: Agriculture/history ; Belize ; Caves ; Civilization/*history ; Climate Change/*history ; Droughts/history ; History, Ancient ; Humans ; Indians, Central American/*history ; Oxygen Isotopes ; Political Systems/*history ; *Rain ; Warfare
    Print ISSN: 0036-8075
    Electronic ISSN: 1095-9203
    Topics: Biology , Chemistry and Pharmacology , Computer Science , Medicine , Natural Sciences in General , Physics
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