!!Jürgen Kurths - Selected publications
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[List of publications|http://www.agnld.uni-potsdam.de/~juergen/index_en.html]
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In many instances Prof. Dr. J. Kurths has discovered and identified several new
phenomena and has initiated new research directions in physics which as well have
triggered applications in various fields, ranging from physics and chemistry via
neuroscience and cardiology and more recently also to geosciences.
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Some pertinent scientific gems of his are:
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His seminal paper:
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[[1] M.G. Rosenblum, A.S. Pikovsky and __J. Kurths__, ''Phase Synchronization of
Chaotic Oscillators'', Phys. Rev. Lett. __76__, 1804-1807 (1996) (> 1100 citations).
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Huygen's discovery of phase synchronization of coupled pendulum clocks was
generalized therein to the case of coupled complex systems. This paper has created a
new direction in nonlinear dynamics. This new phenomenon has been experimentally
verified in many systems, to mention only lasers, electrochemistry, or convection but
has also been found in various natural systems such as coupled neurons, eye
movement during reading, or interactions among El Nino and Indian Monsoon. This
influential paper was extensively reviewed in ''Physics Today''.
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A prominent application in cardiology was initiated with:
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[[2] C. Schafer, M.G. Rosenblum, __J. Kurths__ and H. Abel, ''Heartbeat synchronized
with ventilation'', NATURE __392__, 239-240 (1998) (> 300 citations),
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where the complex interaction between human heartbeat and breathing was identified
quantitatively via the concept of complex phase by introducing the synchrogram
technique. This has induced a lot of studies on the cardiovascular system and other
physiological systems.
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Recently, a new test statistics of the phase dynamics based on twin surrogates has
been published in
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[[3] P. van Leeuwen, D. Geue, M. Thiel, D. Cysarz, S. lange, M. Romano, N. Wessel,
__J. Kurths__ and D. Gronemeier, Influence of paced maternal breathing on fetal-
maternal heart rate coordination, Proc. Nat. Acad. Sc. U.S.A. __106__, 13661-13666
(2009) (incl. a commentary about)
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This work allows one to obtain a new and non-invasive insight into the complex
interaction among mother and fetus by analyzing magnetocardiographic data. This
approach could establish a new diagnostics of pregnant women.
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The theory of synchronization and its applications as presented in the seminal text
book:
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[[4] A. Pikovsky, M. Rosenblum and __J. Kurths__, ''Synchronization: A Universal
Concept in Nonlinear Sciences'' (Cambridge University Press, 2001) (> 1500 citations)
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This book is widely known, often cited and serves as the "''Source''" in this field. In
addition, this monograph (which received glowing reviews in numerous journals such
as ''NATURE'', or ''Physics Today'', and praise from world leading experts in the field) has
been translated since into Russian, Japanese and Italian.
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The outstanding review
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[[5] S. Boccaletti, __J. Kurths__, G. Osipov, D. Valladares and C. Zhou, The
_ Synchronization of Chaotic Systems, Phys. Rep. 366, 1-101 (2002) (> 700 citations)
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does summarize basic features of complex synchronization especially in lattices and
extended pattern forming systems.
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A new phenomenon ("coherence resonance”) for the constructive role noise in
nonlinear dynamical systems has been identified with
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[[6] A.S. Pikovsky and __J. Kurths__, ''Coherence Resonance in a Noise-Driven Excitable
System'', Phys. Rev. Lett. 78, 775-778 (1997) (> 600 citations)
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where noise-induced oscillations can be observed in absence of external periodic
forcing. This new phenomenon has been afterwards experimentally verified in lasers,
ion channels, neurons, membranes and various other nonlinear systems. This
phenomenon parallels in impact the related phenomenon of "Stochastic Resonance”.
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Symbolic dynamics a basic concept in nonlinear dynamics has been applied to data
analysis in
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[[7] __J. Kurths__, A. Voss, P. Saparin, ''Quantitative Analysis of Heart Rate Variability'',
CHAOS __5__, 88-94 (1995) (> 190 citations)
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Here, new kinds of measures of complexity basing on symbolic dynamics have been
proposed and successfully applied to the risk identification for some severe heart
diseases. This has inspired new theoretical work on such kind of measures and gave
rise to various applications in cardiology and other fields of medicine. This paper was
reviewed in ''Scientific Int. Journ''.
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Poincare' was the first to realize in 1890 that recurrence is a basic property of
dynamical systems. Eckmann et al. (1987) used this for proposing recurrence plots
providing an estimate of Lyapunov exponents. In the work
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[[8] N. Marwan, M. Romano, M. Thiel and __J. Kurths__, ''Recurrence Plots for the Analysis of Complex Systems'', Phys. Rep. __438__, 240-329 (2007) (> 110 citations)
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this very approach has been substantially generalized for treating a broad spectrum of
problems in data analysis. It has been shown that recurrence plots contain
comprehensive information about dynamical systems. This item has ignited a vivid
activity in applying the scheme to experimental data in medicine, geosciences,
chemistry, physics, etc.
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In the last decade it has been shown that networks with complex topology have an
important potential to model various large complex systems. However, most studies
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so far are restricted to static and non—weighted connectivity, which is not fulfilled in
many applications. Therefore, with his study in
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[[9] C.S. Zhou, A.E. Motter and __J. Kurths__, ''Universality in the Synchronization of
Weighted Random Networks'', Phys. Rev. Lett. 96, 034lOl (2006) ( > 120 citations)
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he has analyzed complex structure formation on weighted networks and has identified
general necessary conditions for synchronization to take place on such networks.
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Recently, he and co-authors generalized this concept by means of extending the
concept to evolving complex networks with the seminal paper
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[[10] J. Donges, N. Marwan, Y. Zou and __J. Kurths__, The backbone ofthe climate
network, Europhys. Lett. __87__, 48007 (2009).
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This new technique has been successfully applied to the climate system. It has
enabled to uncover substantial changes in the network structure, especially the
changes of tipping points, corresponding to the climate system during the last
decades. This approach indeed is very promising for understanding and modeling
climate changes and their impacts.