TY - JOUR A1 - Stolbova, Veronika A1 - Martin, P. A1 - Bookhagen, Bodo A1 - Marwan, Norbert A1 - Kurths, Jürgen T1 - Topology and seasonal evolution of the network of extreme precipitation over the Indian subcontinent and Sri Lanka JF - Nonlinear processes in geophysics N2 - This paper employs a complex network approach to determine the topology and evolution of the network of extreme precipitation that governs the organization of extreme rainfall before, during, and after the Indian Summer Monsoon (ISM) season. We construct networks of extreme rainfall events during the ISM (June-September), post-monsoon (October-December), and pre-monsoon (March-May) periods from satellite-derived (Tropical Rainfall Measurement Mission, TRMM) and rain-gauge interpolated (Asian Precipitation Highly Resolved Observational Data Integration Towards the Evaluation of Water Resources, APHRODITE) data sets. The structure of the networks is determined by the level of synchronization of extreme rainfall events between different grid cells throughout the Indian subcontinent. Through the analysis of various complex-network metrics, we describe typical repetitive patterns in North Pakistan (NP), the Eastern Ghats (EG), and the Tibetan Plateau (TP). These patterns appear during the pre-monsoon season, evolve during the ISM, and disappear during the post-monsoon season. These are important meteorological features that need further attention and that may be useful in ISM timing and strength prediction. Y1 - 2014 U6 - https://doi.org/10.5194/npg-21-901-2014 SN - 1023-5809 VL - 21 IS - 4 SP - 901 EP - 917 PB - Copernicus CY - Göttingen ER - TY - JOUR A1 - Witt, Annette A1 - Feudel, Fred A1 - Gebogi, C. A1 - Kurths, Jürgen A1 - Braun, Robert T1 - Tracer dynamics in a flow of driven vortices JF - Preprint NLD Y1 - 1998 SN - 1432-2935 VL - 51 PB - Univ. CY - Potsdam ER - TY - JOUR A1 - Braun, Robert A1 - Feudel, Fred A1 - Gebogi, C. A1 - Kurths, Jürgen A1 - Witt, Annette T1 - Tracer dynamics in a flow of driven vortices Y1 - 1999 ER - TY - JOUR A1 - Popovych, Orest A1 - Maistrenko, Yu A1 - Mosekilde, Erik A1 - Pikovskij, Arkadij A1 - Kurths, Jürgen T1 - Transcritical loss of synchronization in coupled chaotic systems Y1 - 2000 ER - TY - JOUR A1 - Popovych, Orest A1 - Maistrenko, Yu A1 - Mosekilde, Erik A1 - Pikovskij, Arkadij A1 - Kurths, Jürgen T1 - Transcritical riddling in a system of coupled maps N2 - The transition from fully synchronized behavior to two-cluster dynamics is investigated for a system of N globally coupled chaotic oscillators by means of a model of two coupled logistic maps. An uneven distribution of oscillators between the two clusters causes an asymmetry to arise in the coupling of the model system. While the transverse period-doubling bifurcation remains essentially unaffected by this asymmetry, the transverse pitchfork bifurcation is turned into a saddle-node bifurcation followed by a transcritical riddling bifurcation in which a periodic orbit embedded in the synchronized chaotic state loses its transverse stability. We show that the transcritical riddling transition is always hard. For this, we study the sequence of bifurcations that the asynchronous point cycles produced in the saddle-node bifurcation undergo, and show how the manifolds of these cycles control the magnitude of asynchronous bursts. In the case where the system involves two subpopulations of oscillators with a small mismatch of the parameters, the transcritical riddling will be replaced by two subsequent saddle-node bifurcations, or the saddle cycle involved in the transverse destabilization of the synchronized chaotic state may smoothly shift away from the synchronization manifold. In this way, the transcritical riddling bifurcation is substituted by a symmetry-breaking bifurcation, which is accompanied by the destruction of a thin invariant region around the symmetrical chaotic state. Y1 - 2001 ER - TY - JOUR A1 - Hassan, M. K. A1 - Kurths, Jürgen T1 - Transition from random to ordered fractals in fragmentation of particles in an open system Y1 - 2001 ER - TY - JOUR A1 - Heuer, Axel A1 - Schultheiss, J. A1 - Hodgson, N. A1 - Kurths, Jürgen A1 - Menzel, Ralf A1 - Raab, Volker T1 - Transverse effects in phase conjugate laser mirrors based on stimulated brillouin scattering Y1 - 1999 ER - TY - JOUR A1 - Zhang, H. A1 - Hu, B. A1 - Hu, G. A1 - Ouyang, Q. A1 - Kurths, Jürgen T1 - Turbulence control by developing a spiral wave with a periodic signal injection in the complex Ginzburg-Laundau equation Y1 - 2002 ER - TY - GEN A1 - Thiel, Marco A1 - Romano, Maria Carmen A1 - Kurths, Jürgen A1 - Rolfs, Martin T1 - Twin Surrogates to Test for Complex Synchronisation N2 - We present an approach to generate (multivariate) twin surrogates (TS) based on recurrence properties. This technique generates surrogates which correspond to an independent copy of the underlying system, i. e. they induce a trajectory of the underlying system starting at different initial conditions. We show that these surrogates are well suited to test for complex synchronisation and exemplify this for the paradigmatic system of R¨ossler oscillators. The proposed test enables to assess the statistical relevance of a synchronisation analysis from passive experiments which are typical in natural systems. T3 - Zweitveröffentlichungen der Universität Potsdam : Humanwissenschaftliche Reihe - paper 264 Y1 - 2006 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus-57231 ER - TY - JOUR A1 - Thiel, Marco A1 - Romano, Maria Carmen A1 - Kurths, Jürgen A1 - Rolfs, Martin A1 - Kliegl, Reinhold T1 - Twin surrogates to test for complex synchronisation N2 - We present an approach to generate (multivariate) twin surrogates (TS) based on recurrence properties. This technique generates surrogates which correspond to an independent copy of the underlying system, i.e. they induce a trajectory of the underlying system starting at different initial conditions. We show that these surrogates are well suited to test for complex synchronisation and exemplify this for the paradigmatic system of Rossler oscillators. The proposed test enables to assess the statistical relevance of a synchronisation analysis from passive experiments which are typical in natural systems Y1 - 2006 UR - http://www.mendeley.com/research/twin-surrogates-to-test-for-complex-synchronisation/#page-1 U6 - https://doi.org/10.1209/epl/i2006-10147-0 ER -