TY  - JOUR
A1  - Frasca, Mattia
A1  - Bergner, Andre
A1  - Kurths, Jürgen
A1  - Fortuna, Luigi
T1  - Bifurcations in a star-like network of Stuart-Landau oscillators
JF  - International journal of bifurcation and chaos : in applied sciences and engineering
N2  - In this paper, we analytically study a star motif of Stuart-Landau oscillators, derive the bifurcation diagram and discuss the different forms of synchronization arising in such a system. Despite the parameter mismatch between the central node and the peripheral ones, an analytical approach independent of the number of units in the system has been proposed. The approach allows to calculate the separatrices between the regions with distinct dynamical behavior and to determine the nature of the different transitions to synchronization appearing in the system. The theoretical analysis is supported by numerical results.
KW  - Complex networks
KW  - synchronization
KW  - bifurcations
Y1  - 2012
U6  - https://doi.org/10.1142/S0218127412501738
SN  - 0218-1274
VL  - 22
IS  - 7
PB  - World Scientific
CY  - Singapore
ER  - 
TY  - JOUR
A1  - Malik, Nishant
A1  - Bookhagen, Bodo
A1  - Marwan, Norbert
A1  - Kurths, Jürgen
T1  - Analysis of spatial and temporal extreme monsoonal rainfall over South Asia using complex networks
JF  - Climate dynamics : observational, theoretical and computational research on the climate system
N2  - We present a detailed analysis of summer monsoon rainfall over the Indian peninsular using nonlinear spatial correlations. This analysis is carried out employing the tools of complex networks and a measure of nonlinear correlation for point processes such as rainfall, called event synchronization. This study provides valuable insights into the spatial organization, scales, and structure of the 90th and 94th percentile rainfall events during the Indian summer monsoon (June-September). We furthermore analyse the influence of different critical synoptic atmospheric systems and the impact of the steep Himalayan topography on rainfall patterns. The presented method not only helps us in visualising the structure of the extreme-event rainfall fields, but also identifies the water vapor pathways and decadal-scale moisture sinks over the region. Furthermore a simple scheme based on complex networks is presented to decipher the spatial intricacies and temporal evolution of monsoonal rainfall patterns over the last 6 decades.
KW  - Indian summer monsoon
KW  - Event synchronization
KW  - Complex networks
KW  - Rainfall patterns
Y1  - 2012
U6  - https://doi.org/10.1007/s00382-011-1156-4
SN  - 0930-7575
VL  - 39
IS  - 3-4
SP  - 971
EP  - 987
PB  - Springer
CY  - New York
ER  -