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Network seminar "Quantifying Stability in Deterministic and Stochastic Complex Networks and its Application to Power Grids"

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- 18:00 CRI online

Network seminar "Quantifying Stability in Deterministic and Stochastic Complex Networks and its Application to Power Grids"

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Network seminar "Quantifying Stability in Deterministic and Stochastic Complex Networks and its Application to Power Grids"

We are happy to invite you to this network seminar on the topic of "Quantifying Stability in Deterministic and Stochastic Complex Networks and its Application to Power Grids" by Juergen Kurths. from the Potsdam Institute for Climate Impact Research and Humboldt University Berlin, Institute of Physics, Germany

Abstract: Power grids, the human brain, arrays of coupled lasers, genetic networks, or the Amazon rainforest are all characterized by multistability. The likelihood that these systems will remain in the most desirable of their many stable states depends on their stability against significant perturbations, particularly in a state space populated by undesirable states. Here we claim that the traditional linearization-based approach to stability is in several cases too local to adequately assess how stable a state is. Instead, we quantify it in terms of basin stability, a new measure related to the volume of the basin of attraction. Basin stability is non-local, nonlinear and easily applicable, even to high-dimensional systems. It provides a long-sought-after explanation for the surprisingly regular topologies of neural networks and power grids, which have eluded theoretical description based solely on linear stability. Remarkably, when taking physical losses in the network into account, the back-reaction of the network induces new exotic solitary states in the individual actors, and the stability characteristics of the synchronous state are dramatically altered. These novel effects will have to be explicitly taken into account in the design of future power grids, and their existence poses a challenge for control.

Bio Jürgen Kurths studied mathematics at the University of Rostock. He received the Ph.D.degree from the GDR Academy of Sciences, in 1983. He was a Full Professor with the University of Potsdam, from 1994 to 2008. He has been a Professor of nonlinear dynamics at the Humboldt University, Berlin, and the Chair of the Research Domain Complexity Science of the Potsdam Institute for Climate Impact Research, since 2008. He has published more than 600 articles that are cited more than 48,000 times (H-factor: 99). His primary research interests include synchronization, complex networks, and time series analysis and their applications in Earth Sciences, Physiology, infrastructure and others. He is a Fellow of the American Physical Society. He became a member of the Academia Europaea, in 2010. He received the Alexander von Humboldt Research Award from CSIR, India, in 2005, and the Richardson award from the European Geoscience Union in 2013. He got eight Honory Doctorates and Honorary Professors. He is Editor-in-chief of the Journal of Nonlinear Science, and Chaos and editor of about 10 further journals, such as Europ. Physics Lett.

References:

  • P. Menck, J. Heitzig, N. Marwan, and J. Kurths, Nature Physics 9, 89 (2013)
  • P. Menck, J. Heitzig, J. Kurths, and H. Schellnhuber, Nature Communication 5, 3969 (2014)
  • Y. Zou, T. Pereira, M. Small, Z. Liu, and J. Kurths, Phys. Rev. Lett. 112, 114102 (2014)
  • F. Hellmann, P. Schultz, C. Grabow, J. Heitzig, and J. Kurths, Scient. Rep. 6, 29654 (2016)
  • Y. Xu, Y. Li, H. Zhang, X. Li, and J. Kurths, Scient. Rep. 6, 31505 (2016)
  • J. Nitzbon, P. Schultz, J. Heitzig, J. Kurths, and F. Hellmann, New J. Phys. 19, 033028 (2017)
  • F. Hellmann, P. Schultz, P. Jaros, R. Levchenko, T. Kapitaniak, J. Kurths, and Y. Maistrenko, Nature Communications 11, 592 (2020)

Past network seminars: https://interactiondatalab.com/network-seminar/


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