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Neelima Gupte (Indian Institute of Technology Madras, Chennai)
Date & Time
Mon, 04 December 2017, 15:00 to 16:00
Emmy Noether Seminar Room, ICTS Campus, Bangalore

Mapping time series onto graphs and the use of graph theory methods opens up the possibility to study the structure of the phase space manifolds underlying the fluctuations of a dynamical variable. Here, we go beyond the standard graph measures and analyze the higher-order structures such as triangles, tetrahedra and higher-order cliques and their complexes present in the time-series networks, which are detectable by algebraic topology methods. We apply our methods to the dynamical evolution of the logistic map, a traffic problem, and fMRI data.