Berlin 2015 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 62: Poster - Dynamics
DY 62.3: Poster
Thursday, March 19, 2015, 16:00–18:00, Poster A
Transient dynamics reveal network connectivity — •Jose Casadiego1,3 and Marc Timme1,2,3 — 1Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, 37077 Göttingen, Germany — 2Institute for Nonlinear Dynamics, Faculty of Physics, University of Göttingen, 37077 Göttingen, Germany — 3IMPRS Physics of Biological and Complex Systems, Göttingen Graduate School for Neurosciences, Biophysics and Molecular Biosciences, 37077 Göttingen, Germany
Determining the physical structure of interactions within a network poses a great challenge to date. Still, current methods are mostly designed to deal with long recordings of network dynamics, which (sometimes) may be infeasible. Thus, developing methods that rely only on short recordings will fill an important gap. Here we demonstrate that transient-responses of networks to dynamical perturbations reveal its structure. By applying external driving signals to units, we track how networks transiently respond to signals for short periods of time (~10 measurements). We explicitly demonstrate the direct relation between these transient responses and network connectivity. As examples, we retrieve full connectivity of networks of coupled Kuramoto-like oscillators exhibiting complex non-periodic dynamics. Assuming sparseness, we safely recover network connectivity even if the number of different transient dynamics is much smaller than the number of units in the network. Our approach is model independent and does not rely on particular features of specific systems (e.g. fixed points or limit cycles).