Talk on Friday Jan 27, 2023 at 11:00 Place: IFISC Seminar Room Title: Maximum Lyapunov Exponent for Temporal Networks Speaker: Annalisa Caligiuri, IFISC Abstract: <pre style="text-align:left"> <span style="font-size:14px"><span style="color:#000000"> <span style="font-family:arial,sans-serif"><span style="font-size:small"><span dir="ltr" style="font-family:sans-serif"><span dir="ltr" style="font-family:sans-serif">By interpreting a temporal network as a trajectory of a latent graph</span> <span dir="ltr" style="font-family:sans-serif">dynamical system, here we introduce the concept of dynamical instabil-</span> <span dir="ltr" style="font-family:sans-serif">ity of a temporal network, and accordingly derive a measure to estimate</span> <span dir="ltr" style="font-family:sans-serif">the network Maximum Lyapunov Exponent (nMLE) of a temporal net-</span> <span dir="ltr" style="font-family:sans-serif">work trajectory. By building and extending classical algorithmic methods</span> <span dir="ltr" style="font-family:sans-serif">from nonlinear time series analysis into the network realm, we show</span> <span dir="ltr" style="font-family:sans-serif">how to quantify sensitive dependence on initial conditions and practi-</span> <span dir="ltr" style="font-family:sans-serif">cally estimate the nMLE directly from single network trajectories. We</span> <span dir="ltr" style="font-family:sans-serif">validate our method for a range of synthetic generative network models</span> <span dir="ltr" style="font-family:sans-serif">and discuss its applicability in formulating and answering new questions</span> <span dir="ltr" style="font-family:sans-serif">on the chaotic nature of interacting systems in different disciplines. </span></span></span></span></span></span></pre> Url event:https://ifisc.uib-csic.es/en/events/seminars/maximum-lyapunov-exponent-for-t...