Dresden 2017 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 12: Delay and Feedback Dynamics

DY 12.2: Talk

Monday, March 20, 2017, 15:45–16:00, ZEU 147

Lyapunov vectors of dynamical systems with time-varying delay — •David Müller, Andreas Otto, and Günter Radons — Institute of Physics, Chemnitz University of Technology, 09107 Chemnitz, Germany

Time-delay systems arise in many fields such as life science, control theory, synchronization of networks, climate dynamics and engineering. Time-varying delays are introduced for example to take into account environmental fluctuations, for improving control and synchronization strategies and lead to interesting dynamical properties.

We have identified two classes of systems with time-varying delay, whereby the classification depends only on the functional structure of the delay. Systems with conservative delay are equivalent to systems with constant delay in the sense that they are connected by a timescale transformation under which dynamical quantities as the Lyapunov spectrum are invariant. Contrarily, systems with dissipative delay are not equivalent to systems with constant delay which leads to fundamental differences in the dynamics and characteristic dynamical quantities as the asymptotic scaling behavior of the Lyapunov spectrum.

In this talk we focus on the influence of the delay class on the characteristic properties of the covariant Lyapunov vectors.