174 citations · 727 across the 10 of their papers we have counts for
10 papers
Discontinuous Attractor Dimension at the Synchronization Transition of Time-Delayed Chaotic Systems
Steffen Zeeb, Thomas Dahms, Valentin Flunkert +3
The attractor dimension at the transition to complete synchronization in a network of chaotic units with time-delayed couplings is investigated. In particular, we determine the Kap…
Chaos synchronization in networks of delay-coupled lasers: Role of the coupling phases
Valentin Flunkert, Eckehard Schöll
We derive rigorous conditions for the synchronization of all-optically coupled lasers. In particular, we elucidate the role of the optical coupling phases for synchronizability by…
Strong and weak chaos in nonlinear networks with time-delayed couplings
Sven Heiligenthal, Thomas Dahms, Serhiy Yanchuk +5
We study chaotic synchronization in networks with time-delayed coupling. We introduce the notion of strong and weak chaos, distinguished by the scaling properties of the maximum Ly…
Adaptive Tuning of Feedback Gain in Time-Delayed Feedback Control
Judith Lehnert, Philipp Hövel, Valentin Flunkert +3
We demonstrate that time-delayed feedback control can be improved by adaptively tuning the feedback gain. This adaptive controller is applied to the stabilization of an unstable fi…
Synchronizing distant nodes: a universal classification of networks
V. Flunkert, S. Yanchuk, T. Dahms +1
Stability of synchronization in delay-coupled networks of identical units generally depends in a complicated way on the coupling topology. We show that for large coupling delays sy…
Symmetry-breaking transitions in networks of nonlinear circuit elements
Martin Heinrich, Thomas Dahms, Valentin Flunkert +2
We investigate a nonlinear circuit consisting of N tunnel diodes in series, which shows close similarities to a semiconductor superlattice or to a neural network. Each tunnel diode…