216 citations · 770 across the 15 of their papers we have counts for
11 papers · 1 filter
Stability of amplitude chimeras in oscillator networks
L. Tumash, A. Zakharova, J. Lehnert +2
We show that amplitude chimeras in ring networks of Stuart-Landau oscillators with symmetry-breaking nonlocal coupling represent saddle-states in the underlying phase space of the…
Synchronization Patterns: From Network Motifs to Hierarchical Networks
Sanjukta Krishnagopal, Judith Lehnert, Winnie Poel +2
We investigate complex synchronization patterns such as cluster synchronization and partial amplitude death in networks of coupled Stuart-Landau oscillators with fractal connectivi…
Synchronization in heterogeneous FitzHugh-Nagumo networks with hierarchical architecture
S. A. Plotnikov, J. Lehnert, A. L. Fradkov +1
We study synchronization in heterogeneous FitzHugh-Nagumo networks. It is well known that heterogeneities in the nodes hinder synchronization when becoming too large. Here, we deve…
Adaptive control of synchronization in delay-coupled heterogeneous networks of FitzHugh-Nagumo nodes
S. A. Plotnikov, J. Lehnert, A. L. Fradkov +1
We study synchronization in delay-coupled neural networks of heterogeneous nodes. It is well known that heterogeneities in the nodes hinder synchronization when becoming too large.…
Synchronization-Desynchronization Transitions in Complex Networks: An Interplay of Distributed Time Delay and Inhibitory Nodes
Carolin Wille, Judith Lehnert, Eckehard Schöll
We investigate the combined effects of distributed delay and the balance between excitatory and inhibitory nodes on the stability of synchronous oscillations in a network of couple…
Controlling cluster synchronization by adapting the topology
Judith Lehnert, Philipp Hövel, Anton Selivanov +2
We suggest an adaptive control scheme for the control of zero-lag and cluster synchronization in delay-coupled networks. Based on the speed-gradient method, our scheme adapts the t…
Heterogeneous Delays in Neural Networks
Caglar Cakan, Judith Lehnert, Eckehard Schöll
We investigate heterogeneous coupling delays in complex networks of excitable elements described by the FitzHugh-Nagumo model. The effects of discrete as well as of uni- and bimoda…
Adaptation controls synchrony and cluster states of coupled threshold-model neurons
Josef Ladenbauer, Judith Lehnert, Hadi Rankoohi +3
We analyze zero-lag and cluster synchrony of delay-coupled non-smooth dynamical systems by extending the master stability approach, and apply this to networks of adaptive threshold…
Adaptation controls synchrony and cluster states of coupled threshold-model neurons: Supplemental Material
Josef Ladenbauer, Judith Lehnert, Hadi Rankoohi +2
Derivation of the transition conditions for the variational equations for zero-lag and cluster synchrony.
Adaptive synchronization in delay-coupled networks of Stuart-Landau oscillators
Anton Selivanov, Judith Lehnert, Thomas Dahms +3
We consider networks of delay-coupled Stuart-Landau oscillators. In these systems, the coupling phase has been found to be a crucial control parameter. By proper choice of this par…
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…