446 citations · 3.6k across the 41 of their papers we have counts for
12 papers · 1 filter
Chimera states in population dynamics: networks with fragmented and hierarchical connectivities
Johanne Hizanidis, Evangelia Panagakou, Iryna Omelchenko +3
We study numerically the development of chimera states in networks of nonlocally coupled oscillators whose limit cycles emerge from a Hopf bifurcation. This dynamical system is ins…
Clustered Chimera States in Systems of Type-I Excitability
Andrea Vüllings, Johanne Hizanidis, Iryna Omelchenko +1
Chimera is a fascinating phenomenon of coexisting synchronized and desynchronized behaviour that was discovered in networks of nonlocally coupled identical phase oscillators over t…
Control of unstable steady states in neutral time-delayed systems
K. B. Blyuss, Y. N. Kyrychko, P. Hoevel +1
We present an analysis of time-delayed feedback control used to stabilize an unstable steady state of a neutral delay differential equation. Stability of the controlled system is a…
Asymptotic properties of the spectrum of neutral delay differential equations
Y. N. Kyrychko, K. B. Blyuss, P. Hoevel +1
Spectral properties and transition to instability in neutral delay differential equations are investigated in the limit of large delay. An approximation of the upper boundary of st…
Transition from spatial coherence to incoherence in coupled chaotic systems
Iryna Omelchenko, Bruno Riemenschneider, Philipp Hövel +2
We investigate the spatio-temporal dynamics of coupled chaotic systems with nonlocal interactions, where each element is coupled to its nearest neighbors within a finite range. Dep…
Time-delayed feedback control of delay-coupled neurosystems and lasers
Philipp Hövel, Markus A. Dahlem, Thomas Dahms +2
We discuss applications of time-delayed feedback control to delay-coupled neural systems and lasers, in the framework of the FitzHugh-Nagumo neuron model and the Lang-Kobayashi las…
Controlling synchrony by delay coupling in networks: from in-phase to splay and cluster states
Chol-Ung Choe, Thomas Dahms, Philipp Hoevel +1
We study synchronization in delay-coupled oscillator networks, using a master stability function approach. Within a generic model of Stuart-Landau oscillators (normal form of super…
Stabilizing continuous-wave output in semiconductor lasers by time-delayed feedback
Thomas Dahms, Philipp Hövel, Eckehard Schöll
The stabilization of steady states is studied in a modified Lang-Kobayashi model of a semiconductor laser. We show that multiple time-delayed feedback, realized by a Fabry-Perot re…
Control of synchronization in coupled neural systems by time-delayed feedback
Philipp Hoevel, Markus A. Dahlem, Eckehard Schoell
We discuss the synchronization of coupled neurons which are modelled as FitzHugh-Nagumo systems. As smallest entity in a larger network, we focus on two diffusively coupled subsyst…
Control of unstable steady states by extended time-delayed feedback
Thomas Dahms, Philipp Hoevel, Eckehard Schoell
Time-delayed feedback methods can be used to control unstable periodic orbits as well as unstable steady states. We present an application of extended time delay autosynchronizatio…
Refuting the odd number limitation of time-delayed feedback control
B. Fiedler, V. Flunkert, M. Georgi +2
We refute an often invoked theorem which claims that a periodic orbit with an odd number of real Floquet multipliers greater than unity can never be stabilized by time-delayed feed…
Stability domains for time-delay feedback control with latency
Philipp Hövel, Joshua E. S. Socolar
We generalize a known analytical method for determining the stability of periodic orbits controlled by time-delay feedback methods when latencies associated with the generation and…