285 citations · 1k across the 30 of their papers we have counts for
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Chimera Dynamics of Generalized Kuramoto-Sakaguchi Oscillators in Two-population Networks
Seungjae Lee, Katharina Krischer
Chimera dynamics is characterized by the coexistence of coherence and incoherence, arising from a symmetry-breaking mechanism. Extensive research has been performed in various syst…
Heteroclinic Switching between Chimeras in a Ring of Six Oscillator Populations
Seungjae Lee, Katharina Krischer
In a network of coupled oscillators, a symmetry-broken dynamical state characterized by the coexistence of coherent and incoherent parts can spontaneously form. It is known as a ch…
Nontrivial Twisted States in Nonlocally Coupled Stuart-Landau Oscillators
Seungjae Lee, Katharina Krischer
A twisted state is an important yet simple form of collective dynamics in an oscillatory medium. Here, we describe a nontrivial type of twisted state in a system of nonlocally coup…
Bifurcations of Clusters and Collective Oscillations in Networks of Bistable Units
Munir Salman, Christian Bick, Katharina Krischer
We investigate dynamics and bifurcations in a mathematical model that captures electrochemical experiments on arrays of microelectrodes. In isolation, each individual microelectrod…
Attracting Poisson Chimeras in Two-population Networks
Seungjae Lee, Katharina Krischer
Chimera states, i.e., dynamical states composed of coexisting synchronous and asynchronous oscillations, have been reported to exist in diverse topologies of oscillators in simulat…
Connecting minimal chimeras and fully asymmetric chaotic attractors through equivariant pitchfork bifurcations
Sindre W. Haugland, Katharina Krischer
Highly symmetric networks can exhibit partly symmetry-broken states, including clusters and chimera states, i.e., states of coexisting synchronized and unsynchronized elements. We…
Between Synchrony and Turbulence: Intricate Hierarchies of Coexistence Patterns
Sindre W. Haugland, Anton Tosolini, Katharina Krischer
Coupled oscillators, even identical ones, display a wide range of behaviours, among them synchrony and incoherence. The 2002 discovery of so-called chimera states, states of coexis…
Self-organized Multi-Frequency Clusters in an Oscillating Electrochemical System with Strong Nonlinear Coupling
Maximilian Patzauer, Katharina Krischer
We study the spatio-temporal dynamics of the oscillatory photo-electrodissolution of n-type Si in a fluoride-containing electrolyte under anodic potentials using in-situ ellipsomet…
Bichaoticity Induced by Inherent Birhythmicity during the Oscillatory Electrodissolution of Silicon
Anton Tosolini, Maximilian Patzauer, Katharina Krischer
The electrodissolution of p-type silicon in a fluoride-containing electrolyte is a prominent electrochemical oscillator with a still unknown oscillation mechanism. In this article,…
Destructive Impact of Molecular Noise on Nanoscale Electrochemical Oscillators
Filippo G. Cosi, Katharina Krischer
We study the loss of coherence of electrochemical oscillations on meso- and nanosized electrodes with numeric simulations of the electrochemical master equation for a prototypical…
A robust autoassociative memory with coupled networks of Kuramoto-type oscillators
Daniel Heger, Katharina Krischer
Uncertain recognition success, unfavorable scaling of connection complexity or dependence on complex external input impair the usefulness of current oscillatory neural networks for…