170 citations · 401 across the 10 of their papers we have counts for
10 papers
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…
The changing notion of chimera states, a critical review
Sindre W. Haugland
Chimera states, states of coexistence of synchronous and asynchronous motion, have been a subject of extensive research since they were first given a name in 2004. Increased intere…
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…
2-Cluster Fixed-Point Analysis of Mean-Coupled Stuart-Landau Oscillators in the Center Manifold
Felix P. Kemeth, Bernold Fiedler, Sindre W. Haugland +1
We reduce the dynamics of an ensemble of mean-coupled Stuart-Landau oscillators close to the synchronized solution. In particular, we map the system onto the center manifold of the…
Global heteroclinic rebel dynamics among large 2-clusters in permutation equivariant systems
Bernold Fiedler, Sindre W. Haugland, Felix P. Kemeth +1
We explore equivariant dynamics under the symmetric group of all permutations of elements. Specifically we study one-parameter vector fields, up to cubic order, which com…
Cluster singularity: the unfolding of clustering behavior in globally coupled Stuart-Landau oscillators
Felix P. Kemeth, Sindre W. Haugland, Katharina Krischer
The ubiquitous occurrence of cluster patterns in nature still lacks a comprehensive understanding. It is known that the dynamics of many such natural systems is captured by ensembl…
Symmetries of Chimera States
Felix P. Kemeth, Sindre W. Haugland, Katharina Krischer
Symmetry broken states arise naturally in oscillatory networks. In this Letter, we investigate chaotic attractors in an ensemble of four mean-coupled Stuart-Landau oscillators with…
An Emergent Space for Distributed Data with Hidden Internal Order through Manifold Learning
Felix P. Kemeth, Sindre W. Haugland, Felix Dietrich +7
Manifold-learning techniques are routinely used in mining complex spatiotemporal data to extract useful, parsimonious data representations/parametrizations; these are, in turn, use…
A classification scheme for chimera states
Felix P. Kemeth, Sindre W. Haugland, Lennart Schmidt +2
We present a universal characterization scheme for chimera states applicable to both numerical and experimental data sets. The scheme is based on two correlation measures that enab…
Self-organized alternating chimera states in oscillatory media
Sindre W. Haugland, Lennart Schmidt, Katharina Krischer
Oscillatory media can exhibit the coexistence of synchronized and desynchronized regions, so-called chimera states, for uniform parameters and symmetrical coupling. In a phase-bala…