56 citations · 96 across the 9 of their papers we have counts for
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Chaotic Chimera Attractors in a Triangular Network of Identical Oscillators
Seungjae Lee, Katharina Krischer
A prominent type of collective dynamics in networks of coupled oscillators is the coexistence of coherently and incoherently oscillating domains, known as chimera states. Chimera s…
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…
Lyapunov Analysis of Chimera States in Globally Coupled Stuart-Landau oscillators
Kevin Höhlein, Felix P. Kemeth, Katharina Krischer
Oscillatory systems with long-range or global coupling offer promising insight into the interplay between high-dimensional (or microscopic) chaotic motion and collective interactio…
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…