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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…
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…