Humboldt-Universität zu Berlin - Mathematisch-Naturwissen­schaft­liche Fakultät - International Research Training Group 1740

Seminar Talk - P. Tomov

  • Wann 25.06.2014 von 13:00 bis 14:30
  • Wo Johann von Neumann-Haus, Rudower Chaussee 25, 12489 Berlin, Room 1.114
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Seminar Talk

Petar Tomov (Humboldt-Universität zu Berlin, Project A04)

Title: Phase Dynamics on Small Hexagonal Lattices with Repulsive Coupling

We consider dynamics of identical phase oscillators on spatially periodic hexagonal lattices. Existence and stability properties of different clustering patterns are discussed and illustrated by numerical examples. In the case of the 4×4-lattice, the clustering pattern enables the ex stence of a constant of motion and, hence, of a continuous family of temporally periodic solutions.