Seminars of the Focus Area Complex Systems

Prof. Dr. C. Beta, Prof. Dr. K. Dethloff, Prof. Dr. R. Engbert, Prof. Dr. M. Holschneider, Prof. Dr. W. Huisinga, Prof. Dr. Ralf Metzler, Prof. Dr. A. Pikovsky, Prof. Dr. S. Reich, Prof. Dr. M. Rosenblum, Prof. Dr. G. Rüdiger, Prof. Dr. T. Scheffer, Prof. Dr. F. Scherbaum, Prof. Dr. J. Selbig, Prof. Dr. F. Spahn

Seminar

Speaker: Yuri Maistrenko, Institute of Mathematics and the Centre for Medical and Biotechnical Research of the Ukrainian National Academy of Sciences, Ukraine

Title: Chimera states for repulsively coupled phase oscillators * Oberseminar Nichtlineare Dynamik

Time: Mon, Dec 10, 2012, 4pm

Place: bldg 28, room 0.104

Abstract:
Chimera states represent remarkable spatio-temporal patterns in which phase-locked oscillators coexist with drifting ones. It was found about 10 years ago that, surprisingly, they can arise in arrays of coupled identical oscillators without any sign of asymmetry as a manifestation of an internal nonlinear nature of dynamical networks. We discuss the appearance of chimera states for repulsively coupled phase oscillators of the Kuramoto-Sakaguchi type, i.e., when the phase lag parameter α > π/2 and hence the network coupling works against synchronization. We find that chimeras exist in a wide region of the parameter space as a cascade of the states with increasing number of the regions of irregularity - so-called chimera's heads.

We also study the origin of the chimera states and show that they grow from the so-called multi-twisted states. Three typical scenarios of the chimera birth are reported: 1) via saddle-node bifurcation on invariant circle, also known as SNIC or SNIPER, 2) via blue-sky catastrophe, when two periodic orbits – stable and saddle - approach each other creating a saddle-node periodic orbit, and 3) via homoclinic transition, when the unstable manifold comes back crossing the stable manifold of a saddle.

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Past NLD Seminars (1994-2007) & (2008 ...)

Students' seminar: Theoretical Physics, PIK, Modeling & TSA Berlin-Potsdam-Colloquia: PhysGesellschaft Berlin, TU Berlin, Pro Physik, AIP, AEI, MPI-KGF, GFZ, HMI, PIK, AWI, Max Planck Institute for the History of Science, Mathematik, DPG Disputationen, & Vorschau UP

Udo Schwarz, Zentrum für Dynamik komplexer Systeme,
Universität Potsdam, Campus Golm Karl-Liebknecht-Str. 24, 14476 Potsdam, building 28, room 2.107
Phone: (+49-331) 977-1658, Fax : (+49-331) 977-1045

Email: Udo.Schwarz AT uni-potsdam.de

DFG SFB 1294

DFG Sonderforschungsbereich 1294 Data assimilation

DFG SPP 1488

DFG Schwerpunktprogramm 1488 Planetmag


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