Berlin 2015 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 57: Poster - Diffusion

DY 57.6: Poster

Thursday, March 19, 2015, 16:00–18:00, Poster A

Bifurcations in two-dimensional oscillator arrays: numerical study — •Claudia Lenk and J. Michael Köhler — Institut für Chemie und Biotechnologie, TU Ilmenau, Ilmenau, Deutschland

In the range of critical coupling strength bifurcations arise in arrays of locally coupled nonlinear oscillators. Thereby, interesting effects as amplitude modulations, multiperiode oscillations and burst patterns occur, which are similar to patterns observed in neuronal networks or in the heart. We study the occurrence of bifurcations and special patterns by calculations of the Fitzhugh-Nagumo equations of a catalyst distribution in form of a micro spot pattern. Its dependence on spot size, spot distance, spot shape and parameter variations will be discussed. The importance of gradients of spot distance or spot size for the appearance of bifurcations will be shown. Furthermore, we study the influence of the dimensionality of the oscillator arrays and the introduction of defects in the oscillator arrays for arisal of burst and other special patterns.