Dresden 2014 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 15: Nonlinear Dynamics, Synchronization and Chaos - Part I

DY 15.4: Vortrag

Mittwoch, 2. April 2014, 10:15–10:30, HÜL 186

Simple mechanism for controlling pattern formation in coupled genetic circuits — •Darka Labavić, Prabesh Joshi, and Hildegard Meyer-Ortmanns — School of Engineering and Science, Jacobs University Bremen

We study a system of coupled genetic circuits - bistable frustrated units. Individual units show excitable or oscillatory behaviour depending on the choice of parameters [1]. The same regimes are present also for coupled units, with the same bifurcation parameter. Tuning this parameter we can generate pattern formation for a finite duration of time. Depending on the tuning speed, network topology, and coupling strength, we observe a rich dynamics with different time scales, self-organized pacemakers, spiral patterns, and planar waves. To demonstrate the complexity of the dynamics, we do a detail bifurcation analysis on two coupled units, and indicate how it extrapolates to a larger network.
[1] P. Kaluza and H. Meyer-Ortmanns, Chaos 20, 043111(2010)