Dresden 2014 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 10: Nonlinear Stochastic Systems

DY 10.7: Talk

Tuesday, April 1, 2014, 11:15–11:30, ZEU 160

Dynamical complexity in noisy coupled cubic maps — •Thomas Zub and Stefan J. Linz — Institut für Theoretische Physik, Westfälische Wilhelms-Universität Münster, Wilhelm-Klemm-Str. 9, 48149 Münster, Germany

As far as its first bifurcation is concerned, the cubic map represents a discrete analogon to the overdamped motion of a particle in a double-well potential. The cubic map, however, possesses far richer dynamics as a function of the control parameter. In this contribution, we first study the dynamics of the cubic map with additive noise in analytical and numerical detail and compare it with the corresponding nonlinear Langevin equation. Considering two globally coupled cubic maps with additive noise, we analyze their potentially correlated dynamics as a function of the noise strength.