Berlin 2008 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 17: Poster I

DY 17.33: Poster

Dienstag, 26. Februar 2008, 16:00–18:00, Poster C

Dimensional collapse and fractal properties of simple maps with fluctuating delay times — •Jian Wang, Hong-liu Yang, and Günter Radons — Institute of Physics, Chemnitz University of Technology, D-09107 Chemnitz, Germany

Delay systems used to model retarded actions are relevant in many fields such as optics, mechanical machining, biology or physiology. A frequently encountered situation is that the length of the delay time changes with time. In this study we use a simple map system to investigate the influence of the fluctuating delay time on the system dynamics. A characteristic feature of such systems is that the dimension of the system dynamics collapses due to the fluctuation of the delay times. This implies infinite contraction rates therby leading to diverging Lyapunov exponents. The consequences of the latter for the fractal attractor dimensions are discussed.