Regensburg 2007 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 24: Poster I

DY 24.33: Poster

Mittwoch, 28. März 2007, 16:00–18:00, Poster D

Complex behavior of simple maps with fluctuating delay times — •Günter Radons, Hongliu Yang, Jian Wang, and Jianfeng Fu — Chemnitz University of Technology, 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. For simplicity, the delay time in our system takes only the value of one or two discrete time steps, where the system dynamics reduces to the logistic map and Henon map, respectively. Two cases, periodic or random variation of the delay, have been studied. Rich dynamics including coexisting multiple attractors, strange nonchaotic attractors, and on-off intermittency are observed.