Regensburg 2010 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 30: Posters II
DY 30.32: Poster
Thursday, March 25, 2010, 16:00–18:00, Poster C
Hysteresis and visible unstable periodic solutions in coupled logistic maps with periodic fluctuating delay — •Jian Wang, Hong-Liu Yang, and Günter Radons — Institute of Physics, Chemnitz University of Technology, 09107 Chemnitz, Germany
Delay systems used to model retarded actions are relevant in many fields such as optics, mechanical machining, biology, ecology or physiology. A frequently encountered situation is that the length of the delay time changes with time. With the introduction of varying delay the system dynamic is more complex and new phenomena are obtained. To investigate the influence of varying delay on the dynamics of spatio-temporal system we compare in this study coupled logistic map with periodic fluctuating delay with coupled logistic maps and coupled logistic maps with constant delay. For simplicity, the delay time in our system takes only t1 and t2 discrete steps. Some interesting phenomena including hysteresis, defect and visible unstable stationary states are obtained.