Regensburg 2010 – scientific programme
Parts | Days | Selection | Search | Downloads | Help
DY: Fachverband Dynamik und Statistische Physik
DY 30: Posters II
DY 30.31: Poster
Thursday, March 25, 2010, 16:00–18:00, Poster C
Dimensional dependence of delay in simple system with varying 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 or physiology. A frequently encountered situation is that the length of the delay time changes with time. Due to the fluctuation of the delay time the dimension of the system dynamics collapses. This implies infinite contraction rates thereby leading to diverging Lyapunov exponents. In this study we begin with simple iterated map systems to investigate the influence of fluctuating delay times on the system dimension. For simplicity, the delay time in our system switches between two values t1 and t2 periodically. The evolution of the capacity dimension and the relationship between dimension and Lyapunov spectrum are explored. Simple approximations of continuum limits are also investigated and the dimensional dependence is studied.