Antipersistent random walks in time-delayed systems
Tony Albers1, David Müller-Bender1, Günter Radons1,2
1Institute of Physics, Chemnitz University of Technology, 09107 Chemnitz, Germany.
Abstract:
We show that the occurrence of chaotic diffusion in a typical class of time-delayed systems with linear instantaneous and nonlinear delayed term can be well described by an antipersistent random walk. We numerically investigate the dependence of all relevant quantities characterizing the random walk on the strength of the nonlinearity and on the delay. With the help of analytical considerations, we show that for a decreasing nonlinearity parameter the resulting dependence of the diffusion coefficient is well described by Markov processes of increasing order.
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