A Tool to Recover Scalar Time-Delay Systems from Experimental Time Series

Details A Tool to Recover Scalar Time-Delay Systems from Experimental Time Series A Tool to Recover Scalar Time-Delay Systems from Experimental Time Series

1999-06-15

arxiv.org/abs/chao-dyn/9906027v1

Phys. Rev E 54 (1997) R3082

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1103/PhysRevE.54.R3082

We propose a method that is able to analyze chaotic time series, gained from exp erimental data. The method allows to identify scalar time-delay systems. If the dynamics of the system under investigation is governed by a scalar time-delay differential equation of the form $dy(t)/dt = h(y(t),y(t-\tau_0))$, the delay time $\tau_0$ and the functi on $h$ can be recovered. There are no restrictions to the dimensionality of the chaotic attractor. The method turns out to be insensitive to noise. We successfully apply the method to various time series taken from a computer experiment and two different electronic oscillators.

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