Lyapunov exponent and entropy of the solar wind flow

We analyse time series of velocity fluctuations of the low-speed stream of the solar wind measured by the Helios spacecraft in the inner heliosphere. We use a nonlinear filter to give faithful representation of nonlinear behaviour of the flow. We demonstrate that the influence of noise in the data records can be much more efficiently reduced by a nonlinear filter than with conventional filters. We argue that due to this nonlinear noise reduction we get with much reliability estimates of the largest Lyapunov exponent and the Kolmogorov entropy. The Lyapunov exponent and the entropy are plausibly positive, which would exhibit sensitivity to initial conditions. These results show that the solar wind in the inner heliosphere is likely a deterministic chaotic system. We hope that these studies could shed light on the physical mechanism of coronal structure.