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We investigate the possible nonlinear variability properties of the blackhole X-ray nova 4U1543-47 to complement the temporal studies based on lineartechniques, and to search for signs of nonlinearity in Galactic black hole(GBH) light curves. First, we apply the weighted scaling index method (WSIM) tocharacterize the X-ray variability properties of 4U1543-47 in differentspectral states during the 2002 outburst. Second, we use surrogate data toinvestigate whether the variability is nonlinear in any of the differentspectral states. The main findings can be summarized as follows. The meanweighted scaling index appears to be able to parametrize uniquely the temporalvariability properties of this GBH: the 3 different spectral states of the 2002outburst of 4U1543-47 are characterized by different and well constrainedvalues. The search for nonlinearity reveals that the variability is linear inall light curves with the notable exception of the very high state. Our resultsimply that we can use the WSIM to assign a single number, namely the meanweighted scaling index, to a light curve, and in this way discriminate amongthe different spectral states of a source. The detection of nonlinearity in theVHS, that is characterized by the presence of most prominent QPOs, suggeststhat intrinsically linear models which have been proposed to account for thelow frequency QPOs in GBHs may be ruled out (abridged).

Characterizing black hole variability with nonlinear methods: the case of the X-ray Nova 4U 1543-47