  We propose a new approach for studying pion fluctuation for deeper
understanding of the dynamical process involved, from a perspective of
fBm-based complex network analysis method called Visibility graph Analysis.
This chaos-based, rigorous, non-linear technique is applied to study the
erratic behavior of multipion production in \pi^{-}-Ag/Br interactions at 350
GeV. This method can offer reliable results with finite data points. The Power
of Scale-freeness of Visibility Graph denoted by-PSVG is a measure of
fractality, which can be used as a quantitative parameter for the assessment of
the state of a chaotic system. The event-wise fluctuation of the multipion
production process can be described by this parameter-PSVG. From the analysis
of the PSVG parameter, we can quantitatively confirm that fractal behavior of
the particle production process depends on the target excitation and also the
fractality decreases with the increase of target excitation.

High Energy Physics - Experiment;Data Analysis, Statistics and Probability