Parallel to the increasing number and variety of extrasolar planetary systems various methods have been proposed
to describe and characterize either the short or long-time dynamics of these systems. Although, the methods
introduced are fairly different in nature, one of the essential properties is common, namely, they are based on
observational data sets and their uncertainties. Moreover, most of these methods use (direct or inverse)
analytic, semi-analytic, or numerical computations in order to investigate the system's stability and physical
parameters. Reconstructing the dynamics from short and nonuniform noisy time series is a challenging task,
especially without any direct orbital integration. In this work we propose a method of non-linear time series
analysis to quantify the dynamics of multi-planetary systems. Despite these methods are rarely used in high
dimensional systems such as dynamical astronomy, carefully taken conditions might serve suitable description the
orbital stability. The advantages and disadvantages of the method will also be discussed.
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