Applications of Chaos Theory to Astrophysical Time Series: Analysis of Blazar Light Curves from TESS

Searching for low-dimensional chaos in time series is a rarely used, but very promising approach to reveal the systems' internal dynamics, which drives the observed temporal variability.In this work we use long and intermittent optical intensity time series from TESS satellite to search for signatures of low-dimensional attractors.We present briefly the commonly used for chaos searches Correlation Integral (CI) method and its application.This method is applied not only in astrophysics (including Solar physics), but also in the fields of meteorology, climate, geophysics, medicine, ecology, economy, etc.As an example, we apply the CI method to the TESS light curves of a relativistic jet-dominated active galactic nucleusthe blazar S5 0716+714.Even though our first results are inconclusive, such searches are promising and encouraging.