Luminosity variations of 3C 345: Is there any evidence of low-dimensional chaos ?

Computer Science – Numerical Analysis

Scientific paper

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Light Curve, Luminous Intensity, Nonlinearity, Quasars, Stochastic Processes, Variations, Correlation, Embedding, Integrals, Numerical Analysis, Procedures, Time Dependence

Scientific paper

We analzye the light curve of the optically violent variable quasar 3C 345, with the goal of determining the possible presence of low-dimensional chaos in the system dynamics. The results of the phase-space reconstruction and of the correlation integral analysis provide a convergent, noninteger estimate of the correlation dimension, naively suggesting the presence of deterministic chaos. However, we show that this result is generated by the long memory and by the power-law shape of the power spectrum of the signal, with no relationship to any underlying chaotic behavior. In fact, the light curve of 3C 345 is consistent with the output of a nonlinear stochastic process, and it is characterized by a well-defined intermittent nature.

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