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The Chaotic Long-term X-ray Variability of 4U 1705-44.

R A Phillipson1, P T Boyd2, A P Smale2

  • 1Department of Physics, Drexel University, 3141 Chestnut St, Philadelphia, PA 19104, USA.

Monthly Notices of the Royal Astronomical Society
|May 23, 2020
PubMed
Summary

The long-term X-ray variability of the low-mass X-ray binary 4U1705-44 was analyzed using Rossi X-ray Timing Explorer (RXTE) and MAXI data. Topological analysis revealed its behavior mirrors the Duffing oscillator, suggesting a shared underlying physical model.

Keywords:
4U1705–44 – X-raysbinaries – chaos – accretion, accretion discs – methodsindividualneutron – starsnumericalstars

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Area of Science:

  • * Astrophysics
  • * Nonlinear Dynamics

Background:

  • * Low-mass X-ray binary 4U1705-44 displays significant long-term X-ray variability.
  • * Continuous monitoring from 1995-2014 by RXTE/ASM and ISS/MAXI provides extensive observational data.

Purpose of the Study:

  • * To investigate the underlying physical mechanisms driving the observed X-ray variability.
  • * To apply topological analysis to characterize the system's dynamics.

Main Methods:

  • * Phase-space embedding of the 4U1705-44 light curve.
  • * Comparison of topological fingerprints with the Duffing oscillator model.
  • * Extraction and analysis of unstable periodic orbits.

Main Results:

  • * The light curve's phase-space embedding strongly resembles the double-welled Duffing oscillator.
  • * Topological properties of 4U1705-44 and the Duffing oscillator were found to be identical.
  • * A range of Duffing oscillator parameters successfully mirrored the source's time evolution.

Conclusions:

  • * The identical topological properties provide strong evidence for a shared underlying dynamical template between 4U1705-44 and the Duffing oscillator.
  • * The Duffing equation can serve as a guide for developing physical models of X-ray binary variability.