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The chaotic long-term X-ray variability of 4U 1705-44
Journal article   Open access   Peer reviewed

The chaotic long-term X-ray variability of 4U 1705-44

R. A. Phillipson, P. T. Boyd and A. P. Smale
Monthly notices of the Royal Astronomical Society, v 477(4), pp 5220-5237
01 Jul 2018
PMID: 32440030
url
https://doi.org/10.1093/mnras/sty970View
Published, Version of Record (VoR) Open

Abstract

Astronomy & Astrophysics Science & Technology Physical Sciences
The low-mass X-ray binary 4U1705-44 exhibits dramatic long-term X-ray time variability with a time-scale of several hundred days. The All-Sky Monitor (ASM) aboard the Rossi X-ray Timing Explorer (RXTE) and the Japanese Monitor of All-sky X-ray Image (MAXI) aboard the International Space Station together have continuously observed the source from 1995 December through 2014 May. The combined ASM-MAXI data provide a continuous time series over 50 times the length of the time-scale of interest. Topological analysis can help us identify 'fingerprints' in the phase space of a system unique to its equations of motion. The Birman-Williams theorem postulates that if such fingerprints are the same between two systems, then their equations of motion must be closely related. The phase-space embedding of the source light curve shows a strong resemblance to the double-welled non-linear Duffing oscillator. We explore a range of parameters for which the Duffing oscillator closely mirrors the time evolution of 4U1705-44. We extract low period, unstable periodic orbits from the 4U1705-44 and Duffing time series and compare their topological information. The Duffing and 4U1705-44 topological properties are identical, providing strong evidence that they share the same underlying template. This suggests that we can look to the Duffing equation to help guide the development of a physical model to describe the long-term X-ray variability of this and other similarly behaved X-ray binary systems.

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Astronomy & Astrophysics
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