The Chaotic Long-term X-ray Variability of 4U 1705--44
arXiv:1809.06393 · doi:10.1093/mnras/sty970
Abstract
The low-mass X-ray binary 4U1705-44 exhibits dramatic long-term X-ray time variability with a timescale 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 December 1995 through May 2014. The combined ASM-MAXI data provide a continuous time series over fifty times the length of the timescale 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 nonlinear 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.
arXiv comment18 pages, 17 figures, Published to MNRAS
References in corpus (34)
- Recurrence Plots for the Analysis of Complex Systems
- Improved surrogate data for nonlinearity tests
- Surrogate time series
- Practical implementation of nonlinear time series methods: The TISEAN package
- The MAXI Mission on the ISS: Science and Instruments for Monitoring All Sky X-Ray Images
- First Results from the All-Sky Monitor on the Rossi X-ray Timing Explorer
- Precessing warped accretion discs in X-ray binaries
- Constrained-Realization Monte-Carlo Method for Hypothesis Testing
- Magnetically Driven Warping, Precession and Resonances in Accretion Disks
- How Do Z and Atoll X-ray Binaries Differ?
- Crab: the standard X-ray candle with all (modern) X-ray satellites
- Quasi-Periodic Occultation by a Precessing Accretion Disk and Other Variabilities of SMC X-1
- Relativistic precession around rotating neutron stars: Effects due to frame-dragging and stellar oblateness
- Long-term Properties of Accretion Disks in X-ray Binaries: I. the variable third period in SMC X-1
- A peculiar spectral state transition of 4U1705--44: when an Atoll looks like a Z
- Long-term Properties of Accretion Disks in X-ray Binaries: II. Stability of Radiation-Driven Warping
- A self-consistent approach to the hard and soft states of 4U 1705-44
- BeppoSAX observation of 4U 1705-44: detection of hard X-ray emission in the soft state
- Variable neutron star free precession in Hercules X-1 from evolution of RXTE X-ray pulse profiles with phase of the 35-day cycle
- An Extended and More Sensitive Search for Periodicities in RXTE/ASM X-ray Light Curves
- Suzaku and BeppoSAX X-ray Spectra of the Persistently Accreting Neutron-Star Binary 4U 1705-44
- Three dimensional SPH simulations of radiation-driven warped accretion discs
- SPH simulations of irradiation-driven warped accretion discs and the long periods in X-ray binaries
- Chaotic and stochastic processes in the accretion flows of the black hole X-ray binaries revealed by recurrence analysis
- Fine-tuning the accretion disk clock in Hercules X-1
- Correlated timing and spectral behavior of 4U 1705-44
- Canonical Timing and Spectral Behavior of LMC X-3 in the Low/Hard State
- The first detection of Compton Reflection in the Low-Mass X-ray Binary 4U1705-44 with INTEGRAL and BeppoSAX
- Anomalous Low States and Long Term Variability in the Black Hole Binary LMC X-3
- A variable near-infrared counterpart to the neutron-star low-mass X-ray binary 4U 1705-440
- Decade time-scale modulation of low mass X-ray binaries
- Broadband observations of the X-ray burster 4U 1705-44 with BeppoSAX
- Deterministic chaos in the X-Ray sources
- Morphological analysis on the coherence of kHz QPOs
Cited by in corpus (9)
- A comprehensive power spectral density analysis of astronomical time series I: the Fermi-LAT gamma-ray light curves of selected blazars
- Studies in Astronomical Time Series Analysis: VII. An Enquiry Concerning Non-Linearity, the RMS-Mean Flux Relation, and log-Normal Flux Distributions
- MAXI J1820+070 with NuSTAR II. Flaring during the hard to soft state transition with a long soft lag
- Nonlinear Variability of Quasi-Periodic Oscillations in GX 339-4
- Complex Variability of Kepler AGN Revealed by Recurrence Analysis
- Investigating Non-linear and Stochastic Hard X-ray Variability of Active Galactic Nuclei using Recurrence Analysis
- A Temporal Scale to Track the Spectral Transitions in Low-Mass X-ray Binaries
- Dynamics of magnetoviscous warped discs around compact objects
- A geometric analysis of nonlinear dynamics and its application to financial time series