Analyzing X-ray binaries with Extended Dynamic Mode Decomposition

Microquasars are bright X-ray sources powered by accretion onto stellar black holes, exhibiting distinct spectral and temporal states. The origins of their X-ray variability and state transitions—potentially linked to MHD turbulence and plasma instabilities—are not well-understood. Traditional Fourier methods have limitations in determining these nonlinear behaviors. We proposed to apply Dynamic Mode Decomposition, a well-developed tool for analyzing nonlinear time series data, to X-ray observations of microquasars and low-mass binaries. This new approach could offer new ways for classification of microquasar states, and even predict future state transitions, allowing pointing telescopes to capture these transitions.