Combining Machine Learning with Recurrence Analysis for resonance detection
arXiv:2412.19683 · doi:10.1103/PhysRevD.111.084003
Abstract
The width of a resonance in a nearly integrable system, i.e. in a non-integrable system where chaotic motion is still not prominent, can tell us how a perturbation parameter is driving the system away from integrability. Although the tool that we are presenting here can be used is quite generic and can be used in a variety of systems, our particular interest lies in binary compact object systems known as extreme mass ratio inspirals (EMRIs). In an EMRI a lighter compact object, like a black hole or a neutron star, inspirals into a supermassive black hole due to gravitational radiation reaction. During this inspiral the lighter object crosses resonances, which are still not very well modeled. Measuring the width of resonances in EMRI models allows us to estimate the importance of each perturbation parameter able to drive the system away from resonances and decide whether its impact should be included in EMRI waveform modeling or not. To tackle this issue in our study we show first that recurrence quantifiers of orbits carry imprints of resonant behavior, regardless of the system's dimensionality. As a next step, we apply a long short-term memory machine learning architecture to automate the resonance detection procedure. Our analysis is developed on a simple standard map and gradually we extend it to more complicated systems until finally we employ it in a generic deformed Kerr spacetime known in the literature as the Johannsen-Psaltis spacetime.
12 pages, 10 figures
References in corpus (13)
- Recurrence Plots for the Analysis of Complex Systems
- A Metric for Rapidly Spinning Black Holes Suitable for Strong-Field Tests of the No-Hair Theorem
- How to avoid potential pitfalls in recurrence plot based data analysis
- Relativistic Dynamics and Extreme Mass Ratio Inspirals
- Transition from Regular to Chaotic Circulation in Magnetized Coronae near Compact Objects
- Dynamics of spinning test particles in Kerr spacetime
- Growth of resonances and chaos for a spinning test particle in the Schwarzschild background
- Free motion around black holes with discs or rings: between integrability and chaos - III
- Chaotic and stochastic processes in the accretion flows of the black hole X-ray binaries revealed by recurrence analysis
- The production of Tsallis entropy in the limit of weak chaos and a new indicator of chaoticity
- Recurrence Analysis as a tool to study chaotic dynamics of extreme mass ratio inspiral in signal with noise
- Non-linear effects in EMRI dynamics and their imprints on gravitational waves
- Resonance crossing of a charged body in a magnetized Kerr background: an analogue of extreme mass ratio inspiral