Speaker
Description
The width of a resonance in a nearly integrable system can tell us how a perturbation parameter is driving the system away from integrability. Although the tool that we are presenting here 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), when 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. Finding resonances in EMRI models in EMRI models is critical to incorporate them in waveform models. To tackle this issue in our study, we show first that recurrence quantifiers of orbits carry imprints of resonant behavior. 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.