Special Session 137: Nonlinear Dynamics, Chaos, and Applications: From Fractional Systems to Astrophysical Models

Forced chaotic scattering
Jesus M Seoane
Universidad Rey Juan Carlos
Spain
Co-Author(s):    
Abstract:
In this talk, we present a study of the phenomenon of chaotic scattering under periodic forcing. Previous works showed that the frequency value $\omega = 1$ was the optimal value for which particles escaped from the scattering region in the fastest way. Similarly, for the relativistic regime, the study was conducted in the context of a rotating external force where, depending on the value of the external frequency, both fast and slow escapes were observed. Here, we also study quantitative indicators such as SALI or finite-time Lyapunov exponents, but for the case of non-autonomous systems, specifically, those subjected to periodic forcing, which provide local information about the behavior of trajectories as a function of the forcing frequency and amplitude.