Control of escapes in two-degree-of-freedom open Hamiltonian systems

Autor: Alexandre R. Nieto, Thomas Lilienkamp, Jesús M. Seoane, Miguel A. F. Sanjuán, Ulrich Parlitz
Přispěvatelé: AIP (American Institute of Physics) Publishing
Jazyk: angličtina
Rok vydání: 2022
Předmět:
DOI: 10.1063/5.0090150
Popis: We investigate the possibility of avoiding the escape of chaotic scattering trajectories in two-degree-of-freedom Hamiltonian systems. We develop a continuous control technique based on the introduction of coupling forces between the chaotic trajectories and some periodic orbits of the system. The main results are shown through numerical simulations, which confirm that all trajectories starting near the stable manifold of the chaotic saddle can be controlled. We also show that it is possible to jump between different unstable periodic orbits until reaching a stable periodic orbit belonging to a Kolmogorov–Arnold–Moser island.
Databáze: OpenAIRE