| Title |
Control of escapes in two-degree-of-freedom open Hamiltonian systems / |
| Authors |
Nieto, Alexandre R ; Lilienkamp, Thomas ; Seoane, Jesús M ; Sanjuán, Miguel A.F ; Parlitz, Ulrich |
| DOI |
10.1063/5.0090150 |
| Full Text |
|
| Is Part of |
Chaos.. Melville, NY : American institute of physics. 2022, vol. 32, iss. 6, art. no. 063118, p. 1-13.. ISSN 1054-1500. eISSN 1089-7682 |
| Abstract [eng] |
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. |
| Published |
Melville, NY : American institute of physics |
| Type |
Journal article |
| Language |
English |
| Publication date |
2022 |
| CC license |
|
