Control of escapes in two-degree-of-freedom open Hamiltonian systems
Open Access
- 1 June 2022
- journal article
- research article
- Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science
- Vol. 32 (6), 063118
- https://doi.org/10.1063/5.0090150
Abstract
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.Keywords
Funding Information
- Spanish State Research Agency
- European Regional Development Fund (PID2019-105554GB-I00)
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