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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\u2013Arnold\u2013Moser island.<\/jats:p>","DOI":"10.1063\/5.0090150","type":"journal-article","created":{"date-parts":[[2022,6,10]],"date-time":"2022-06-10T13:40:27Z","timestamp":1654868427000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":3,"title":["Control of escapes in two-degree-of-freedom open Hamiltonian systems"],"prefix":"10.1063","volume":"32","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1546-6383","authenticated-orcid":false,"given":"Alexandre R.","family":"Nieto","sequence":"first","affiliation":[{"name":"Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de F\u00edsica, Universidad Rey Juan Carlos 1 , Tulip\u00e1n s\/n, 28933 M\u00f3stoles, Madrid, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1117-6733","authenticated-orcid":false,"given":"Thomas","family":"Lilienkamp","sequence":"additional","affiliation":[{"name":"Max Planck Institute for Dynamics and Self-Organization 2 , Am Fassberg 17, 37077 G\u00f6ttingen, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2723-6764","authenticated-orcid":false,"given":"Jes\u00fas M.","family":"Seoane","sequence":"additional","affiliation":[{"name":"Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de F\u00edsica, Universidad Rey Juan Carlos 1 , Tulip\u00e1n s\/n, 28933 M\u00f3stoles, Madrid, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3515-0837","authenticated-orcid":false,"given":"Miguel A. 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