{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,24]],"date-time":"2025-10-24T16:36:41Z","timestamp":1761323801654},"reference-count":25,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2012,6]]},"abstract":"<jats:p> In this work, we study the H\u00e9non\u2013Heiles Hamiltonian, as a paradigm of open Hamiltonian systems, in the presence of different kinds of perturbations as dissipation, noise and periodic forcing, which are very typical in different physical situations. We focus our work on both the effects of these perturbations on the escaping dynamics and on the basins associated to the phase space and to the physical space. We have also found, in presence of a periodic forcing, an exponential-like decay law for the survival probability of the particles in the scattering region where the frequency of the forcing plays a crucial role. In the bounded regions, the use of the OFLI2 chaos indicator has allowed us to characterize the orbits. We have compared these results with the previous ones obtained for the dissipative and noisy case. Finally, we expect this work to be useful for a better understanding of the escapes in open Hamiltonian systems in the presence of different kinds of perturbations. <\/jats:p>","DOI":"10.1142\/s0218127412300108","type":"journal-article","created":{"date-parts":[[2012,2,20]],"date-time":"2012-02-20T20:38:43Z","timestamp":1329770323000},"page":"1230010","source":"Crossref","is-referenced-by-count":47,"title":["TO ESCAPE OR NOT TO ESCAPE, THAT IS THE QUESTION \u2014 PERTURBING THE H\u00c9NON\u2013HEILES HAMILTONIAN"],"prefix":"10.1142","volume":"22","author":[{"given":"FERNANDO","family":"BLESA","sequence":"first","affiliation":[{"name":"Departamento de F\u00edsica Aplicada, Universidad de Zaragoza, E-50009 Zaragoza, Spain"}]},{"given":"JES\u00daS M.","family":"SEOANE","sequence":"additional","affiliation":[{"name":"Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de F\u00edsica, Universidad Rey Juan Carlos, Tulip\u00e1n s\/n, 28933 M\u00f3stoles, Madrid, Spain"}]},{"given":"ROBERTO","family":"BARRIO","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica Aplicada and IUMA, Universidad de Zaragoza, E-50009 Zaragoza, Spain"}]},{"given":"MIGUEL A. F.","family":"SANJU\u00c1N","sequence":"additional","affiliation":[{"name":"Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de F\u00edsica, Universidad Rey Juan Carlos, Tulip\u00e1n s\/n, 28933 M\u00f3stoles, Madrid, Spain"},{"name":"Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing 100044, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2012,7,16]]},"reference":[{"key":"rf1","first-page":"066208-1","volume":"64","author":"Aguirre J.","journal-title":"Phys. Rev. E"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.81.333"},{"key":"rf3","first-page":"5764-1","volume":"84","author":"Babiano A.","journal-title":"Phys. Rev. Lett."},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1142\/S021812740601646X"},{"key":"rf5","first-page":"10003-1","volume":"82","author":"Barrio R.","journal-title":"Europhys. 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