On scattering trajectories of dynamical systems.
| dc.contributor.author | Díaz-Cano Ocaña, Antonio | |
| dc.contributor.author | Gonzalez Gascón, F. | |
| dc.contributor.author | Peralta Salas, Daniel | |
| dc.date.accessioned | 2023-06-20T09:33:05Z | |
| dc.date.available | 2023-06-20T09:33:05Z | |
| dc.date.issued | 2006 | |
| dc.description.abstract | Dynamical systems on R-n presenting geometric chaos, i.e., open domains where bounded and unbounded orbits are intermingled, have been constructed. The opposite situation (open scattering) has been studied for integrable Hamiltonian and non-Hamiltonian vector fields and for equations of type x=-del V(x) when the potential has the form V=a(r)+b(r)F(theta) in spherical coordinates. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15022 | |
| dc.identifier.doi | 10.1063/1.2206880 | |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.officialurl | http://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=JMAPAQ000047000006062703000001&idtype=cvips&doi=10.1063/1.2206880&prog=normal | |
| dc.identifier.relatedurl | http://jmp.aip.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/49880 | |
| dc.issue.number | 6 | |
| dc.journal.title | Journal of Mathematical Physics | |
| dc.language.iso | eng | |
| dc.page.final | 1 | |
| dc.page.initial | 062703 | |
| dc.publisher | American Institute of Physics | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 530.1 | |
| dc.subject.ucm | Física matemática | |
| dc.title | On scattering trajectories of dynamical systems. | |
| dc.type | journal article | |
| dc.volume.number | 47 | |
| dcterms.references | V. I. Arnold, Mathematical Methods of Classical Mechanics (Springer, New York, 1978). F. González-Gascón, Nuovo Cimento Soc. Ital. Fis., B 111, 1247 1996. S. Bleher, C. Grebogi, and E. Ott, Physica D 46, 87 1990. M. Ding, C. Grebogi, E. Ott, and J. Yorke, Phys. Rev. A 42, 7025 1990. L. Poon, J. Campos, E. Ott, and C. Grebogi, Int. J. Bifurcation Chaos Appl. Sci. Eng. 6, 251 1996. L. Benet, C. Jung, T. Papenbrock, and T. H. Seligman, Physica D 131, 254 1999. J. Aguirre, J. C. Vallejo, and M. A. F. Sanjuán, Phys. Rev. E 64, 066208 2001. J. Seoane, J. Aguirre, M. A. F. Sanjuán, and Y. C. Lai, Chaos in press. A. F. Costa, F. González-Gascón, and A. González-López, Invent. Math. 93, 545 1988. V. I. Arnold, V. V. Kozlov, and A. I. Neishtadt, Mathematical Aspects of Classical and Celestial Mechanics Springer,Berlin, 1997. V. I. Arnold, Dokl. Akad. Nauk SSSR 156, 9 1964. B. Chirikov, Phys. Rep. 52, 264 1979. F. González-Gascón and D. Peralta-Salas, Phys. Lett. A 333, 72 2004. J. Stallings, Proc. Cambridge Philos. Soc. 58, 481 1962. M. Gromov, Invent. Math. 82, 307 1985. L. Bates and G. Peschke, J. Diff. Geom. 32, 533 1990. J. Hale and H. Koçak, Dynamics and Bifurcations Springer, New York, 1991. J. Kotus, Proc. Am. Math. Soc. 108, 1039 1990. D. D’Acunto, C. R. Acad. Sci. Paris Ser. I 337, 327 2003. R. Abraham and J. Robbin, Transversal Mappings and Flows Benjamin, New York, 1967. L. A. Pars, A Treatise on Analytical Dynamics Heinemann, London, 1965. F. González-Gascón and D. Peralta-Salas, J. Phys. A 33, 5361 2000. F. González-Gascón and D. Peralta-Salas, J. Phys. A 36, 6441 2003. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 134ad262-ecde-4097-bca7-ddaead91ce52 | |
| relation.isAuthorOfPublication | a6d5c814-2809-4e3f-9994-64085621a568 | |
| relation.isAuthorOfPublication.latestForDiscovery | 134ad262-ecde-4097-bca7-ddaead91ce52 |
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