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http://dspace.mediu.edu.my:8181/xmlui/handle/123456789/2405| Title: | Transitions between periodic orbits and control of chaos assisted by an external force in Hamiltonian systems |
| Issue Date: | 30-May-2013 |
| Publisher: | Sociedade Brasileira de Física |
| Description: | We investigate the possibility of inducing transitions between periodic orbits in two-dimensional Hamiltonian systems by means of a time-localized external perturbation. We show that the amplitude of the perturbation can be approximately calculated in the limit of a delta-type force in terms of the initial and final periodic orbits. For a specific Hamiltonian, we show several numerical examples where the external perturbation, varied from delta-type to gaussian, allows transitions between specifically chosen members of families of periodic orbits. The same mechanism is then applied to move aperiodic chaotic orbits into periodic ones, presenting a new way to control chaotic behavior in Hamiltonian systems. |
| URI: | http://koha.mediu.edu.my:8181/jspui/handle/123456789/2405 |
| Other Identifiers: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331998000300005 http://www.doaj.org/doaj?func=openurl&genre=article&issn=01039733&date=1998&volume=28&issue=3&spage=203 |
| Appears in Collections: | Physics and Astronomy |
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