Carregant...
Fitxers
Tipus de document
ArticleVersió
Versió acceptadaData de publicació
Tots els drets reservats
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/193918
Resonant zones, inner and outer splittings in generic and low order resonances of area preserving maps
Títol de la revista
Director/Tutor
ISSN de la revista
Títol del volum
Recurs relacionat
Resum
We consider a one-parameter family of area preserving maps in a neighbourhood of an elliptic fixed point. As the parameter evolves hyperbolic and elliptic periodic orbits of different periods are created. The exceptional resonances of order less than 5 have to be considered separately. The invariant manifolds of the hyperbolic periodic points bound islands containing the elliptic periodic points. Generically, these manifolds split. It turns out that the inner and outer splittings are different under suitable conditions. We provide accurate formulae describing the splittings of these manifolds as a function of the parameter and the relative values of these magnitudes as a function of geometric properties. The numerical agreement is illustrated using mainly the Hénon map as an example.
Matèries (anglès)
Citació
Citació
SIMÓ, Carles., VIEIRO YANES, Arturo. Resonant zones, inner and outer splittings in generic and low order resonances of area preserving maps. _Nonlinearity_. 2009. Vol. 22, núm. 5, pàgs. 1191-1245. [consulta: 15 de gener de 2026]. ISSN: 0951-7715. [Disponible a: https://hdl.handle.net/2445/193918]