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Эта публикация цитируется в 72 научных статьях (всего в 72 статьях)
On the 70th birthday of J.Moser
Invariant curves of analytic perturbed nontwist area preserving maps
C. Simó Departament de Matemàtica ApHcada i Anàlisi,
Universitat de Barcelona,
Gran Via 585, 08007 Barcelona. Spain
Аннотация:
Area preserving maps close to integrable but not satisfying the twist condition are studied. The existence of invariant curves is proved, but they are no longer graphs with respect to the angular variable. Beyond the generic, codimension 1 case, several higher codimension cases are studied. Meandering curves, higher order meandering and labyrinthic curves show up. Several examples illustrate that this behavior occurs in very simple families of maps.
Поступила в редакцию: 05.10.1998
Образец цитирования:
C. Simó, “Invariant curves of analytic perturbed nontwist area preserving maps”, Regul. Chaotic Dyn., 3:3 (1998), 180–195
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd956 https://www.mathnet.ru/rus/rcd/v3/i3/p180
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