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Эта публикация цитируется в 5 научных статьях (всего в 5 статьях)
A Simple Reconnecting Map
James E. Howarda, Albert D. Morozovb a Laboratory for Atmospheric and Space Physics, University of Colorado, Boulder, CO 80309 USA
b Nizhny Novgorod State University, Department of Mathematics and Mechanics, ul. Gagarina 23, Nizhny Novgorod, 603950 Russia
Аннотация:
Generalized standard maps of the cylinder for which the rotation number is a rational function (a combination of the Fermi and Chirikov rotation functions) are considered. These symplectic maps often have degenerate resonant zones, and we establish two types resonance bifurcations: "loops" and "vortex pairs". Both the border of chaos and the existence of the chaotic web are discussed. Finally the transition to global chaos for a generalized map is considered.
Ключевые слова:
periodic points, degenerate resonances, vortex pairs, chaos.
Поступила в редакцию: 20.02.2012 Принята в печать: 03.09.2012
Образец цитирования:
James E. Howard, Albert D. Morozov, “A Simple Reconnecting Map”, Regul. Chaotic Dyn., 17:5 (2012), 417–430
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd412 https://www.mathnet.ru/rus/rcd/v17/i5/p417
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