A simple reconnecting map |
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| Authors: | James E Howard Albert D Morozov |
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| Institution: | 1. Laboratory for Atmospheric and Space Physics, University of Colorado, Boulder, CO, 80309, USA
2. Department of Mathematics and Mechanics, Nizhny Novgorod State University, ul. Gagarina 23, Nizhny Novgorod, 603950, Russia
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| Abstract: | 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. |
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