Boulder, CO 80309 USA
Laboratory for Atmospheric and Space Physics, University of Colorado
Howard J. E., Morozov A. D.
A Simple Reconnecting Map
2012, vol. 17, no. 5, pp. 417-430
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.