A Simple Reconnecting Map

    2012, Volume 17, Number 5, pp.  417-430

    Author(s): Howard J. E., Morozov A. D.

    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.
    Keywords: periodic points, degenerate resonances, vortex pairs, chaos
    Citation: Howard J. E., Morozov A. D., A Simple Reconnecting Map, Regular and Chaotic Dynamics, 2012, Volume 17, Number 5, pp. 417-430

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