On Cascades of Elliptic Periodic Points in Two-Dimensional Symplectic Maps with Homoclinic Tangencies

    2009, Volume 14, Number 1, pp.  116-136

    Author(s): Gonchenko M. S., Gonchenko S. V.

    We study bifurcations of two-dimensional symplectic maps with quadratic homoclinic tangencies and prove results on the existence of cascade of elliptic periodic points for one and two parameter general unfoldings.
    Keywords: symplectic map, homoclinic tangency, bifurcation, generic elliptic point, KAM-theory
    Citation: Gonchenko M. S., Gonchenko S. V., On Cascades of Elliptic Periodic Points in Two-Dimensional Symplectic Maps with Homoclinic Tangencies, Regular and Chaotic Dynamics, 2009, Volume 14, Number 1, pp. 116-136
    DOI: 10.1134/S1560354709010080



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