Elliptic Periodic Orbits Near a Homoclinic Tangency in Four-Dimensional Symplectic Maps and Hamiltonian Systems With Three Degrees of Freedom

    1998, Volume 3, Number 4, pp.  3-26

    Author(s): Gonchenko S. V., Shilnikov L. P., Turaev D. V.

    We study bifurcations leading to the appearance of elliptic orbits in the case of four-dimensional symplectic diffeomorphisms (and Hamiltonian flows with three degrees of freedom) with a homoclinic tangency to a saddle-focus periodic orbit.
    Citation: Gonchenko S. V., Shilnikov L. P., Turaev D. V., Elliptic Periodic Orbits Near a Homoclinic Tangency in Four-Dimensional Symplectic Maps and Hamiltonian Systems With Three Degrees of Freedom, Regular and Chaotic Dynamics, 1998, Volume 3, Number 4, pp. 3-26
    DOI: 10.1070/RD1998v003n04ABEH000089


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