Dr. Vidarte-Olivera, Jhon

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Nombre de publicaciĂ³n
Dr. Vidarte-Olivera, Jhon
Nombre completo
Vidarte Olivera, Jhon Edder
Facultad
Email
jhon.vidarte@ucsc.cl
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Author: Alberti, Angelo Ă— Subject: Periodic solutions and linear stability Ă—

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    Publication
    Periodic solutions, KAM Tori, and bifurcations in the planar anisotropic Schwarzschild-Type problem
    (SIAM Journal on Applied Dynamical Systems, 2023)
    Alberti, Angelo
    ;
    Vidal, Claudio
    ;
    Vidarte-Olivera, Jhon 
    We investigate analytically the existence of several families of periodic solutions for the planar anisotropic Schwarzschild-type problem. We use reduction and averaging theory, as well as the technique of continuation of Poincaré, for the study of symmetric periodic solutions. Moreover, the determination of KAM 2-tori encasing some of the linearly stable periodic solutions is proved. Finally, we analyze the existence of periodic Hamiltonian pitchfork bifurcation of the periodic solutions.