Geodesic
Bifurcation of the birth of a closed invariant curve in a one-parameter family of quadratic mappings of the plane
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2019), pp. 16-24

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We give an example of a one-parameter family of quadratic endomorphisms of the plane, in which a closed invariant curve is born from an elliptic fixed point.
Keywords: invariant curve, fixed point, endomorphism of a plane. 
@article{IVM_2019_12_a1,
     author = {S. S. Bel'mesova},
     title = {Bifurcation of the birth of a closed invariant curve in a one-parameter family of quadratic mappings of the plane},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {16--24},
     publisher = {mathdoc},
     number = {12},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_12_a1/}
}
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S. S. Bel'mesova. Bifurcation of the birth of a closed invariant curve in a one-parameter family of quadratic mappings of the plane. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2019), pp. 16-24. http://geodesic.mathdoc.fr/item/IVM_2019_12_a1/