Oleg Shilov

@hse.ru

International Laboratory of Dynamical Systems and Applications/Faculty of Informatics, Mathematics, and Computer Science
Research Assistant

Oleg Shilov


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https://researchid.co/olegshilov

RESEARCH, TEACHING, or OTHER INTERESTS

Numerical Analysis
1

Scopus Publications

Scopus Publications

  • On non-trivial hyperbolic sets and their bifurcations in families of diffeomorphisms of a two-dimensional torus
    Alexey Kazakov, Dmitrii Mints, Iuliia Petrova, Oleg Shilov
    Chaos, 2024
    We propose a simple model—two-parameter family of diffeomorphisms of a two-dimensional torus. Combining analytical and numerical methods, we find regions in the parameter plane such that each diffeomorphism of the family is hyperbolic and describe the structure of the corresponding hyperbolic sets. We also study bifurcations on the boundaries of these regions, which lead to the change of hyperbolicity type (from Anosov diffeomorphisms to DA-diffeomorphisms).