Перегляд за автором "Maksymenko, S.I."

Сортувати за: Порядок: Результатів:

  • Deformations of circle-valued Morse functions on surfaces 
    Maksymenko, S.I. (Український математичний журнал, 2010)
    Let M be a smooth connected orientable compact surface and let Fcov(M,S1) be a space of all Morse functions f : M → S₁ without critical points on ∂M such that, for any connected component V of ∂M, the restriction f : V → ...
  • Kernel of a map of a shift along the orbits of continuous flows 
    Maksymenko, S.I. (Український математичний журнал, 2010)
    Let F:M × R → M be a continuous flow on a topological manifold M. For every subset V⊂M, we denote by P(V) the set of all continuous functions ξ:V→R such that F(x,ξ(x))=x for all x∈V. These functions vanish at nonperiodic ...
  • Period functions for C⁰- and C¹-flows 
    Maksymenko, S.I. (Український математичний журнал, 2010)
    Let F:M×R→M be a continuous flow on a manifold M, let V ⊂ M be an open subset, and let ξ:V→R be a continuous function. We say that ξ is a period function if F(x, ξ(x)) = x for all x ∈ V. Recently, for any open connected ...
  • Symmetries of a center singularity of a plane vector fields 
    Maksymenko, S.I. (Нелінійні коливання, 2009)
    Let D² ⊂ R² be a closed unit 2-disk centered at the origin O ∈ R², and F be a smooth vector field such that O is a unique singular point of F and all other orbits of F are simple closed curves wrapping once around O. Thus ...
  • Symmetries of center singularities of plane vector fields 
    Maksymenko, S.I. (Нелінійні коливання, 2010)
    Let D² ⊂ R² be a closed unit 2-disk centered at the origin O ∈ R², and F be a smooth vector field such that O is a unique singular point of F and all other orbits of F are simple closed curves wrapping once around O. Thus ...