Nataliia Stepanenko

PhD in Physics and Mathematics

Associate Professor at the Department of Mathematical Physics and Differential Equations

Has been working at Igor Sikorsky Kyiv Polytechnic Institute since 2001

Education

1993-1998 years − Faculty of Mechanics and Mathematics of Taras Shevchenko University of Kyiv (specialty − mathematics).

2004 year − dissertation for the degree of Candidate of Physics and Mathematics on the topic " Sign-changing Lyapunov functions in the theory of differential equations " (specialty 01.01.02 - Differential Equations) at the Institute of Mathematics of the National Academy of Sciences of Ukraine, scientific supervisor - Doctor of Physics and Mathematics, Academician A. M. Samoilenko.

Research Interests

Dichotomy of linear systems of differential equations. Preservation of invariant torus under perturbations. Application of quadratic forms in the theory of regular linear extensions of dynamical systems on a torus.

Main Scientific Publications

Scientific Articles

1. Grod I.M., Kulyk G.M., Stepanenko N.V. "Linearized differential equations in a neighborhood of a multidimensional torus." - Bukovina Mathematical Journal, 2020, V.8, №1. p.84 – 93

2. V.L.Kulyk, N.V.Stepanenko Green–Samoilenko Function of Linear Extensions of Dynamical Systems on a Torus. Journal of Mathematical Sciences 263, p.238-247 (2022) DOI: https://10.1007/s10958-022-05922-9)

3. Viktor Kulyk, Hanna Kulyk and Nataliia Stepanenko, “Linear extensions of dynamical systems on a torus with a degenerate matrix”. ISSN 1562-3076. Nonlinear Oscillations, 2024, V. 27, № 4, p. 502-516

Other Scientific Publications:

https://scholar.google.com/citations?user=T1uW1k8AAAAJ&hl=ru

Educational and Methodological Publications

1. Linear algebra and analytical geometry. Collection of problems [Electronic resource]: a textbook for first-year students of the specialty "Applied mechanics" // compilers: Kopas I.M., Kulyk G.M., Samoilenko T.A., Stepanenko N.V. – Kyiv: Igor Sikorsky Kyiv Polytechnic Institute, 2023. 130 p. (in Ukrainian)

2. Higher Mathematics. Part 1. Collection of Problems [Electronic resource]: a teaching aid for bachelor's degree applicants in specialty 131 Applied Mechanics // compiled by: Zhuravska G.V., Karpalyuk T.O., Kopas I.M., Reva N.V., Samoilenko T.A., Stepanenko N.V. – Kyiv: Igor Sikorsky Kyiv Polytechnic Institute, 2024. 182 p. (in Ukrainian)

Other Educational and Methodological Publications:

https://ela.kpi.ua/browse/author?scope=84564a5e-412a-4afe-942d-c981a8c23378&bbm.page=4

Contact Information

Phone (work): +38 (044) 204-82-46

е-mail: nataliya.stepanenko@lll.kpi.ua