Gayane V. Rudnyeva

Rudnyeva

 

Rudnyeva Gayane V.

Associate Professor
PhD  in Mathematics and Physics

E-mail:  gayane.rudnyeva@khpi.edu.ua

 

 

EDUCATION
1995-2000: Kharkov National University named after V.N.Karazin (Faculty of mechanics and mathematics, specialty of applied mathematics), Kharkiv, Ukraine;
2000-2004: Post-graduate course in NTU “KhPI”, Kharkiv, Ukraine. The scientific supervisor is prof. Yu.V. Mikhlin;
2005: Awarded a PhD degree in Mathematics and Physics (speciality: Mathematical Modelling and Simulation). The theme of the dissertation thesis: Development of the numerical-analytical method of investigation of transition from regular to chaotic dynamics in nonlinear systems.

PROFESSIONAL CAREER
2000-2003: PhD student, Department of Applied Mathematics of National Technical University “Kharkiv Polytechnic Institute”, Kharkiv, Ukraine;
2000-2005: Assistant lecturer, Department of Applied Mathematics of
National Technical University “Kharkiv Polytechnic Institute”, Kharkiv, Ukraine;
2005-2006: Senior lecturer, Department of Applied Mathematics of
National Technical University “Kharkiv Polytechnic Institute”, Kharkiv, Ukraine;
2006 to present: Associate Professor, Department of Applied Mathematics of
National Technical University “Kharkiv Polytechnic Institute”, Kharkiv, Ukraine.

TRAINEESHIPS
3 months Scientific Traineeships (June – August 2006) in Mcgill University (Canada).

AREA OF EXPERTISE
Scientific results in: Nonlinear dynamics; Chaotic behavior in nonlinear systems; Nonlinear normal modes.
Current research focuses on: Nonlinear normal modes under the stochastic influence.

INTERNATIONAL SCIENTIFIC ACTIVITY
Secretary of the 6th Int. Conf. on Nonlinear Dynamics at the National Technical University “Kharkiv Polytechnic Institute”, Kharkiv, Ukraine (Oct., 2020); of the 3rd Int. Conf. on Nonlinear Dynamics at the National Technical University “Kharkov Polytechnic Institute”, Kharkiv, September, 21-24, 2010; of the 2nd Int. Conf. on Nonlinear Dynamics at the National Technical University “Kharkov Polytechnic Institute”, Kharkiv, September, 25-28, 2007; of the Int. Conf. on Nonlinear Dynamics at the National Technical University “Kharkiv Polytechnic Institute”, Kharkiv, September, 14-16, 2004.

SCIENTIFIC PROFILES

Scopus      Scholar

h-index (Scopus)=3
h-index (Google Scholar)=4

THE LATEST SCIENTIFIC PUBLICATIONS

1.  Mikhlin Yu.V. , Manucharyan G.V. (Rudnyeva G.V.) The construction of homo- and heteroclinic orbits in non-linear systems // Journal of Applied Mathematics and Mechanics. – Amsterdam (The Netherlands): Elsevier, 2005. – Vol.69.
2.  Yu.V.Mikhlin, T.V.Shmatko and G.V.Manucharyan. Lyapunov definition and stability of regular or chaotic vibration modes in systems with several equilibrium positions //Computers and Structures, 2004, 82, с. 2733-2742.
3.  Л.П.Дзюбак, Г.В.Манучарян, Ю.В.Михлин, ,Т.В.Шматко, Устойчивость регулярных и хаотических форм колебаний в системах с несколькими положениями равновесия // Механика твёрдого тела. – №2. – 2006. – 168-179.
4.  Ю.В.Михлин, Г.В.Руднева, Т.В.Бунакова. Переходные процессы в системах с двумя степенями свободы, содержащих существенно нелинейный гаситель // Вестник национального технического университета «ХПИ». – 2007. – с.95-102.
5.  Mikhlin Yu.V. , Avramov K.V.  and Rudnyeva G.V. Analytical Methods for Analysis of Transitions to Chaotic Vibrations in Mechanical Systems // Nonlinear Dynamics and Systems Theory, 9 (4) (2009), 375–406.
6.  Mikhlin, Y.V., Plaksiy, K.Y., Shmatko, T.V., Rudneva, G.V. Normal modes of chaotic vibrations and transient normal modes in nonlinear systems // Advanced Structured Materials, 2019, 94, p. 85–100.
7.  Mikhlin, Y.V., Rudnyeva, G.V. Stability of similar nonlinear normal modes under random excitation //Nonlinear Dynamics, 2021, 103(4), p. 3407–3415.

THE LATEST EDUCATIONAL PUBLICATIONS

1. Rudnyeva G.V. Elements of Linear Algebra and Analytic Geometry (навчальний посібник) // Харків: НТУ “ХПІ”, 2008. -160 с.;
2. В. М. Бурлаєнко, Руднєва Г.В., С. Д. Дiмiтрова-Бурлаєнко. An introduction to probability theory and mathematical statistics (навчальний посібник) // Харків: НТУ «ХПІ», 2013, 432 с.
3. Rudnyeva G.V. Elements of Linear Algebra and Analytic Geometry. Second revised and expanded edi-tion (навчальний посібник) // Харків: ФОП Панов А.М., 2020. – 236 с.
4. Ліннік Г.Б., Морачковська І.О., Руднєва Г.В. Невизначені інтеграли. Методичні вказівки. // Харків: НТУ «ХПІ», 2021, 48 с.
5. Ліннік Г.Б., Морачковська І.О., Руднєва Г.В. Числові та функціональні ряди. Методичні вказі-вки. // Харків: НТУ «ХПІ», 2021, 36 с.
6. Ліннік Г.Б., Морачковська І.О., Руднєва Г.В. Границя та похідна функції однієї змінної. Мето-дичні вказівки. // Харків: НТУ «ХПІ», 2021, 40 с.