ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Generalized Normal Forms of Systems with Quadratic-Cubic Unperturbed Parts

Author(s):

Vladimir V. Basov

Universitetsky prospekt, 28,
198504, Peterhof, St. Petersburg, Russia,
Saint-Petersburg State University,
The Faculty of Mathematics and Mechanics,
Differential Equations Department

vlvlbasov@rambler.ru

Svetlana E. Petrova

Universitetsky prospekt, 28, 198504, Peterhof, Saint-Petersburg, Russia,
Saint-Petersburg State University,
The Faculty of Mathematics and Mechanics, Differential Equations Department

sveta.e.petrova@gmail.com

Abstract:

All structures of generalized normal forms, to which a two-dimensional autonomous system of ordinary differential equations, whose unperturbed part is a quadratic-cubic polynomial, represented by a quasi-homogeneous polynomial, are obtained by a constructive method.

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