Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Variety of the center and limit cycles of a cubic system, which is reduced to Lienard form. (English)
Authors: Y.L. Bondar, A.P. Sadovskii
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Abstract
In the present work for the system x' = y(1+Dx+Px2), y' = -x + Ax2 + 3Bxy + Cy2 + Kx3 + 3Lx2y + Mxy2 + Ny3 25 cases are given when the point O(0,0) is a center. We also consider a system of the form x' = yP0(x), y' = -x + P2(x)y2 + P3(x)y3, for which 35 cases of a center are shown. We prove the existence of systems of the form x' = y(1+Dx+Px2), . = -x + lambda y + Ax2 + Cy2 + Kx3 + 3Lx2y + Mxy2 + Ny3 with eight limit cycles in the neighborhood of the origin of coordinates.Belarussian State University
F. Skorina Avenue, 4
220050 Minsk, Belarus
E-mail:
E-mail:
F. Skorina Avenue, 4
220050 Minsk, Belarus
E-mail:
E-mail:
Fulltext
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Contents
- Exponential inflationary economic growth. (English)
- The optimal flow in dynamic networks with nonlinear cost functions on edges. (English)
- On check character systems over groups. (English)
- A GL(2,R)-orbits of the polynomial sistems of differential equations. (English)
- Asymptotic Stability of autonomous and Non-Autonomous Discrete Linear Inclusions. (English)
- Stability and fold bifurcation in a system of two coupled demand-supply models. (English)
- Some hyperbolic manifolds. (English)
- Variety of the center and limit cycles of a cubic system, which is reduced to Lienard form. (English)
- Modeling and optimization of melting and solidification process. (English)
