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Solution of the center problem for cubic systems with a bundle of three invariant straight lines. (English)
Authors: Şubă Alexandru
– 0.13 Mb
Abstract
For cubic differential system with three invariant straight lines which pass through the same point it is proved that a singular point with purely imaginary eigenvalues (weak focus) is a center if and only if the focal values g2j+1,j=1..5, vanish.Faculty of Mathematics and Informatics
State University of Moldova
MD-2009 Chisinau, Moldova
E-mail:
State University of Moldova
MD-2009 Chisinau, Moldova
E-mail:
Fulltext
– 0.13 Mb
Contents
- The mathematical legacy of C.S. Sibirsky. (English)
- The Lyapunov stability in restricted problems of cosmic dynamics. (English)
- A Lie algebra of a differential generalized FitzHugh-Nagumo system. (English)
- Quadratic systems with limit cycles of normal size. (English)
- Global attractors for V-monotone nonautonomous dinamical systems. (English)
- Wavelet analysis of nonlinear dynamical systems. (English)
- New constructive methods for analysis of resonant systems. (English)
- Note on multiple zeta-values. (English)
- CMC-surfaces, phi-geodesics and the Caratheodory conjecture. (English)
- Solution of the center problem for cubic systems with a bundle of three invariant straight lines. (English)
- Classification of quadratic systems with a symmetry center and simple infinite singular points. (English)
