Centering conditions for planar septic systems
Date
2003-04-03
Authors
Volokitin, Evgenii P.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We find centering conditions for the following O-symmetric system of degree 7:
ẋ = y + x(H2(x, y) + H6(x, y)),
ẏ = -x + y(H2(x, y) + H6(x, y)),
where H2(x, y) and H6(x, y) are homogeneous polynomials of degrees 2 and 6, respectively. In some cases, we can find commuting systems and first integrals for the original system. We also study the geometry of the central region.
Description
Keywords
Centering conditions, Isochronicity, Commutativity
Citation
Volokitin, E. P. (2003). Centering conditions for planar septic systems. <i>Electronic Journal of Differential Equations, 2003</i>(34), pp. 1-7.
Rights
Attribution 4.0 International