On orbital topological equivalence of cubic ODEs in two-dimensional algebras
Keywords
Non-associative algebras, polynomial equations in algebra, complex structures, quadratic and cubic differential systems in algebras, bounded solutions, orbital topological equivalence of phase portraits.Abstract
Cubic differential systems in real commutative two-dimensional algebras are classified up to orbital topological equivalence via the solubility of polynomial equations in algebras. As a by-product, existence of bounded solutions in such systems is studied via complex structures in the algebras. Application to the existence of periodic solutions to $n$-dimensional differential systems "cubic at infinity" is given.Downloads
Published
2005-06-01
How to Cite
1.
BALANOV, Zolman, KRAWCEWICZ, Wiesław and ZUR, Shira. On orbital topological equivalence of cubic ODEs in two-dimensional algebras. Topological Methods in Nonlinear Analysis. Online. 1 June 2005. Vol. 25, no. 2, pp. 205 - 234. [Accessed 19 April 2024].
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