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Center problem for a class of cubic systems with a bundle of two invariant straight lines and one invariant conic
Authors: Dumitru Cozma
Keywords: Cubic differential system, center-focus problem, invariant algebraic curve, integrability
– 0.18 Mb
Keywords: Cubic differential system, center-focus problem, invariant algebraic curve, integrability
Abstract
For a class of cubic differential systems with a bundle of two invariant straight lines and one invariant conic it is proved that a weak focus is a center if and only if the first four Liapunov quantities Lj , j = 1, 4 vanish.Fulltext
– 0.18 Mb
Contents
- Generalized hypergeometric systems and the fifth and sixth Painlev´e equations
- Vague BF-algebras
- A heuristic algorithm for the two-dimensional single large bin packing problem
- On isotopy, parastrophy and orthogonality of quasigroups
- On stability of Pareto-optimal solution of portfolio optimization problem with Savages minimax risk criteria
- On quasiidenties of torsion free nilpotent loops
- Center problem for a class of cubic systems with a bundle of two invariant straight lines and one invariant conic
- Method for constructing one-point expansions of a topology* on a finite set and its applications
- Topological rings with at most two nontrivial closed ideals
- Convex Quadrics
- On spaces related to the Navier-Stokes equations
