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Integrability conditions for a class of cubic differential systems with a bundle of two invariant straight lines and one invariant cubic
Authors: Dumitru Cozma, Anatoli Dascalescu
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Abstract
We determine conditions for the origin to be a center for a class of cubic differential systems having a bundle of two invariant straight lines and one invariant cubic. We prove that a fine focus $O(0, 0)$ is a center if and only if the first three Lyapunov quantities vanish.Dumitru Cozma
Department of Mathematics
Tiraspol State University
5 Gh. Iablocichin str., Chisinau
MD2069, Republic of Moldova
E-mail:
Anatoli Dascalescu
Institute of Mathematics and Computer Science
5 Academiei str., Chisinau
MD2028, Republic of Moldova
E-mail:
Department of Mathematics
Tiraspol State University
5 Gh. Iablocichin str., Chisinau
MD2069, Republic of Moldova
E-mail:
Anatoli Dascalescu
Institute of Mathematics and Computer Science
5 Academiei str., Chisinau
MD2028, Republic of Moldova
E-mail:
Fulltext
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Contents
- Shape dimension of maps
- Semi-integral filters and semi-integral BL-algebras
- Orthogonality and retract orthogonality of operations
- An Approach for Determining the Optimal Strategies for an Average Markov Decision Problem with Finite State and Action Spaces
- The Center of the Lattice of Factorization Structures
- Properties of finite unrefinable chains of ring topologies for nilpotent rings
- Quartic differential systems with an invariant straight line of maximal multiplicity
- Distances on Free Semigroups and Their Applications
- Integrability conditions for a class of cubic differential systems with a bundle of two invariant straight lines and one invariant cubic
