Non-formally integrable centers admitting an algebraic inverse integrating factor
Copyright policy )Non-formally integrable centers admitting an algebraic inverse integrating factor
Westudy the existence of a class of inverse integrating factor for a family of non formally integrable systems, in general, whose lowest-degree quasi-homogeneous term is a Hamiltonian vector field. Once the existence of an inverse integrat ing factor is established, we characterize the systems having a center. Among others, we characterize the centers of the systems whose lowest-degree quasiho mogeneous term is (-y3,x3)T with an algebraic inverse integrating factor. Keywords: Nonlinear differential systems, Inverse integrating factor, Integrability problem, Degenerate center problem
18 pages
- University of Huelva Spain
Periodic solutions, 12 Matemáticas, I.2.7, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Dynamical Systems (math.DS), integrability, inverse integrating factor, centers, F.2.2; I.2.7, normal form, nonlinear differential systems, Factores integrantes inversos, FOS: Mathematics, Mathematics - Dynamical Systems, F.2.2, Symmetries, invariants of ordinary differential equations, Transformation and reduction of ordinary differential equations and systems, normal forms, 14J60 (Primary) 14F05, 14J26 (Secondary)
Periodic solutions, 12 Matemáticas, I.2.7, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Dynamical Systems (math.DS), integrability, inverse integrating factor, centers, F.2.2; I.2.7, normal form, nonlinear differential systems, Factores integrantes inversos, FOS: Mathematics, Mathematics - Dynamical Systems, F.2.2, Symmetries, invariants of ordinary differential equations, Transformation and reduction of ordinary differential equations and systems, normal forms, 14J60 (Primary) 14F05, 14J26 (Secondary)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).1 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!