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CENTERS OF SOME CUBIC SYSTEMS 被引量:2

CENTERS OF SOME CUBIC SYSTEMS
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摘要 We solve the l:-l resonant center problem for two cubic systems with complex coefficients. We solve the l:-l resonant center problem for two cubic systems with complex coefficients.
出处 《Annals of Differential Equations》 2001年第4期363-376,共14页 微分方程年刊(英文版)
关键词 the center problem INTEGRABILITY polynomial differential systems the center problem, integrability, polynomial differential systems
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  • 1Dumitru Cozma.The Problem of the Centre for Cubic Systems with Two Parallel Invariant Straight Lines and One Invariant Conic[J]. Nonlinear Differential Equations and Applications NoDEA . 2009 (2)
  • 2Dumitru Cozma,Alexandru ?ub?.Partial integrals and the first focal value in the problem of centre[J]. Nonlinear Differential Equations and Applications NoDEA . 1995 (1)
  • 3Y.L.Bondar,A.P.Sadovskii.Variety of the center and limit cycles of a cubic system,which is reduced to Linard form. Bull.Acad.Sci.of Moldova,Mathematics . 2004
  • 4X.Chen,V.G.Romanovski.Linearizability conditions of time-reversible cubic systems. Journal of Mathematical . 2010
  • 5C.Christopher,J.Llibre,C.Pantazi,X.Zhang.Darboux integrability and invariant algebraic curves for planar polynomial systems. Journal of Physics A Mathematical and General . 2002
  • 6D.Cozma,A.S?uba?.The solution of the problem of center for cubic differential systems with four invariant straight lines. Scientific Annals of the"Al.I.Cuza"University(Romania),Mathematics . 1998
  • 7R.E.Kooij.Cubic systems with four line invariants,including complex conjugated lines. Dif-ferential Equations Dynam.Systems . 1996
  • 8V.Levandovskyy,A.Logar,V.G.Romanovski.The cyclicity of a cubic system. Open Systems&Information Dynamics . 2009
  • 9V.Levandovskyy,V.G.Romanovski,D.S.Shafer.The cyclicity of a cubic system with nonra-dical Bautin ideal. Journal of Differential Equations . 2009
  • 10K.S.Sibirskii.On the number of limit cycles in the neighborhood of a singular point. Diffe-rentsial’nye Uravneniya . 1965

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