LOCAL PHASE-PORTRAITS OF PLANE HOMOGENEOUS POLYNOMIAL SYSTEMS

Xiao Jing YANG

Journal of Systems Science and Mathematical Sciences ›› 1999, Vol. 19 ›› Issue (2) : 150-156.

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Journal of Systems Science and Mathematical Sciences ›› 1999, Vol. 19 ›› Issue (2) : 150-156. DOI: 10.12341/jssms09847
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LOCAL PHASE-PORTRAITS OF PLANE HOMOGENEOUS POLYNOMIAL SYSTEMS

  • Xiao Jing YANG
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Abstract

Ly using Newton polyhedra method, the local phase-portraits of some homogeneous polynomial vector fields are discussed, and some necessary and sufficient conditions for the local stability of the origin are obtained.

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Plane polynomial homogeneous systems / Newton polyhedra / index of a singularity

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Xiao Jing YANG. LOCAL PHASE-PORTRAITS OF PLANE HOMOGENEOUS POLYNOMIAL SYSTEMS. Journal of Systems Science and Mathematical Sciences, 1999, 19(2): 150-156 https://doi.org/10.12341/jssms09847
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