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In Three-dimensional Space Of A Class Of Quasi Homogeneous Vector Field Geometry Properties

Posted on:2013-07-07Degree:MasterType:Thesis
Country:ChinaCandidate:B CaiFull Text:PDF
GTID:2230330371991756Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
It This paper uses the equivalence relation between the three-dimensional intends homogeneous vector field and three-dimensional homogeneous vector field, while drawing on the alignment vector field research methods, some of the conclusions of the homogeneous vector field successfully extended to the intended Qitimes a vector field. In this paper, three-dimensional space of the system has been to transform transformed into spherical and conical, projected onto the plane up to investigate the geometric properties, and finally return to the three-dimensional space to derive the geometric properties of the original equation by the same cone. In this way we get the nature of such a model in space plays an important role and significance of similar biological model.
Keywords/Search Tags:Quasi-homogeneous vector fields, tangent vector field, the same cone, Quasi-Homogeneous vector fields
PDF Full Text Request
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