Index sums of isolated singular points of positive vector fields

Xiao-Song Yang

doi:10.3934/dcds.2009.25.1033

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2009, Volume 25, Issue 3: 1033-1039. Doi: 10.3934/dcds.2009.25.1033

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Index sums of isolated singular points of positive vector fields

Xiao-Song Yang^1,

1.
Department of Mathematics, Huazhong University of Science and Technology, Wuhan, 430074

Received: May 2008

Revised: April 2009

Published: September 2009

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Abstract

In this paper we establish a theory on index sum of isolated singular points of positive vector fields and present a formula of index sum of isolated singular points of a positive vector field in the positive othant of $R^n$.

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Mathematics Subject Classification: 34D20; 37C10; 55M25; 57R25.

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