Index sums of isolated singular points of positive vector fields

DOI10.3934/DCDS.2009.25.1033zbMath1185.34036OpenAlexW2041538050MaRDI QIDQ1034187

Xiao-Song Yang

Publication date: 11 November 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2009.25.1033

zbMATH Keywords

singular pointshomotopyindex sumpositive vector fields

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Degree theory for nonlinear operators (47H11) Dynamics induced by flows and semiflows (37C10)

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An index theory for positive dynamical systems with an application to Lotka-Volterra systems

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