A method for proving the non-existence of limit cycles
Date
2010-03-04T22:54:01Z
Authors
Busenberg, S.
van den Driessche, P.
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Abstract
A general criterion is established for showing the non-existence of periodic solutions and closed phase polygons of differential equations. Several known criteria of this type are obtained as special cases. An extension is obtained for functional differential equations and several applications are given for specific special cases including homogeneous systems and population dynamics equations.
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Keywords
nonexistence of periodic solutions, Bendixson-Dulac criterion, homogeneous differential equations, functional differential equations, population dynamics systems