Article ID Journal Published Year Pages File Type
4634423 Applied Mathematics and Computation 2008 9 Pages PDF
Abstract

The complex formulas of computing the Lyapunov values are investigated for two planar polynomial systems with a pair of pure imaginary eigenvalues. The relations between the two systems and their standard forms are discussed and the transformation formulas are given. The corresponding complex formulas of computing the Lyapunov values are obtained. The results obtained here can be applied to judging the type of singular points and the number of limit cycles in planar polynomial systems.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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