Abstract
A new algorithm for computing the Conley index of the Poincare map of a time-periodic nonautonomous ordinary differential equation is presented. The algorithm is based on a theorem which reduces the computation of the index to the study of certain singular chains on an index pair for some small-step translation operator of the equation. In particular, no numerical enclosures of the Poincare map are required. Concrete numerical examples for planar systems are provided.
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