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A Probabilistic Approach of the Poincaré-Bendixon Problem in R<sup><i>d</i></sup>
LSTA, University Pierre et Marie Curie Sorbonne, Paris, France
- 1 LSTA, University Pierre et Marie Curie Sorbonne, Paris, France
Advances in Pure Mathematics·Volume 12 (2022)·Pages 724–741·Published 8 December 2022·DOI10.4236/apm.2022.1212055
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Abstract
We present how a probabilistic model can describe the asymptotic behavior of the iterations, with applications for ODE and approach of the Poincaré- Bendixon’s problem in R d .
KeywordsPerron-Frobenius’s MeasureODEPoincaré-Bendixon ProblemLorenz’s Equations
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