A Probabilistic Approach of the Poincaré-Bendixon Problem in Rd - Advances in Pure Mathematics

APM > Vol.12 No.12, December 2022

Advances in Pure Mathematics

Volume 12, Issue 12 (December 2022)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.50 Citations h5-index & Ranking

A Probabilistic Approach of the Poincaré-Bendixon Problem in R^d ()

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DOI: 10.4236/apm.2022.1212055 81 Downloads 449 Views

Author(s)

Guy Cirier

Affiliation(s)

LSTA, University Pierre et Marie Curie Sorbonne, Paris, France.

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.

KEYWORDS

Perron-Frobenius’s Measure, ODE, Poincaré-Bendixon Problem, Lorenz’s Equations

Share and Cite:

Cirier, G. (2022) A Probabilistic Approach of the Poincaré-Bendixon Problem in R^d. Advances in Pure Mathematics, 12, 724-741. doi: 10.4236/apm.2022.1212055.

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