TITLE:
A Probabilistic Approach of the Poincaré-Bendixon Problem in Rd
AUTHORS:
Guy Cirier
KEYWORDS:
Perron-Frobenius’s Measure, ODE, Poincaré-Bendixon Problem, Lorenz’s Equations
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.12 No.12,
December
19,
2022
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 Rd.