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Research report: DEIM-RR-06-001


Title

On the number of limit cycles of the Linard equation

Author/s

Natalia Sadovskaia, and Rafael Ramirez

Date

17-05-2006

Research report type

Recerca

Language

ca

Number of pages

30

Summary

For the Linard equations we study two problems: the bifurcation of the limit cycles from a center by using the Pontriaguin theorem and the Hirsh-Smale problem by applying the generalized Bendixon-Dulac Criterion.

Keywords

Linard equations, The 16th Hilbert Problem, limit cycle, bifurcation, ovals of the algebraic curves