Limit cycles of a class of planar polynomial differential systems

Limit cycles of a class of planar polynomial differential systems

In this paper, we study the maximum number of limit cycles that can bifurcate from a linear center, when perturbed inside a class of planar polynomial differential systems of arbitrary degree n. Using averaging theory of first and second order, we estimate the maximum number of limit cycles that thi...

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Veröffentlicht in:Mathematical methods in the applied sciences 2021-11, Vol.44 (17), p.13592-13614
Hauptverfasser: Debz, Nassima, Boulfoul, Amel, Berkane, Abdelhak
Format: Artikel
Sprache:eng
Schlagworte:
averaging theory
Kukles systems
Lienard systems
limit cycles
polynomial differential systems
Polynomials
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Zusammenfassung:In this paper, we study the maximum number of limit cycles that can bifurcate from a linear center, when perturbed inside a class of planar polynomial differential systems of arbitrary degree n. Using averaging theory of first and second order, we estimate the maximum number of limit cycles that this class of systems can exhibit.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7645