Sabrina Badi, Amar Makhlouf
Abstract:
Applying the averaging theory of first and second order to a
class of generalized polynomial Lienard differential equations,
we improve the known lower bounds for the maximum number of limit
cycles that this class can exhibit.
Submitted February 17, 2013. Published July 22, 2013.
Math Subject Classifications: 34C25, 34C29, 54D10, 34G15.
Key Words: Limlit cycle; averaging theory; Lienard equation.
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Sabrina Badi Department of Mathematics, University of Guelma P.O. Box 401, Guelma 24000, Algeria email: badisabrina@yahoo.fr | |
Amar Makhlouf Department of Mathematics, University of Annaba P.O. Box 12, Annaba 23000, Algeria email: makhloufamar@yahoo.fr |
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