Limit Cycles for a Class of Polynomial Differential Systems Via Averaging Theory

DOI10.17516/1997-1397-2019-12-2-145-159OpenAlexW2922930743MaRDI QIDQ5853367

Aziza Berbache, Ahmed Bendjeddou, Abdelkrim Kina

Publication date: 18 March 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu743

zbMATH Keywords

limit cyclesaveraging theoryLiénard differential systems

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Ordinary differential equations (34-XX)

Cites Work

• Unnamed Item
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• ON THE NUMBER OF LIMIT CYCLES FOR A GENERALIZATION OF LIÉNARD POLYNOMIAL DIFFERENTIAL SYSTEMS
• The number of small-amplitude limit cycles of Liénard equations
• Limit cycles of the generalized polynomial Liénard differential equations
• Small-amplitude limit cycle bifurcations for Liénard systems with quadratic or cubic damping or restoring forces
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
• On the number of limit cycles of a class of polynomial differential systems

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