MAXIMUM NUMBER OF LIMIT CYCLES FOR GENERALIZED LIÉNARD POLYNOMIAL DIFFERENTIAL SYSTEMS.

Autor:	BERBACHE, AZIZA, ANASSER, EL, BENDJEDDOU, AHMED, BENADOUANE, SABAH
Předmět:	POLYNOMIALS DIFFERENTIAL equations GENERALIZABILITY theory LIMIT cycles DIFFERENTIABLE dynamical systems
Zdroj:	Mathematica Bohemica; 2021, Vol. 146 Issue 2, p151-165, 15p
Abstrakt:	We consider limit cycles of a class of polynomial differential systems of the form {x2 = y, y2 = -x - ε(g21(x)y2α+1 + f21(x)y2β) - ε²(g22(x)y2α+1 + f22(x)y2β), where β and α are positive integers, g2j and f2j have degree m and n, respectively, for each j = 1, 2, and ε is a small parameter. We obtain the maximum number of limit cycles that bifurcate from the periodic orbits of the linear center x = y, y = -x using the averaging theory of first and second order. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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