TY - JOUR
T1 - Limit Cycles of a Class of Generalized Liénard Polynomial Equations
AU - Llibre, J.
AU - Makhlouf, A.
PY - 2015/1/1
Y1 - 2015/1/1
N2 - © 2014, Springer Science+Business Media New York. We prove that the generalized Liénard polynomial differential system (Formula presented.) where p, q, and n are positive integers; ε is a small parameter; and f(x) is a polynomial of degree m which can have [m/2] limit cycles, where [x] is the integer part function of x.
AB - © 2014, Springer Science+Business Media New York. We prove that the generalized Liénard polynomial differential system (Formula presented.) where p, q, and n are positive integers; ε is a small parameter; and f(x) is a polynomial of degree m which can have [m/2] limit cycles, where [x] is the integer part function of x.
KW - (p·q)–Trigonometric functions
KW - Averaging theory
KW - Limit cycles
KW - Liénard systems
KW - Polynomial differential systems
U2 - 10.1007/s10883-014-9253-4
DO - 10.1007/s10883-014-9253-4
M3 - Article
SN - 1079-2724
VL - 21
SP - 189
EP - 192
JO - Journal of Dynamical and Control Systems
JF - Journal of Dynamical and Control Systems
IS - 2
ER -