TY - JOUR
T1 - Bifurcation of Limit Cycles from a Class of Piecewise Smooth Systems with Two Vertical Straight Lines of Singularity
AU - Gao, Yunfei
AU - Peng, Linping
AU - Liu, Changjian
N1 - Publisher Copyright:
© 2017 World Scientific Publishing Company.
PY - 2017/9/1
Y1 - 2017/9/1
N2 - Perturbing the following systems (x,y) = (-y(1 + by),x(1 + by))x > 0,(-y(1 + ax), x(1 + ax)) x < 0, having a linear center with two vertical straight lines (ab0) of singularity inside the class of all piecewise polynomials of degree n, we give the estimate of the maximum number H(n) of limit cycles bifurcating from the period annulus around the center based on the argument principle and the first order averaging theory. It shows that H(n) is at least [n/2] + 1 bigger than the maximum number of limit cycles bifurcating from the period annulus around the linear center with two parallel straight lines of singularity in [Li & Liu, 2015].
AB - Perturbing the following systems (x,y) = (-y(1 + by),x(1 + by))x > 0,(-y(1 + ax), x(1 + ax)) x < 0, having a linear center with two vertical straight lines (ab0) of singularity inside the class of all piecewise polynomials of degree n, we give the estimate of the maximum number H(n) of limit cycles bifurcating from the period annulus around the center based on the argument principle and the first order averaging theory. It shows that H(n) is at least [n/2] + 1 bigger than the maximum number of limit cycles bifurcating from the period annulus around the linear center with two parallel straight lines of singularity in [Li & Liu, 2015].
KW - Bifurcation of limit cycles
KW - argument principle
KW - averaging method
KW - piecewise polynomial perturbations
KW - piecewise smooth systems
UR - https://www.scopus.com/pages/publications/85031279141
U2 - 10.1142/S0218127417501577
DO - 10.1142/S0218127417501577
M3 - 文章
AN - SCOPUS:85031279141
SN - 0218-1274
VL - 27
JO - International Journal of Bifurcation and Chaos
JF - International Journal of Bifurcation and Chaos
IS - 10
M1 - 1750157
ER -