TY - JOUR
T1 - Limit cycles for m-piecewise discontinuous polynomial Liénard differential equations
AU - Llibre, Jaume
AU - Teixeira, Marco Antonio
PY - 2014/1/1
Y1 - 2014/1/1
N2 - © 2014, Springer Basel. We provide lower bounds for the maximum number of limit cycles for the m-piecewise discontinuous polynomial differential equations (Formula Precented.), (Formula Presented.), where the zero set of the function sgn(gm(x, y)) with m = 2, 4, 6,.. is the product of m/2 straight lines passing through the origin of coordinates dividing the plane into sectors of angle 2π/m, and sgn(z) denotes the sign function.
AB - © 2014, Springer Basel. We provide lower bounds for the maximum number of limit cycles for the m-piecewise discontinuous polynomial differential equations (Formula Precented.), (Formula Presented.), where the zero set of the function sgn(gm(x, y)) with m = 2, 4, 6,.. is the product of m/2 straight lines passing through the origin of coordinates dividing the plane into sectors of angle 2π/m, and sgn(z) denotes the sign function.
KW - 34C25
KW - 34C29
KW - 47H11
U2 - 10.1007/s00033-013-0393-2
DO - 10.1007/s00033-013-0393-2
M3 - Article
SN - 0044-2275
VL - 66
SP - 51
EP - 66
JO - Zeitschrift fur Angewandte Mathematik und Physik
JF - Zeitschrift fur Angewandte Mathematik und Physik
IS - 1
ER -