TY - JOUR
T1 - Piecewise linear feedback systems with arbitrary number of limit cycles
AU - Llibre, Jaume
AU - Ponce, Enrique
PY - 2003/1/1
Y1 - 2003/1/1
N2 - The piecewise linear feedback systems with arbitrary number of limit cycles are discussed. Given an arbitrary positive integer n, it is shown that there exists planar piecewise linear differential systems with at least n limit cycles. The method of averaging and periodic orbits is discussed.
AB - The piecewise linear feedback systems with arbitrary number of limit cycles are discussed. Given an arbitrary positive integer n, it is shown that there exists planar piecewise linear differential systems with at least n limit cycles. The method of averaging and periodic orbits is discussed.
KW - Averaging method
KW - Limit cycles
KW - Nonlinear oscillations
U2 - 10.1142/S0218127403007047
DO - 10.1142/S0218127403007047
M3 - Article
SN - 0218-1274
VL - 13
SP - 895
EP - 904
JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
ER -