TY - JOUR
T1 - Non-existence and uniqueness of limit cycles in a class of generalized Liénard equations
AU - Llibre, Jaume
AU - Valls, Claudia
N1 - Publisher Copyright:
© 2022, Sociedad Matemática Mexicana.
PY - 2022/7
Y1 - 2022/7
N2 - We provide a sharp upper bound for the number of limit cycles of the generalized Liénard differential systems x˙=y+axn+bxk,y˙=cxmwhere n, k, m are positive integers, 1 < n< k and a, b, c∈ R with bc≠ 0. We also provide examples realizing the upper bounds.
AB - We provide a sharp upper bound for the number of limit cycles of the generalized Liénard differential systems x˙=y+axn+bxk,y˙=cxmwhere n, k, m are positive integers, 1 < n< k and a, b, c∈ R with bc≠ 0. We also provide examples realizing the upper bounds.
KW - Periodic orbits
KW - Liénard equations
KW - Limit cycles
UR - https://www.scopus.com/pages/publications/85129799183
UR - https://dialnet.unirioja.es/servlet/articulo?codigo=8580526
U2 - 10.1007/s40590-022-00433-8
DO - 10.1007/s40590-022-00433-8
M3 - Article
AN - SCOPUS:85129799183
SN - 1405-213X
VL - 28
JO - Boletin de la Sociedad Matematica Mexicana
JF - Boletin de la Sociedad Matematica Mexicana
IS - 2
M1 - 41
ER -