@article{aa4f6bf951ae4b8285b3d9e9e0343518,
title = "Special Cubic Perturbations of the Duffing Oscillator x′ ′= x- x3 Near the Eight-Loop",
abstract = "We find an upper bound for the number of limit cycles, bifurcating from the eight-loop of the Duffing oscillator x′ ′= x- x3 under the special cubic perturbation x′′=x-x3+λ1y+λ2x2+λ3xy+λ4x2y.",
keywords = "Duffing oscillator, Limit cycles, Melnikov functions",
author = "Lubomir Gavrilov and Ameni Gargouri and Hamed, \{Bassem Ben\}",
note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",
year = "2021",
month = dec,
doi = "10.1007/s00009-021-01868-5",
language = "English",
volume = "18",
journal = "Mediterranean Journal of Mathematics",
issn = "1660-5446",
publisher = "Springer International Publishing",
number = "6",
}