TY - JOUR
T1 - Periodic solutions of the Nathanson's and the Comb-drive models
AU - Llibre, Jaume
AU - Nuñez Lopez, Daniel Elías
AU - Rivera, Andrés
N1 - Publisher Copyright:
© 2018 Elsevier Ltd
PY - 2018/9
Y1 - 2018/9
N2 - We provide sufficient conditions for the existence and stability properties of periodic solutions of the second-order non-autonomous differential equation of the Nathanson's model ẍ+x+aẋ−[Formula presented]=0,and of the Comb-drive model ẍ+x+aẋ−[Formula presented]=0,where x∈R, a, b, v0, δ are positive parameters and v(ωt) is a 2π∕ω-periodic function. The results are obtained using the averaging theory and the lower and upper solution method.
AB - We provide sufficient conditions for the existence and stability properties of periodic solutions of the second-order non-autonomous differential equation of the Nathanson's model ẍ+x+aẋ−[Formula presented]=0,and of the Comb-drive model ẍ+x+aẋ−[Formula presented]=0,where x∈R, a, b, v0, δ are positive parameters and v(ωt) is a 2π∕ω-periodic function. The results are obtained using the averaging theory and the lower and upper solution method.
KW - Nathanson's model
KW - Comb-drive model
KW - Periodic solutions
KW - Averaging theory
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85047188206&origin=resultslist&sort=plf-f&src=s&sid=d9c727637f9256f1067065bc2e3c46a2&sot=b&sdt=b&s=TITLE-ABS-KEY%28Periodic+solutions+of+the+Nathanson%E2%80%99s+and+the+Comb-drive+models%29&sl=78&sessionSearchId=d9c727637f9256f1067065bc2e3c46a2&relpos=1#funding-details
U2 - 10.1016/j.ijnonlinmec.2018.05.009
DO - 10.1016/j.ijnonlinmec.2018.05.009
M3 - Article
AN - SCOPUS:85047188206
SN - 0020-7462
VL - 104
SP - 109
EP - 115
JO - International Journal of Non-Linear Mechanics
JF - International Journal of Non-Linear Mechanics
IS - 1
ER -