TY - JOUR
T1 - Periodic solutions for differential systems in ℝ3and ℝ4
AU - Feddaoui, Amina
AU - Llibre, Jaume
AU - Berhail, Chemseddine
AU - Makhlouf, Amar
N1 - Publisher Copyright:
© 2020 Amina Feddaoui et al., published by Sciendo 2020.
PY - 2021/1/1
Y1 - 2021/1/1
N2 - We provide sufficient conditions for the existence of periodic solutions for the differential systems x′=y, y′=z, z′=-y-ϵF(t,x,y,z), andx′=y, y′=-x-ϵG(t,x,y,z,u), z′=u, u′=-z-ϵH(t,x,y,z,u), where F, G and H are 2π-periodic functions in the variable t and ϵ is a small parameter. These differential systems appear frequently in many problems coming from the sciences and the engineering.
AB - We provide sufficient conditions for the existence of periodic solutions for the differential systems x′=y, y′=z, z′=-y-ϵF(t,x,y,z), andx′=y, y′=-x-ϵG(t,x,y,z,u), z′=u, u′=-z-ϵH(t,x,y,z,u), where F, G and H are 2π-periodic functions in the variable t and ϵ is a small parameter. These differential systems appear frequently in many problems coming from the sciences and the engineering.
KW - averaging theory
KW - memory oscillators
KW - periodic orbit
KW - third-order differential equation
UR - https://www.scopus.com/pages/publications/85100040186
U2 - 10.2478/amns.2020.2.00079
DO - 10.2478/amns.2020.2.00079
M3 - Article
AN - SCOPUS:85100040186
SN - 2444-8656
VL - 6
SP - 373
EP - 380
JO - Applied Mathematics and Nonlinear Sciences
JF - Applied Mathematics and Nonlinear Sciences
IS - 1
ER -