Title of article :
Oscillations in a van der Pol equation with
delayed argument
Author/Authors :
J.C.F. de Oliveira، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2002
Abstract :
We consider the van der Pol equation
d2
dt2 u(t )− ε
d
dt
u(t )+ εu2(t − r)
d
dt
u(t − r)+ u(t ) = 0
with the delayed time r, where r and ε are real parameters, with ε > 0 small and
0 r < π/2, and prove the existence and stability of a periodic solution with period
near 2π and amplitude near 2/√cos r. With these properties, this solution is unique, up
to translations in time.
2002 Elsevier Science (USA). All rights reserved
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications