 09131 M. Guardia, S. J. Hogan, T. M. Seara
 An analytical approach to codimension2 sliding bifurcations in the dry friction oscillator
(781K, zip)
Aug 3, 09

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. In this paper, we consider analytically sliding bifurcations of
periodic orbits in the dry friction oscillator. The system depends
on two parameters; $F$, which corresponds to the intensity of the
friction and $\omega$, the frequency of the forcing. We prove the
existence of infinitely many codimension2 bifurcation points and we
focus our attention on two of them; $A_1:=(\omega\ii, F)=(2, 1/3)$
and $B_1:=(\omega\ii, F)=(3,0)$. We derive analytic expressions in
($\omega\ii$, $F$) parameter space for the codimension1 bifurcation
curves that emanate from $A_1$ and $B_1$. We show excellent
agreement with recent numerical calculations by P. Kowalczyk and
P. Piiroinen.
 Files:
09131.src(
09131.keywords ,
BifPeriodicOrbits_v15.zip.mm )