Asymptotic stability of forced oscillations emanating from a limit cycle

Details Asymptotic stability of forced oscillations emanating from a limit cycle Asymptotic stability of forced oscillations emanating from a limit cycle

2009-09-24

arxiv.org/abs/0909.4366v1

Mathematics

Classical Analysis and ODEs

Scientific paper

Classical conditions for asymptotic stability of periodic solutions bifurcating from a limit cycle rely on the derivative of the corresponding bifurcation function F at the bifurcation point t. We show that for analytic systems this result is the one of topological nature, namely the topological index ind(t,F) is conclusive versus the sign of the derivative (d/dt)F(t). This allows to detect asymptotic stability also in the case when (d/dt)F(t)=0.

Affiliated with

Also associated with

No associations

Rating

Asymptotic stability of forced oscillations emanating from a limit cycle does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Asymptotic stability of forced oscillations emanating from a limit cycle, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic stability of forced oscillations emanating from a limit cycle will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-424872