Ducks on the torus: existence and uniqueness

Details Ducks on the torus: existence and uniqueness Ducks on the torus: existence and uniqueness

2009-10-10

arxiv.org/abs/0910.1888v1

Journal of Dynamical and Control Systems, Vol. 16, Number 2, April 2010, 267-300

Mathematics

Dynamical Systems

To appear in Journal of Dynamical and Control Systems, presumably Vol. 16 (2010), No. 2; The final publication is available at

Scientific paper

10.1007/s10883-010-9093-9

We show that there exist generic slow-fast systems with only one (time-scaling) parameter on the two-torus, which have canard cycles for arbitrary small values of this parameter. This is in drastic contrast with the planar case, where canards usually occur in two-parametric families. Here we treat systems with a convex slow curve. In this case there is a set of parameter values accumulating to zero for which the system has exactly one attracting and one repelling canard cycle. The basin of the attracting cycle is almost the whole torus.

Affiliated with

Also associated with

No associations

Rating

Ducks on the torus: existence and uniqueness 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 Ducks on the torus: existence and uniqueness, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ducks on the torus: existence and uniqueness will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-619544