Canard Cycles and Poincaré Index of Non-Smooth Vector Fields on the Plane

Details Canard Cycles and Poincaré Index of Non-Smooth Vector Fields on the Plane Canard Cycles and Poincaré Index of Non-Smooth Vector Fields on the Plane

2010-02-22

arxiv.org/abs/1002.4169v2

Mathematics

Dynamical Systems

20 pages, 25 figures

Scientific paper

This paper is concerned with closed orbits of non-smooth vector fields on the plane. For a subclass of non-smooth vector fields we provide necessary and sufficient conditions for the existence of canard kind solutions. By means of a regularization we prove that the canard cycles are singular orbits of singular perturbation problems which are limit periodic sets of a sequence of limit cycles. Moreover, we generalize the Poincar\'e Index for non-smooth vector fields.

Affiliated with

Also associated with

No associations

Rating

Canard Cycles and Poincaré Index of Non-Smooth Vector Fields on the Plane 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 Canard Cycles and Poincaré Index of Non-Smooth Vector Fields on the Plane, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Canard Cycles and Poincaré Index of Non-Smooth Vector Fields on the Plane will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-374019