Topological degree in analysis of canard-type trajectories in 3-D systems

Alexei Pokrovskii; Dmitrii Rachinskii; Vladimir Sobolev; Andrew Zhezherun

Topological degree in analysis of canard-type trajectories in 3-D systems

Dynamical Systems 2010-04-23 v1

Authors: Alexei Pokrovskii , Dmitrii Rachinskii , Vladimir Sobolev , Andrew Zhezherun

Abstract

We propose sufficient conditions for existence of topologically stable periodic canard solutions in non-smooth slow-fast systems.

Keywords

topological degree canard trajectory slow-fast system non-smooth system periodic solution

Cite

@article{arxiv.1004.3867,
  title  = {Topological degree in analysis of canard-type trajectories in 3-D systems},
  author = {Alexei Pokrovskii and Dmitrii Rachinskii and Vladimir Sobolev and Andrew Zhezherun},
  journal= {arXiv preprint arXiv:1004.3867},
  year   = {2010}
}