English

Canards from Chua's circuit

Dynamical Systems 2014-08-25 v1

Abstract

The aim of this work is to extend Beno\^it's theorem for the generic existence of "canards" solutions in singularly perturbed dynamical systems of dimension three with one fast variable to those of dimension four. Then, it is established that this result can be found according to the Flow Curvature Method. Applications to Chua's cubic model of dimension three and four enable to state the existence of "canards" solutions in such systems.

Keywords

Cite

@article{arxiv.1408.5127,
  title  = {Canards from Chua's circuit},
  author = {Jean-Marc Ginoux and Jaume Llibre and Leon L. O. Chua},
  journal= {arXiv preprint arXiv:1408.5127},
  year   = {2014}
}

Comments

arXiv admin note: text overlap with arXiv:1408.4894

R2 v1 2026-06-22T05:36:01.498Z