BibTex format
@unpublished{Olszowiec:2018,
author = {Olszowiec, C and Turaev, D},
title = {On the non-transverse homoclinic channel of a center manifold},
url = {http://arxiv.org/abs/1805.10448v1},
year = {2018}
}
Publications
Citation
RIS format (EndNote, RefMan)
TY - UNPB
AB - We consider a scenario when a stable and unstable manifolds of compact centermanifold of a saddle-center coincide. The normal form of the ODE governing thesystem near the center manifold is derived and so is the normal form of thereturn map to the neighbourhood of the center manifold. The limit dynamics ofthe return map is investigated by showing that it might take the form of aHenon-like map possessing a Lorenz-like attractor or satisfy 'cone-fieldcondition' resulting in partial hyperbolicity. We consider also motivatingexample from game theory.
AU - Olszowiec,C
AU - Turaev,D
PY - 2018///
TI - On the non-transverse homoclinic channel of a center manifold
UR - http://arxiv.org/abs/1805.10448v1
ER -