Nonsmooth Homoclinic Bifurcation in a Conceptual Climate Model
Dynamical Systems
2016-02-01 v1
Abstract
Collision of equilibria with a splitting manifold has been locally studied, but might also be a contributing factor to global bifurcations. In particular a boundary collision can be coincident with collision of a virtual equilibrium with a periodic orbit, giving an analogue to a homoclinic bifurcation. This type of bifurcation is demonstrated in a nonsmooth climate application. Here we describe the nonsmooth bifurcation structure, as well as the smooth bifurcation structure for which the nonsmooth homoclinic bifurcation is a limiting case.
Cite
@article{arxiv.1601.07936,
title = {Nonsmooth Homoclinic Bifurcation in a Conceptual Climate Model},
author = {Julie Leifeld},
journal= {arXiv preprint arXiv:1601.07936},
year = {2016}
}