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Non-smooth homoclinic bifurcation in a conceptual climate model

Published online by Cambridge University Press:  05 April 2018

JULIE LEIFELD
JULIE LEIFELD*
Affiliation:
Department of Mathematics, University of Minnesota, Minneapolis, MN, USA email: leif0020@umn.edu
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Abstract

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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 non-smooth climate application. Here, we describe the non-smooth bifurcation structure, as well as the smooth bifurcation structure for which the non-smooth homoclinic bifurcation is a limiting case.

Keywords

34A3634B6034C2337G15
Type
Papers
Information
European Journal of Applied Mathematics , Volume 29 , Special Issue 5: Theory and applications of nonsmooth dynamical systems , October 2018 , pp. 891 - 904
Copyright
Copyright © Cambridge University Press 2018 

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