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Homoclinic bifurcations in an ocean circulation box model

Titz, S., Kuhlbrodt, T. ORCID: https://orcid.org/0000-0003-2328-6729 and Feudel, U. (2002) Homoclinic bifurcations in an ocean circulation box model. International Journal of Bifurcation and Chaos, 12 (04). pp. 869-875. ISSN 1793-6551

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To link to this item DOI: 10.1142/S0218127402004759

Abstract/Summary

The qualitative behavior of a conceptual ocean box model is investigated. It is a paradigmatic model of the thermohaline ocean circulation of the Atlantic. In a bifurcation study, the two occurring bifurcations, a saddle-node and a Hopf bifurcation, are computed analytically. Using normal form theory, it is shown that the latter bifurcation is always subcritical. The unstable periodic orbit emerging at the Hopf bifurcation vanishes in a homoclinic bifurcation. The results are interpreted with respect to the stability of the thermohaline circulation.

Item Type:Article
Refereed:Yes
Divisions:No Reading authors. Back catalogue items
ID Code:111689
Publisher:World Scientific

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