{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T17:51:35Z","timestamp":1761933095048,"version":"build-2065373602"},"reference-count":28,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2004,3]]},"abstract":"<jats:p> We present a study of ocean convection parameterization based on a novel approach which includes both eddy diffusion and advection and consists of a two-dimensional lattice of bistable maps. This approach retains important features of usual grid models and allows to assess the relative roles of diffusion and advection in the spreading of convective cells. For large diffusion our model exhibits a phase transition from convective patterns to a homogeneous state over the entire lattice. In hysteresis experiments we find staircase behavior depending on stability thresholds of local convection patterns. This nonphysical behavior is suspected to induce spurious abrupt changes in the spreading of convection in ocean models. The final steady state of convective cells depends not only on the magnitude of the advective velocity but also on its direction, implying a possible bias in the development of convective patterns. Such bias points to the need for an appropriate choice of grid geometry in ocean modeling. <\/jats:p>","DOI":"10.1142\/s0218127404009648","type":"journal-article","created":{"date-parts":[[2004,4,14]],"date-time":"2004-04-14T07:46:19Z","timestamp":1081928779000},"page":"999-1015","source":"Crossref","is-referenced-by-count":11,"title":["COUPLED BISTABLE MAPS: A TOOL TO STUDY CONVECTION PARAMETERIZATION IN OCEAN MODELS"],"prefix":"10.1142","volume":"14","author":[{"given":"PEDRO G.","family":"LIND","sequence":"first","affiliation":[{"name":"Centro de Geof\u00edsica,  Universidade de \u00c9vora, 7000 \u00c9vora, Portugal"},{"name":"Instituto de F\u00edsica,  Universidade Federal do Rio Grande do Sul, 91501-970 Porto Alegre, Brazil"},{"name":"Unidade de Meteorologia e Climatologia, Instituto de Ci\u00eancia Aplicada e Tecnologia, Faculdade de Ci\u00eancias,  Universidade de Lisboa, 1749-016 Lisboa, Portugal"}]},{"given":"SVEN","family":"TITZ","sequence":"additional","affiliation":[{"name":"Arbeitsgruppe Nichtlineare Dynamik,  Institut f\u00fcr Physik, Universit\u00e4t Potsdam,  D-14415 Potsdam, Germany"}]},{"given":"TILL","family":"KUHLBRODT","sequence":"additional","affiliation":[{"name":"Potsdam-Institut f\u00fcr Klimafolgenforschung, D-14412 Potsdam, Germany"}]},{"given":"JO\u00c3O A. M.","family":"CORTE-REAL","sequence":"additional","affiliation":[{"name":"Centro de Geof\u00edsica,  Universidade de \u00c9vora, 7000 \u00c9vora, Portugal"},{"name":"Instituto de F\u00edsica,  Universidade Federal do Rio Grande do Sul, 91501-970 Porto Alegre, Brazil"}]},{"given":"J\u00dcRGEN","family":"KURTHS","sequence":"additional","affiliation":[{"name":"Arbeitsgruppe Nichtlineare Dynamik,  Institut f\u00fcr Physik, Universit\u00e4t Potsdam,  D-14415 Potsdam, Germany"}]},{"given":"JASON A. 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