Nonlinear Physical Oceanography: A Dynamical Systems Approach to the Large Scale Ocean Circulation and El Niņo,
In the ?rst edition of this book (publishedby Kluwer Academic in November 2000) the methodology of dynamical systems theory was introduced and appli- ̃ cations of this theory to the large-scale ocean circulation and El Nino were p- vided. Surprisedby the favorable reactions, I decided to make a second edition of the book which could be more easily used as a textbook for a graduate (700-level) course. The ?rst edition has undergone a substantial rewrite on three aspects: (i)thetext has been adapted at manylocations to improve clarity and readability, (ii)many recent results on thewind-driven ocean circulation, thethermohaline ̃ circulation and El Nino have been included, and (iii) a number of exercises have been added at the end of each chapter. In chapter 1, the description of what is known from observations on the global ocean circulation has been improved by including, for example, recent estimates of transport quantities. Both thechapters 2 and 3 have only slightly changed; in chapter 3, the text on homoclinic orbits has been extended as these type of phenomena have now clearly been found in the wind-driven double-gyre ocean circulation (as presented in chapter 5). In chapter 4, I have added a paragraph on the computation of isolated branches of steady states and the text on the iterative linear systems solvers has been shortened.
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Nonlinear Physical Oceanography: A Dynamical Systems Approach to the Large ...
Henk A. Dijkstra
No preview available - 2005
advection amplitude annual-mean atmosphere baroclinic barotropic basin behavior bifurcation diagram boundary conditions branch changes climate system cold tongue computed convective coupled density Dijkstra dimensionless double-gyre eigenvalue eigenvector ENSO equations equatorial example feedback Figure Floquet multipliers flow forcing frequency freshwater flux gradient Gulf Stream gyre heat flux heat transport hence homoclinic orbit Hopf bifurcation horizontal indicated Kelvin wave Kuroshio layer matrix maximum meridional overturning multidecadal multiple equilibria Neelin Ni˜no NINO3 nonlinear North Atlantic occur ocean circulation ocean model ofthe oscillation oscillatory Pacific parameter pattern periodic orbit perturbation pitchfork bifurcation plotted in Fig problem propagation regime Rossby waves saddle-node bifurcation scale seasonal cycle shown in Fig spatial SST anomaly steady solutions streamfunction surface symmetric Technical box thermocline trajectories transcritical bifurcation unstable upwelling values variability vector velocity vertical wind stress Younger Dryas zero zonally averaged