In this book, methodology of dynamical systems theory is applied to
investigate the physics of the large-scale ocean circulation.
Topics include the dynamics of western boundary currents such as
the Gulf Stream in the Atlantic Ocean and the Kurosio in the
Pacific Ocean, the stability of the thermohaline circulation, and
the El NiAo/Southern Oscillation phenomenon in the Tropical
Pacific. The book also deals with the numerical methods to apply
bifurcation analysis on large-dimensional dynamical systems, with
tens of thousands (or more) degrees of freedom, which arise through
discretization of ocean and climate models. The novel approach to
understand the phenomena of climate variability is through a
systematic analysis of the solution structure of a hierarchy of
models using these techniques. In this way, a connection between
the results of the different models within the hierarchy can be
established. Mechanistic description of the physics of the results
is provided and, where possible, links with results of
state-of-the-art ocean (and climate) models and observations are
sought. The reader is expected to have a background in basic fluid
dynamics and applied mathematics, although the level of the text
sometimes is quite introductory. Each of the chapters is rather
self-contained and many details of derivations are provided.
Exercises presented at the end of each chapter make it a perfect
graduate-level text.
This book is aimed at graduate students and researchers in
meteorology, oceanography and related fields who are interested in
tackling fundamental problems in dynamical oceanography and climate
dynamics.
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