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 Niño/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 graduate and research-level book applies the methodology of dynamical systems theory to investigate the physics of the global ocean circulation, e.g. the dynamics of the Gulf Stream separation and the El Niño/Southern Oscillation phenomenon. It also deals with the numerical methods for applying bifurcation analysis to large dimensional dynamical systems, which arise through discretization of ocean models. Systematic analysis within a hierarchy of models using these techniques leads to a novel approach in understanding the phenomena of climate variability, and an overview is obtained of the relations between the results of the different models within the hierarchy. Mechanistic description of the physics of the results is provided and, where possible, links with results of state-of-the-art models and observations are sought. Each chapter is essentially self-contained and many details of derivations are provided. The second edition has been updated throughout. Exercises presented at the end of each chapter make it a perfect graduate-level text. TOC:Preface.- 1. Introduction.- 2. Background Material.- 3. A Dynamical Systems Point of View.- 4. Numerical Techniques.- 5. The Wind-driven Ocean Circulation.- 6. The Thermohaline Ocean Circulation.- 7. The Dynamics and Physics of ENSO.- Bibliography.- Copyright Acknowledgements.- Index."

Background Material.- A Dynamical Systems Point of View.- Numerical Techniques.- The Wind-Driven Circulation.- The Thermohaline Circulation.- The Dynamics and Physics of ENSO.