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  • © 2005

Nonlinear Physical Oceanography

A Dynamical Systems Approach to the Large Scale Ocean Circulation and El Niño,

Authors:

  • Application of dynamical systems theory to problems in physical oceanography and climate dynamics
  • Covering all aspects (observational, numerical and theoretical) of the problems in a self-contained way
  • A systematic presentation of the material using a hierarchy of models
  • Exercises at the end of each chapter
  • Suitable for graduate course use as well as an advanced reference

Part of the book series: Atmospheric and Oceanographic Sciences Library (ATSL)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xvi
  2. Introduction

    Pages 1-36
  3. Background Material

    Pages 37-61
  4. Numerical Techniques

    Pages 119-168
  5. Back Matter

    Pages 483-534

About this book

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.

Reviews

Wendy Welch Orlando (Northwest Research Associates, Inc.) in SIAM Vol. 44, No. 1, 2002 on the book's first edition:

"An old distinction comes to mind when considering Henk Dijkstra's satisfying new book on nonlinear physical oceanography: While many texts convey knowledge to the reader, this is a rare example of one which imparts some wisdom. (...) In summary, this text is different from most others in that it combines several different disciplines and drwas on many scientific studies in order to deduce mechanisms of ocean circulation. As it therefore cannot be substituted, and as it meets its unique goals with clarity and thoroughness, it has merited this enthusiastic review".

Several additional reviews on the first edition available, excerpts on the book's homepage on springeronline.

From the reviews of the second edition:

"This book … falls into the broad category of advanced graduate text cum research monograph. It does more than most books in this category to actually serve as a text … . The presentation of the book is excellent and includes a nice selection of color plates at the end … . The book clearly belongs on the shelf or in the departmental library of any serious physical oceanographer and is highly recommended for applied and computational mathematicians … ." (Michael Ghil, Geophysical and Astrophysical Fluid Dynamics, Vol. 102 (3), June, 2008)

Authors and Affiliations

  • Institute for Marine and Atmospheric Research Utrecht, Department of Physics and Astronomy, Utrecht University, Utrecht, The Netherlands

    Henk A. Dijkstra

  • Department of Atmospheric Science, Colorado State University, Fort Collins, USA

    Henk A. Dijkstra

About the author

Henk A. Dijkstra is Full Professor for Physical Oceanography at Colorado State University, Fort Collins. After graduating in applied mathematics at the University of Groningen in 1984, he worked on his Ph.D. in Groningen on a Spacelab experiment and on Marangoni convection under microgravity conditions. He continued this research in chemical engineering at Cornell University. In 1990 he started working on physical oceanography and became Assistant Professor at Utrecht University, in 1996 an Associate Professor and in 2001 a Full Professor there. Henk Dijkstra has developed, consequently, the nonlinear dynamical systems approach to oceanography. Mainly to emphasize that he first computed explicit bifurcation diagram for a global ocean circulation model and explained the structure of equilibria for a hierarchy of models going from a single-hemispheric to the global configuration. He discovered the multidecadal mode in single-hemispheric thermohaline flows and explained its relevance in the Atlantic Multidecadal Oscillation. He demonstrated the existence of steady separation patterns in northern hemispheric western boundary currents and explained the subannual variability through barotropic destabilization of these states. He first analysed the stability of the double-gyre wind driven flows in quasi-geostrophic one- and two-layer models and demonstrated its relevance with respect to low-frequency variability of the ocean gyres.

He became member of the Royal Dutch Academy of Sciences and Arts in 2002. He has published more than 100 papers and a book on Nonlinear Physical Oceanography in 2000. He has organized for several years a session at EGS/EGU meetings on this topic.

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access