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"This book introduces stochastic dynamical systems theory in order to synthesize our current knowledge of climate variability. Nonlinear processes, such as advection, radiation and turbulent mixing, play a central role in climate variability. These processes can give rise to transition phenomena, associated with tipping or bifurcation points, once external conditions are changed. The theory of dynamical systems provides a systematic way to study these transition phenomena. Its stochastic extension also forms the basis of modern (nonlinear) data analysis techniques, predictability studies and data assimilation methods. Early chapters apply the stochastic dynamical systems framework to a hierarchy of climate models to synthesize current knowledge of climate variability. Later chapters analyse phenomena such as the North Atlantic Oscillation, El Niño/Southern Oscillation, Atlantic Multidecadal Variability, Dansgaard-Oeschger Events, Pleistocene Ice Ages, and climate predictability. This book will prove invaluable for graduate students and researchers in climate dynamics, physical oceanography, meteorology and paleoclimatology"--Provided by publisher. "Chapter 1: Climate Variability Complex motions on the sphere; CCDGAD, Aerial Boundaries, Michael Hedges. Human life is possible because of the specific conditions of the fluid envelopes surrounding the Earth. These fluid envelopes and the processes affecting their behavior are usually grouped into one system: the climate system. Quantities in the climate system, such as temperature and precipitation, vary on many time scales and these variations are highly relevant for many aspects of human life, such as food production and safety. There are many very good textbooks containing a description of the components of the climate system (Peixoto and Oort, 1992; Ruddiman, 2001), the relevant processes (Hartmann, 1994) and the modeling of the development of this system (McGuffie and Henderson-Sellers, 2006; Neelin, 2011). Many of these books first introduce the radiation balance with all the physical, chemical and biological processes affecting it. Next, the large-scale atmospheric circulation and ocean circulation are considered followed by the smaller-scale processes in these components of the climate system. Finally, the role of the biosphere and cryosphere are discussed. This is a book in which variability in the climate system is viewed from a stochastic dynamical systems framework"--Provided by publisher.

Climatology --- Dynamic climatology. --- Statistical methods. --- Dynamic climatology --- Statistical methods

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Dynamic meteorology --- Meteorology --- Dynamic climatology

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This book introduces stochastic dynamical systems theory in order to synthesize our current knowledge of climate variability. Nonlinear processes, such as advection, radiation and turbulent mixing, play a central role in climate variability. These processes can give rise to transition phenomena, associated with tipping or bifurcation points, once external conditions are changed. The theory of dynamical systems provides a systematic way to study these transition phenomena. Its stochastic extension also forms the basis of modern (nonlinear) data analysis techniques, predictability studies and data assimilation methods. Early chapters apply the stochastic dynamical systems framework to a hierarchy of climate models to synthesize current knowledge of climate variability. Later chapters analyse phenomena such as the North Atlantic Oscillation, El Niño/Southern Oscillation, Atlantic Multidecadal Variability, Dansgaard-Oeschger events, Pleistocene ice ages and climate predictability. This book will prove invaluable for graduate students and researchers in climate dynamics, physical oceanography, meteorology and paleoclimatology.

Climatology --- Dynamic climatology. --- Statistical methods.

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Numerical weather prediction is a problem of mathematical physics. The complex flows in the atmosphere and oceans are believed to be accurately modelled by the Navier-Stokes equations of fluid mechanics together with classical thermodynamics. However, due to the enormous complexity of these equations, meteorologists and oceanographers have constructed approximate models of the dominant, large-scale flows that control the evolution of weather systems and that describe, for example, the dynamics of cyclones and ocean eddies. The simplifications often result in models that are amenable to solution both analytically and numerically. The lectures in these volumes examine and explain why such simplifications to Newton's second law produce accurate, useful models and, just as the meteorologist seeks patterns in the weather, mathematicians seek structure in the governing equations, such as groups of transformations, Hamiltonian structure and stability. This 2002 book and its companion show how geometry and analysis facilitate solution strategies.

Dynamic meteorology --- Dynamic climatology --- Ocean-atmosphere interaction

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For advanced undergraduate and beginning graduate students in atmospheric, oceanic, and climate science, Atmosphere, Ocean and Climate Dynamics is an introductory textbook on the circulations of the atmosphere and ocean and their interaction, with an emphasis on global scales. It will give students a good grasp of what the atmosphere and oceans look like on the large-scale and why they look that way. The role of the oceans in climate and paleoclimate is also discussed. The combination of observations, theory and accompanying illustrative laboratory experiments sets this text apart by m

Dynamic climatology. --- Gravity. --- Ocean-atmosphere interaction. --- Geophysics --- Mechanics --- Pendulum