Abstract
Climate dynamics provides a meeting and testing ground for two areas of recent inquiry: (a) the theory and modeling of complex bio-geophysical systems, and (2) the theory and applications of nonlinear dynamical systems. The purpose of this brief review is to illustrate, by example more than by generalities, recent progress in theoretical climate dynamics. The simplicity of the models used as examples allows a rather complete analysis, physical and mathematical, of the underlying concepts: (i) internal variability of the climatic system, manifested by self-sustained, free oscillations; (ii) quasi-equilibrium response to external forcing; and (iii) interaction between the free and forced variations of the system. The illustration proceeds through these three steps to show how simple, forced climatic oscillators may explain most of the features of Quaternary isotopic records. Along the way, the tools of dynamical systems and bifurcation theory are explained and applied.
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