Abstract: The attractor set of a forced dissipative dynamical system is for practical purposes the set of points in phase-space which continue to be encountered by an arbitrary orbit after an arbitrary long time. For a reasonably ...

Abstract: After enumerating the properties of a simple model that has been used to simulate the behavior of a scalar atmospheric quantity at one level and one latitude, this paper describes the process of designing one modification ...

Abstract: The equations governing a symmetrically heated rotating viscous fluid are reduced to a system of fourteen ordinary differential equations, by a succession of approximations. The equations contain two external parameters-an ...

Abstract: Two studies that disagree as to whether a slow manifold is present in a particular low-order primitive equation model are compared. It is shown that the discrepancy occurs because of a difference of opinion as to what ...

Abstract: Dynamical systems possessing regimes are identified with those where the state space possesses two or more regions such that transitions of the state from either region to the other are rare. Systems with regimes are ...

Abstract: A rapid procedure for inverting a second-order finite-difference form of the two-dimensional del-square operator is presented. The procedure may be used whenever the precision of the computer significantly exceeds the ...

Abstract: The variations of five-day mean sea-level pressure, averaged about selected latitude circles in the northern hemisphere, and the variations of differences between five-day mean pressures at selected pairs of latitudes are ...

Abstract: We inquire whether an empirical weather forecasting scheme can profitably incorporate a possible nonlinear relationship between observed predictands and predictors. We analyze a set of twice?daily hemispheric 500 mb height ...

Abstract: During the past three centuries. the prevailing ideas about the general circulation of the earth's atmosphere have evolved in a stepwise manner. Early in each step, a new theoretical idea is formulated. Late in each step, ...

Abstract: Two states of the atmosphere which are observed to resemble one another are termed analogues. Eitherstate of a pair of analogues may be regarded as equal to the other state plus a small superposed "error."From the behavior ...