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A Review of Lorenz's Models from 1960 to 2008

Original article: https://doi.org/10.1142/S0218127423300240

Summary

This feature review organizes Edward Lorenz's low-order models from 1960 to 2008 into six model families based on their underlying equations and scientific purpose. It traces how the Lorenz 1963 model, generalized Lorenz models, quasi-geostrophic models, shallow-water models, map-based systems, and other idealized systems shaped modern thinking about chaos, attractor coexistence, intransitivity, and finite predictability. The article emphasizes that Lorenz's work does not point to chaos alone: across these models, ordered, oscillatory, chaotic, and coexisting behaviors all appear, motivating a broader view of predictability in atmospheric and climate systems.

Rendered source page showing three types of solutions within the Lorenz 1963 model
Representative source figure page from Shen (2023), showing three solution types within the Lorenz 1963 model.