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Invariant tori is a category for books focused on the quasi-periodic, torus-shaped invariant sets that organize motion in dynamical systems, especially in integrable and near-integrable Hamiltonian settings (often termed KAM tori). Titles cover foundational and advanced topics such as KAM and Nekhoroshev theory, small-divisor problems, normal forms, action–angle variables, symplectic geometry, twist maps and Aubry–Mather theory, as well as the mechanisms of persistence and breakdown leading toward chaos. The category includes numerical and computational methods for detecting and continuing invariant tori, alongside applications in celestial mechanics, plasma and accelerator physics, molecular and solid-state dynamics, fluid flows, and control. Works range from graduate-level textbooks and research monographs to survey volumes and proceedings, with occasional historical perspectives on the Kolmogorov–Arnold–Moser program; most assume prior knowledge of differential equations and dynamical systems.

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