Stability in mechanics and dynamics; a brief historical tour from Newton to modern tools, including Riemannian structures and entropy

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The mathematical theory of stability in mechanics has evolved significantly from Newton's early developments to incorporate modern tools such as Riemannian structures and entropy within a dynamical systems framework. Novelty: ClaimNovelty.SYNTHESIS. Consensus alignment: ConsensusAlignment.NEUTRAL.

Roland Gunesch

doi:10.1002/pamm.202300002

May 1, 2023PAMM

Stability in mechanics and dynamics; a brief historical tour from Newton to modern tools, including Riemannian structures and entropy

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Abstract

This article presents some historical developments in the theory of stability in mechanics from a dynamical systems point of view, focusing on mathematical methods from the earliest developments (Newton) and explaining some classical and some recent methods used, including Riemannian structures, entropy and notions of stability in dynamics.

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Roland Gunesch (2023) studied this question.

synapsesocial.com/papers/6a1cfca91c2cbcb15c5d9e00 https://doi.org/10.1002/pamm.202300002

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Stability in mechanics and dynamics; a brief historical tour from Newton to modern tools, including Riemannian structures and entropy

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Stability in mechanics and dynamics; a brief historical tour from Newton to modern tools, including Riemannian structures and entropy

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Abstract

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