Least constraint and contact dynamics of stochastic vector bundles

D.Y. Zhong and G.Q. Wang

Chaos, Solitons & Fractals, 2025, vol. 201, issue P1

Abstract: We embed probability evolution into contact geometry, revealing a non-closed contact structure on stochastic vector bundles. A least-constraint theorem is formulated as the dissipative and stochastic counterpart of the least-action principle. As demonstrated in the example, it unifies under-, over-, and critically-damped regimes through a single constraint function that geometrically encodes both noise and dissipation.

Keywords: Stochastic vector bundles; Contact structures; Dynamical equations; Least constraint theorem (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:201:y:2025:i:p1:s0960077925011567

DOI: 10.1016/j.chaos.2025.117143

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