Herglotz-type vakonomic dynamics and Noether theory of nonholonomic systems with delayed arguments

Li-Qin Huang and Yi Zhang

Chaos, Solitons & Fractals, 2024, vol. 182, issue C

Abstract: The Herglotz-type vakonomic dynamics of nonholonomic constrained systems with delayed arguments and its Noether theory are studied in this paper. First of all, the Herglotz-type equations of time-delayed vakonomic dynamics for nonholonomic systems are established, and the Herglotz-type local extremal equations are given. Secondly, on the basis of derivation of the variational formulas of Hamilton–Herglotz action with time delay, the Herglotz-type Noether symmetry criteria for time-delayed vakonomic dynamics are investigated. Thirdly, the Herglotz-type Noether’s theorems and inverse theorems for time-delayed vakonomic dynamics of nonholonomic systems are deduced. Finally, an example is presented to demonstrate the application of the results.

Keywords: Nonholonomic system; Vakonomic dynamics; Herglotz-type variational principle; Noether theorem; Time delay (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:182:y:2024:i:c:s0960077924004065

DOI: 10.1016/j.chaos.2024.114854

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