Dissipative Mechanical Systems with Delay

2004/12/20 by I. D. Albu, Albu, I. D., M. Neamtu +5 · 1 citation
Computer Science · Mathematics · #34K13 #34K20 #37G15 #53D20 #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Neural Networks Stability and Synchronization #Nonlinear Dynamics and Pattern Formation #math.DS #msc:34K13 #msc:34K20 #msc:37G15 #msc:53D20

paper · pdf · doi:10.48550/arxiv.math/0412396

33 pages

arxiv created 2004/12/20 · openalex publication_date 2004/12/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The idea of dissipative mechanical system with delay is proposed. The paper studies the phenomenon of dissipation with delay for Euler-Poincare systems on Lie algebras or equivalently, for Lie-Poisson systems on the duals of Lie algebras. The study was suggested by the work [2] and it is ended with a discussion regarding the stability and the Hopf bifurcations for the free rigid body with delay.

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