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Dissipative Mechanical Systems with Delay

I. D. Albu·M. Neamtu·D. Opris
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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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I. D. Albu, M. Neamtu, D. Opris. 2004-12-20. Dissipative Mechanical Systems with Delay. https://arxiv.org/abs/math/0412396

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