Dissipative Mechanical Systems with Delay

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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.
33 pages

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Dynamical Systems, 34K13, 34K20, 37G15, 53D20

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http://salesiana.dossiersoluciones.com/handle/123456789/73642

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412396
 http://arxiv.org/abs/math/0412396

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arXiv