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Dissipative Mechanical Systems with Delay

Dynamical Systems 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0412396,
  title  = {Dissipative Mechanical Systems with Delay},
  author = {I. D. Albu and M. Neamtu and D. Opris},
  journal= {arXiv preprint arXiv:math/0412396},
  year   = {2007}
}

Comments

33 pages