Dissipative Mechanical Systems with Delay

Details Dissipative Mechanical Systems with Delay Dissipative Mechanical Systems with Delay

2004-12-20

arxiv.org/abs/math/0412396v1

Mathematics

Dynamical Systems

33 pages

Scientific paper

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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