Periodic solutions and their stability for the problem of gyrostat

Details Periodic solutions and their stability for the problem of gyrostat Periodic solutions and their stability for the problem of gyrostat

Sep 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991ap%26ss.183..199e&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 183, no. 2, Sept. 1991, p. 199-213.

Mathematics

Dynamical Systems

1

Gyroscopic Stability, Perturbation Theory, Dynamical Systems, Hamiltonian Functions, Transformations (Mathematics)

Scientific paper

The Hamiltonian function of the problem of gyrostat is written in terms
of Deprit's transform. The periodic solutions, using Lie's transform,
are given and the condition for their stability is carried out.

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