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The stability problem and the existence of periodic orbits in the heavy top dynamics. (English) Zbl 1103.70302
Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 4th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 6–15, 2002. Sofia: Coral Press Scientific Publishing (ISBN 954-90618-4-1/pbk). 248-256 (2003).
From the paper: A detailed analysis for the Lagrange top of spectral stability, nonlinear stability (using the energy-Casimir methods), and the existence of periodic orbits (using results of J. Moser [Commun. Pure Appl. Math. 29, No. 6, 727–747 (1976; Zbl 0346.34024)] .
For the entire collection see [Zbl 1008.00022].
MSC:
70E50 Stability problems in rigid body dynamics
70K42 Equilibria and periodic trajectories for nonlinear problems in mechanics
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