The aim of this paper is to provide sufficient conditions for the existence of periodic solutions emerging from an upright position of small oscillations of a sleeping symmetrical gyrostat with equations of motion [Equation not available: see fulltext.] being α and β parameters satisfying Δ=α 2-4β>0 and β-α2/2 ± α√Δ/2<0, ε a small parameter and, F 1 and F 2 smooth periodic maps in the variable t in resonance p:q with some of the periodic solutions of the system for ε=0, where p and q are positive integers relatively prime. The main tool used is the averaging theory. © 2013 Springer Science+Business Media Dordrecht.
- Averaging theory
- Periodic solution
- Symmetrical gyrostat
Guirao, J. L. G., Llibre, J., & Vera, J. A. (2013). Periodic solutions induced by an upright position of small oscillations of a sleeping symmetrical gyrostat. Nonlinear Dynamics, 73(1-2), 417-425. https://doi.org/10.1007/s11071-013-0797-8