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- W2031779686 abstract "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 being α and β parameters satisfying Δ=α 2−4β>0 and $beta-frac{alpha^{2}}{2}pm frac{alpha sqrt{varDelta }}{2}<0$ , 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." @default.
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- W2031779686 date "2013-02-08" @default.
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- W2031779686 title "Periodic solutions induced by an upright position of small oscillations of a sleeping symmetrical gyrostat" @default.
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- W2031779686 doi "https://doi.org/10.1007/s11071-013-0797-8" @default.
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