Dynamics of an axisymmetric body spinning on a horizontal surface. IV. Stability of steady spin states and the 'rising egg' phenomenon for convex axisymmetric bodies

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 462, Issue 2075, 2006, Pages 3253-3275

  Branicki, M ^a   Shimomura, Y ^b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b KEIO UNIVERSITY   (Japan)

Author keywords

Dynamical systems; Non isolated fixed points; Rigid body dynamics; Rising egg phenomenon; Spinning bodies; Stability analysis

Indexed keywords

EID: 33750562357     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2006.1727     Document Type: Article

References (4)

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2. Bou-Rabee, N. M., Marsden, J. E. & Romero, L. A. 2004 Tippe top inversion as a dissipation-induced instability. SIAM J. Appl. Dyn. Syst. 3, 352-377. (doi:10.1137/030601351)
3. Branicki, M., Moffatt, H. K. & Shimomura, Y. 2006 Dynamics of an axisymmetric body spinning on a horizontal surface. III. Geometry of steady states for a general axisymmetric body. Proc. R. Soc. A 462, 371-390.
4. Moffatt, H. K., Shimomura, Y. & Branicki, M. 2004 Dynamics of an axisymmetric body spinning on a horizontal surface. I. Stability and the gyroscopic approximation. Proc. R. Soc. A 460, 3643-3672. (doi:10.1098/rspa. 2004.1329)