Analytical research of the Hopf bifurcation in the problem of motion of the rattleback

DOI10.1134/S1063454122020078zbMath1500.70011OpenAlexW4284881538MaRDI QIDQ2674753

E. N. Pikunova, Alexander S. Kuleshov

Publication date: 14 September 2022

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454122020078

zbMATH Keywords

Hopf bifurcationrattlebackpermanent rotationsrolling without sliding

Mathematics Subject Classification ID

Motion of a rigid body in contact with a solid surface (70E18)

Cites Work

• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Cycles of two-dimensional systems: computer calculations, proofs, and experiments
• On the dynamics of a solid on an absolutely rough plane
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