Heavy rigid body with a gyroscope in $\mathbb R^n$
Abstract
Starting from the following multidimensional integrable generalizations of the heavy rigid body systems: the Euler top, the Lagrange top, the Lagrange bitop, and the totally symmetric case, we add to each of them a gyroscope. For each of the newly constructed systems, we provide a polynomial matrix Lax representation and prove Liouville integrability.
Fields of Study & Subjects
Advanced Differential Equations and Dynamical Systems
Nonlinear Waves and Solitons
Aerospace Engineering and Control Systems
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 7 January 2026
- Document type
- Preprint