3 papers
nlin.SI2025
Geometric Characterization of Liouville Integrability via a Curvature Atlas for Rigid-Body Dynamics
Evgeny A. Mityushov
We introduce a curvature atlas for left-invariant metrics on SU(2), based on the inertial curvature field derived from the Euler-Poincare equations. We prove that the classical int…
nlin.SI2025
Curvature atlas II: geometric classification of integrable rigid-body regimes
Evgeny A. Mityushov
This paper is the second part of a curvature-based program for rigid-body dynamics on SU2. In Part I, Curvature-Driven Dynamics on S3: A Geometric Atlas, we introduced the inertial…
nlin.SI2025
Curvature-driver d.dynamics on : a geometric atlas
Evgeny A. Mityushov
We develop a geometric atlas of dynamical regimes on the rotation group SU(2), combining geodesic flows, heavy rigid body dynamics, and a curvature-based decomposition of the Euler…