Geometry of invariant tori of certain integrable systems with symmetry and an application to a nonholonomic system

DOI10.3842/SIGMA.2007.051zbMath1137.37029arXivmath/0703665MaRDI QIDQ2473448

Andrea Giacobbe, Francesco Fassoò

Publication date: 27 February 2008

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703665

zbMATH Keywords

symmetrynonlinear dynamicsintegrable systemsnonholonomic mechanics

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Nonholonomic dynamical systems (37J60)

Related Items (7)

Conservation of `moving' energy in nonholonomic systems with affine constraints and integrability of spheres on rotating surfaces ⋮ First integrals and symmetries of nonholonomic systems ⋮ Quasi-periodicity in relative quasi-periodic tori ⋮ On the dynamics of a heavy symmetric ball that rolls without sliding on a uniformly rotating surface of revolution ⋮ On some aspects of the dynamics of a ball in a rotating surface of revolution and of the kasamawashi art ⋮ Control of locomotion systems and dynamics in relative periodic orbits ⋮ Integrability and dynamics of the \(n\)-dimensional symmetric Veselova top

This page was built for publication: Geometry of invariant tori of certain integrable systems with symmetry and an application to a nonholonomic system