Integrable systems in planar robotics
From MaRDI portal
Publication:4965850
zbMath1462.37068arXiv1909.09707MaRDI QIDQ4965850
Nguyen Tien Zung, Tudor S. Ratiu
Publication date: 10 March 2021
Full work available at URL: https://arxiv.org/abs/1909.09707
volume formplanar linkageNambu structurecommuting flowsnon-Hamiltonian integrabilitycross-product of integrable systems
Kinematics of mechanisms and robots (70B15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Robot dynamics and control of rigid bodies (70E60)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- The Euler characteristic of the configuration space of planar spidery linkages
- Geometric design of linkages.
- The symplectic geometry of polygons in Euclidean space
- A conceptual approach to the problem of action-angle variables
- Geometry of nondegenerate \({\mathbb R}^n\)-actions on \(n\)-manifolds
- Invitation to topological robotics
- Combinatorial characterization of the Assur graphs from engineering
- Pinching constants for hyperbolic manifolds
- Extended integrability and bi-Hamiltonian systems
- The cohomology ring of polygon spaces
- Configuration spaces of mechanical linkages
- Polygon spaces and Grassmannians
- Singular fibers of the bending flows on the moduli space of 3D polygons
- Universality theorems for configuration spaces of planar linkages
- Commuting foliations
- Eine Klasse von 3-dimensionalen Mannigfaltigkeiten. I, II
- Homology of planar polygon spaces
- Geometry of Integrable non-Hamiltonian Systems
- The symplectic topology of completely integrable Hamiltonian systems
- Generalized Hamiltonian Dynamics
- On the moduli space of polygons in the Euclidean plane
This page was built for publication: Integrable systems in planar robotics