𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On a topological obstruction to regular forms of stability

✍ Scribed by Klaus Thews

Book ID
107967630
Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
316 KB
Volume
22
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

A topological obstruction to continuous
A topological obstruction to continuous global stabilization of rotational motion and the unwinding phenomenon
✍ Sanjay P. Bhat; Dennis S. Bernstein πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 119 KB

We show that a continuous dynamical system on a state space that has the structure of a vector bundle on a compact manifold possesses no globally asymptotically stable equilibrium. This result is directly applicable to mechanical systems having rotational degrees of freedom. In particular, the resul

A topological obstruction to the geodesi
A topological obstruction to the geodesibility of a foliation of odd dimension
✍ David L. Johnson; A. M. Naveira πŸ“‚ Article πŸ“… 1981 πŸ› Springer 🌐 English βš– 292 KB

Let M be a compact Riemannian manifold of dimension n, and let ~ be a smooth foliation on M. A topological obstruction is obtained, similar to results of R. Bott and J. Pasternack, to the existence of a metric on M for which .~-is totally geodesic. In this case, necessarily that portion of the Pontr