| dc.creator | Ruffino, PRC | |
| dc.date | 1999 | |
| dc.date | 2014-07-30T13:39:56Z | |
| dc.date | 2015-11-26T17:00:29Z | |
| dc.date | 2014-07-30T13:39:56Z | |
| dc.date | 2015-11-26T17:00:29Z | |
| dc.date.accessioned | 2018-03-28T23:48:16Z | |
| dc.date.available | 2018-03-28T23:48:16Z | |
| dc.identifier | Computational & Applied Mathematics. Springer Heidelberg, v. 18, n. 2, n. 231, n. 245, 1999. | |
| dc.identifier | 1807-0302 | |
| dc.identifier | WOS:000208765900005 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/53342 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/53342 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1278484 | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description | The concept of matrix of rotation generalizes the rotation number for stochastic dynamical systems given in [11]. This matrix is the asymptotic time average of the Maurer-Cartan form composed with the Riemannian connection along the induced trajectory in the orthonormal frame bundle OM over an n-dimensional Riemannian manifold M. It provides the asymptotic behaviour of an orthonormal n-frame under the action of the derivative flow and the Gram-Schmidt orthonormalization. We lift the stochastic differential equation of the system on M to a stochastic differential equation in OM and we use Furstenberg-Khasminskii argument to prove that the matrix of rotation exists almost surely with respect to invariant measures on this bundle. | |
| dc.description | 18 | |
| dc.description | 2 | |
| dc.description | 231 | |
| dc.description | 245 | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.language | en | |
| dc.publisher | Springer Heidelberg | |
| dc.publisher | Heidelberg | |
| dc.publisher | Alemanha | |
| dc.relation | Computational & Applied Mathematics | |
| dc.relation | Comput. Appl. Math. | |
| dc.rights | aberto | |
| dc.rights | http://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0 | |
| dc.source | Web of Science | |
| dc.subject | Stochastic dynamical systems | |
| dc.subject | matrix of rotation | |
| dc.subject | orthonormal frame bundle | |
| dc.title | Matrix of rotation for stochastic dynamical systems | |
| dc.type | Artículos de revistas | |
