Bidimensional linear systems with singular dynamics
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- by Sylvia Novo and Rafael Obaya PDF
- Proc. Amer. Math. Soc. 124 (1996), 3163-3172 Request permission
Abstract:
We analyze a class of bidimensional linear systems for which the following characteristics are generic: the system is recurrent and there exists a unique ergodic measure which is concentrated in one ergodic sheet. The trajectories exhibit an oscillatory behaviour from one to the other side of the ergodic sheet which assures the proximal character of the flow.References
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Additional Information
- Sylvia Novo
- Affiliation: Departamento de Matematica Aplicada a la Ingenieria, E.T.S. de Ingenieros Industriales, Universidad de Valladolid, 47011, Valladolid, Spain
- Email: sylnov@wmatem.eis.uva.es
- Rafael Obaya
- Affiliation: Departamento de Matematica Aplicada a la Ingenieria, E.T.S. de Ingenieros Industriales, Universidad de Valladolid, 47011, Valladolid, Spain
- Email: rafoba@wmatem.eis.uva.es
- Received by editor(s): November 4, 1994
- Received by editor(s) in revised form: April 6, 1995
- Additional Notes: Partially supported by Junta de Castilla y León under project VA57/94
- Communicated by: Mary Rees
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 3163-3172
- MSC (1991): Primary 28D05, 58F11; Secondary 34C11
- DOI: https://doi.org/10.1090/S0002-9939-96-03411-9
- MathSciNet review: 1328366