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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Bidimensional linear systems
with singular dynamics


Authors: Sylvia Novo and Rafael Obaya
Journal: Proc. Amer. Math. Soc. 124 (1996), 3163-3172
MSC (1991): Primary 28D05, 58F11; Secondary 34C11
MathSciNet review: 1328366
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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.


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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

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03411-9
PII: S 0002-9939(96)03411-9
Keywords: Ergodic sheet, recurrent-proximal system, uniquely ergodic flow, singular dynamics
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
Article copyright: © Copyright 1996 American Mathematical Society