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Bidimensional linear systems with singular dynamics
Author(s):
Sylvia
Novo;
Rafael
Obaya
Journal:
Proc. Amer. Math. Soc.
124
(1996),
3163-3172.
MSC (1991):
Primary 28D05, 58F11;
Secondary 34C11
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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.
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
DOI:
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
Copyright of article:
Copyright
1996,
American Mathematical Society
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