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An ergodic classification of bidimensional linear systems

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Abstract

The ergodic structure of the projective flow induced by a family of bidimensional linear systems is studied. It is shown that the existence of a continuous invariant measure guarantees the existence of another measure, called linear by the authors, which provides substantial information upon the properties of the complex bundle. Some examples are given to illustrate the applicability of these results.

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Novo, S., Obaya, R. An ergodic classification of bidimensional linear systems. J Dyn Diff Equat 8, 373–406 (1996). https://doi.org/10.1007/BF02218760

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  • DOI: https://doi.org/10.1007/BF02218760

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1991 Mathematics Subject Classification

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