Rescaled expansivity and separating flows

Alfonso Artigue

doi:10.3934/dcds.2018193

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2018, Volume 38, Issue 9: 4433-4447. Doi: 10.3934/dcds.2018193

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Rescaled expansivity and separating flows

Alfonso Artigue

Departamento de Matemática y Estadística del Litoral, Universidad de la República, Gral. Rivera 1350, Salto, Uruguay

Received: July 31, 2017

Published: August 2018

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Abstract

In this article we give sufficient conditions for Komuro expansivity to imply the rescaled expansivity recently introduced by Wen and Wen. Also, we show that a flow on a compact metric space is expansive in the sense of Katok-Hasselblatt if and only if it is separating in the sense of Gura and the set of fixed points is open.

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Mathematics Subject Classification: 37B05.

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References

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