Differentiability of the Hartman--Grobman linearization

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1.
Department of Mathematics, The Pennsylvania State University, University Park, PA 16802-6401
2.
Department of Mathematics, Tufts University, Medford, MA 02155-5597
3.
Department of Mathematics, 360 Portola Plaza, MS Building, University of California, Los Angeles, CA 90095

Received: July 2002

Revised: November 2002

Published: July 2003

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Abstract

We show that the linearizing homeomorphism in the Hartman--Grobman Theorem is differentiable at the fixed point.

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Mathematics Subject Classification: 37A60.

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