Linearization via the Lie Derivative

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Linearization via the Lie Derivative

Author: Carmen Chicone, Richard Swanson | Size: 420 KB | Format: PDF | Quality: Unspecified | Publisher: American Mathematical Society | Year: 2000 | pages: 64

The standard proof of the Grobman--Hartman linearization theorem for a flow at a hyperbolic rest point proceeds by first establishing the analogous result for hyperbolic fixed points of local diffeomorphisms. In this exposition we present a simple direct proof that avoids the discrete case altogether.

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