- 06-92 Rayskin
- Smooth dependence of linearization on perturbations
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Mar 23, 06
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Abstract. We show that a linearizing homeomorphism has the $C^1$-dependence on perturbations of nonlinear terms of an underlying diffeomorphism. We also present an expression for the derivative of the linearization with respect to the perturbations of the nonlinear terms.
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