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Smooth equivalence of differential equations and linear automorphisms
Authors:V. S. Samovol
Affiliation:(1) Russian State University for the Humanities, Moscow
Abstract:For systems of ordinary differential equations admitting linear automorphisms, we consider the problems of smooth equivalence and linearization preserving these automorphisms. Translated fromMatematicheskie Zametki, Vol. 66, No. 4, pp. 567–578, October, 1999.
Keywords:ordinary differential equation  local smooth equivalence  linear automorphism  stable manifold  unstable manifold  Sternberg-Chen theorem  Ginzburg-Landau equation
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