Lipschitz conjugacy of linear flows

• Autores: Christoph Kawan, Torben Stender
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 80, Nº 3, 2009, págs. 699-715
• Idioma: inglés
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• Resumen

  • In this paper, we characterize Lipschitz conjugacy of linear flows on Rd algebraically. We show that two hyperbolic linear flows are Lipschitz conjugate if and only if the Jordan forms of the system matrices are the same except for the simple Jordan blocks where the imaginary parts of the eigenvalues may differ. Using a well-known result of Kuiper we obtain a characterization of Lipschitz conjugacy for arbitrary linear flows