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Shadowing for linear systems of differential equations

1993
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Publicacions matemàtiques
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For a system of linear ordinary differential equations with constant coefficients a simple proof is given that hyperbolicity is equivalent to shadowing. 1 . The notion of shadowing or the pseudo orbit tracing property (abbr.POTP) usually appears if one considers a dynamical system on a compact manifold . The famous Shadowing Lemma says, rough1y speaking, that hyperbolicity implies the POTP. There are a number of proofs of this result : all of them rather complicated and tedious . In every case

doi:10.5565/publmat_37293_01
fatcat:cz6rtbec7jbvpkf423mhdsyp4u