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Timeline for Regularity of center manifold

Current License: CC BY-SA 4.0

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Sep 7, 2022 at 9:06 comment added Sap Hi Jonathan, in his theorem Perko is only assuming that the vector field is $C^r$ for some $r \geq 1$. So there is no extra assumption as far as I understand.
Sep 6, 2022 at 16:03 comment added Jonathan J. Does Perko assume that that the nonlinearity is globally Lipschitz, or make some other extra assumption? One place non-uniqueness sneaks in is when one applies cut-off functions to make locally-Lipschitz functions globally-Lipschitz.
S Sep 6, 2022 at 13:57 review First questions
Sep 6, 2022 at 15:10
S Sep 6, 2022 at 13:57 history asked Sap CC BY-SA 4.0