Embedding diffeomorphisms in flows in Banach spaces
2009 ◽
Vol 29
(4)
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pp. 1349-1367
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AbstractThis paper concerns the problem of embedding, in the flow of an autonomous vector field, a local diffeomorphism near a hyperbolic fixed point in a Banach space. To solve the problem, we first extend Floquet theory to Banach spaces, and then prove that two C∞ hyperbolic diffeomorphisms are formally equivalent if and only if they are C∞-equivalent. The latter result is a version, in the Banach space context, of a classical theorem by Chen.
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1986 ◽
Vol 33
(3)
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pp. 407-418
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1999 ◽
Vol 59
(3)
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pp. 361-367
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