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摘要
This 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-infinity hyperbolic diffeomorphisms are formally equivalent if and only if they are C-infinity-equivalent. The latter result is a version, in the Banach space context, of a classical theorem by Chen.
- 出版日期2009-8
- 单位上海交通大学
