Mathematics > Dynamical Systems
[Submitted on 28 Apr 2025
]
Title: Fixed point theorems for small divisors problems
Title: 关于小除数问题的不动点定理
Abstract: In the seventies', Zehnder found a Nash-Moser type implicit function theorem in the analytic set-up. This theorem has found many applications in dynamical systems although its applications require, as a general rule, some efforts. We develop further the analytic theory and give fixed point theorems with direct applications to the study of dynamical systems.
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