Fixed point theorems extending Zehnder's analytic Nash-Moser theorem show Bruno conditions ensure a positive measure set of invariant tori.
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Presents a simplified version of the Hamiltonian normal form with poles at resonance loci, extracted from prior works, for potentially superior approximations compared to Birkhoff normal form.
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Fixed point theorems for small divisors problems
Fixed point theorems extending Zehnder's analytic Nash-Moser theorem show Bruno conditions ensure a positive measure set of invariant tori.
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The Hamiltonian Normal Form
Presents a simplified version of the Hamiltonian normal form with poles at resonance loci, extracted from prior works, for potentially superior approximations compared to Birkhoff normal form.