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.
The Herman conjecture
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abstract
In the nineties, Michel Herman conjectured the existence of a positive measure set of invariant tori at an elliptic diophantine critical point of a hamiltonian function. I show that KAM versal deformation theory solves positively this conjecture.
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2026 1verdicts
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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.