We introduce a simple polynomial Hamiltonian function and we prove that the associated Hamiltonian system is Liouville-$C^\infty$-integrable, but fails to be real-analytically integrable in any neighbourhood of an equilibrium point. The proof only uses power series expansions.
Analytic-non-integrability of an integrable analytic Hamiltonian system
ZAMPIERI, Gaetano
2005-01-01
Abstract
We introduce a simple polynomial Hamiltonian function and we prove that the associated Hamiltonian system is Liouville-$C^\infty$-integrable, but fails to be real-analytically integrable in any neighbourhood of an equilibrium point. The proof only uses power series expansions.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
