Infinite--dimensional, discrete hamiltonian systems of the type kinetic energy + potential energy over ${\Bbb R}^{{\Bbb Z}}\times {\Bbb T}^{{\Bbb Z}}$ are studied. The existence of many quasi--periodic motions with a maximal set of nonzero frequencies is shown.
Perfetti, P. (2009). A KAM theorem for infinite--dimensional discrete systems. MPEJ, 9(1), 1-16.
A KAM theorem for infinite--dimensional discrete systems
PERFETTI, PAOLO
2009-01-01
Abstract
Infinite--dimensional, discrete hamiltonian systems of the type kinetic energy + potential energy over ${\Bbb R}^{{\Bbb Z}}\times {\Bbb T}^{{\Bbb Z}}$ are studied. The existence of many quasi--periodic motions with a maximal set of nonzero frequencies is shown.File in questo prodotto:
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