KAM Theorem for a Hamiltonian system with Sublinear Growth Frequencies at Infinity
classification
🧮 math.DS
keywords
frequenciesgrowthhamiltonianinfinityprovesublinearsystemtheorem
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We prove an infinite-dimensional KAM theorem for a Hamiltonian system with sublinear growth frequencies at infinity. As an application, we prove the reducibility of the linear fractional Schr\"odinger equation with quasi-periodic time-dependent forcing.
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