Reducibility of 1-d Schrödinger equation with unbounded time quasiperiodic perturbations. III
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DOI: 10.1063/1.5048726
Abstract: In this paper, we study the reducibility of time quasiperiodic perturbations of the quantum harmonic or anharmonic oscillator in one space dimension. We modify known algorithms obtaining a reducibility result which allows us to deal… read more here.
Keywords: reducibility schr; reducibility; quasiperiodic perturbations; schr dinger ... See more keywords
Quasiperiodic Perturbations of Two-Dimensional Hamiltonian Systems
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DOI: 10.1134/s0012266117120047
Abstract: Quasiperiodic nonconservative perturbations of two-dimensional Hamiltonian systems are studied. The behavior of solutions in a neighborhood of resonance and nonresonance levels is considered. Conditions for the existence of resonant quasiperiodic solutions (m-dimensional resonance tori) are… read more here.
Keywords: dimensional hamiltonian; two dimensional; perturbations two; quasiperiodic perturbations ... See more keywords