Estimates for the sizes of instability zones for the one-dimensional Schrödinger equation with analytic quasiperiodic potential

DOI10.1007/S11072-007-0015-ZzbMath1268.34179OpenAlexW1968901304MaRDI QIDQ355425

O. M. Denysenko

Publication date: 24 July 2013

Published in: Nonlinear Oscillations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11072-007-0015-z

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

• An extension of a result by Dinaburg and Sinai on quasi-periodic potentials
• Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
• Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature
• Convergent series expansions for quasi-periodic motions

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