On the reducibility of quasiperiodic linear Hamiltonian systems and its applications in Schrödinger equation

DOI10.1155/2020/6260253zbMath1444.37045OpenAlexW3023893642MaRDI QIDQ2188096

Publication date: 3 June 2020

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/6260253

zbMATH Keywords

reducibility Schrödinger equation quasiperiodic linear Hamiltonian system

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
The stability of the elliptic equilibrium of planar quasi-periodic Hamiltonian systems
On the stability of a functional equation deriving from additive and quadratic functions
The Hyers-Ulam stability of a functional equation deriving from quadratic and cubic functions in quasi-$\beta $-normed spaces
The stability of the equilibrium of planar Hamiltonian and reversible systems
On the effective reducibility of a class of quasi-periodic Hamiltonian systems
On the reducibility of a class of nonlinear quasi-periodic system with small perturbation parameter near zero equilibrium point
Full measure reducibility for generic one-parameter family of quasi-periodic linear systems
Stability of a mixed type functional equation on multi-Banach spaces: a fixed point approach
Smoothness of spectral subbundles and reducibility of quasi periodic linear differential systems
On the reducibility of linear differential equations with quasiperiodic coefficients
Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
The one-dimensional Schrödinger equation with a quasiperiodic potential
On the reducibility of almost periodic systems of linear differential equations
Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems
On the effective reducibility of a class of quasi-periodic linear Hamiltonian systems close to constant coefficients
Stability of zero solutions of essentially nonlinear one-degree-of-freedom Hamiltonian and reversible systems
On the reducibility of a class of finitely differentiable quasi-periodic linear systems
On the stability of a mixed functional equation deriving from additive, quadratic and cubic mappings
Effective Reducibility of Quasi-periodic Linear Equations Close To Constant Coefficients
A Lyapunov-type stability criterion using $L^\alpha $ norms
On Quasi-Periodic Perturbations of Elliptic Equilibrium Points
On the reducibility of a class of linear differential equations with quasiperiodic coefficients
Intuitionistic fuzzy stability of a quadratic functional equation

This page was built for publication: On the reducibility of quasiperiodic linear Hamiltonian systems and its applications in Schrödinger equation