Resonance tongues in the quasi-periodic Hill-Schrödinger equation with three frequencies
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Publication:2430536
DOI10.1134/S1560354710520047zbMath1232.37012MaRDI QIDQ2430536
Publication date: 7 April 2011
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
rotation numberFloquet theoryLyapunov exponentspectral gapsresonance tonguesquasi-periodic Schrödinger operatorsnumerical explorationsquasi-periodic cocycles and skew-productsquasi-periodic Hill-Schrödinger equation
Schrödinger operator, Schrödinger equation (35J10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Numerical methods for ordinary differential equations (65L99) Topological dynamics of nonautonomous systems (37B55)
Related Items (5)
Rigorous KAM results around arbitrary periodic orbits for Hamiltonian systems ⋮ Some questions looking for answers in dynamical systems ⋮ Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems ⋮ Rotation number and exponential dichotomy for linear Hamiltonian systems: from theoretical to numerical results ⋮ Resonance tongues and spectral gaps in quasi-periodic Schrödinger operators with one or more frequencies. A numerical exploration
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