Width of parametric resonance regions for equations on a torus

DOI10.1007/BF02307201zbMath0922.34033OpenAlexW2135298462MaRDI QIDQ1282515

Sergey Yu. Sadov

Publication date: 3 October 1999

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02307201

zbMATH Keywords

Fourier transformMathieu equationwinding numberHill equation\(2\pi\)-periodic solutionsforbidden regiondifferential equation on torusparametric resonance region

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Ordinary differential equations and systems on manifolds (34C40) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Cites Work

• Unnamed Item
• Resonance regions for Mathieu type dynamical systems on a torus
• Pseudocharacters on the group \(\text{SL}(2,\mathbb{Z})\)
• A correction to the paper ``Hypergeometric functions and toric varieties

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