Quasi-modes corresponding to the stable type of conditionally periodic motion

DOI10.1007/BF02110372zbMath0844.70013OpenAlexW2064270731MaRDI QIDQ1898524

Yu. M. Vorob'ev, V. M. Itskov

Publication date: 25 September 1995

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

Full work available at URL: https://doi.org/10.1007/bf02110372

zbMATH Keywords

integral representationspectrumRiccati equationpseudodifferential operatorsymplectic connectionMaslov theorysix-dimensional symplectic spacetwo-dimensional invariant isotropic torus

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Cites Work

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• New global asymptotics and anomalies for the problem of quantization of the adiabatic invariant
• The complex Maslov germ generated by a linear connection
• The rotation number for almost periodic potentials
• Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
• On the construction of quasimodes associated with stable periodic orbits

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