2017
Том 69
№ 6

All Issues

Investigation of invariant deformations of integral manifolds of adiabatically perturbed completely integrable hamiltonian systems. I

Prikarpatskii Ya. A., Samoilenko A. M.

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Abstract

By using the Cartan differential-geometric theory of integral submanifolds (invariant tori) of completely Liouville-Arnol’d integrable Hamiltonian systems on the cotangent phase space, we consider an algebraic-analytic method for the investigation of the corresponding mapping of imbedding of an invariant torus into the phase space. This enables one to describe analytically the structure of quasiperiodic solutions of the Hamiltonian system under consideration.

English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 10, pp 1556-1568.

Citation Example: Prikarpatskii Ya. A., Samoilenko A. M. Investigation of invariant deformations of integral manifolds of adiabatically perturbed completely integrable hamiltonian systems. I // Ukr. Mat. Zh. - 1999. - 51, № 10. - pp. 1379–1390.

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