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

  • Ya. A. Prykarpatsky
  • A. M. Samoilenko


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.
How to Cite
Prykarpatsky, Y. A., and A. M. Samoilenko. “Investigation of Invariant Deformations of Integral Manifolds of Adiabatically Perturbed Completely Integrable Hamiltonian Systems. I”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 51, no. 10, Oct. 1999, pp. 1379–1390,
Research articles