Small perturbations of an integrable dynamical system with an integral invariant

zbMath0463.58016MaRDI QIDQ1153592

N. V. Svanidze

Publication date: 1981

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

existence of a smooth family of tori invariant under a nonlinear transformation which is a small perturbation of a translation mapsmooth dependence of the tori with respect to the rotation numbers

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Stability theory for smooth dynamical systems (37C75)

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