Dynamical system in a neighborhood of an invariant toroidal manifold

zbMATH Open0733.34052MaRDI QIDQ810241

A. M. Samoilenko

Publication date: 1991

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

zbMATH Keywords

systems of variational equationsreducibility theoremsmooth change of variablessmooth invariant toroidal manifold

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Asymptotic expansions of solutions to ordinary differential equations (34E05) Stability of manifolds of solutions to ordinary differential equations (34D35)

Related Items (6)

Dynamical Organization of Recollisions by a Family of Invariant Tori ⋮ Disguised toric dynamical systems ⋮ Дискретные динамические системы с инвариантным асимптотически устойчивым тороидальным многообразием ⋮ Unnamed Item ⋮ Investigation of a dynamical system in a neighborhood of an invariant toroidal manifold in the general case ⋮ Investigation of a discrete dynamical system in a neighborhood of the invariant torus

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