The normal form of a system, close to a Hamiltonian system

DOI10.1007/BF01236294zbMath0719.34065MaRDI QIDQ2640019

Alexander D. Bruno

Publication date: 1990

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

zbMATH Keywords

periodic solutionscyclevariationnormal systemalmost Hamiltonian systemformal transformation of coordinates

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Hamilton's equations (70H05)

Related Items (4)

Algorithms of the local nonlinear analysis ⋮ Method for finding periodic trajectories of centrally symmetric dynamical systems on the plane ⋮ Periodic oscillations and waves in nonlinear weakly coupled dispersive systems ⋮ On the spectra of finite-dimensional quadratic Bose operators

Cites Work

• Normalization of a Hamiltonian system near an invariant cycle or torus
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