On stability at the Hamiltonian Hopf bifurcation

DOI10.1134/S1560354709010109zbMath1229.37056MaRDI QIDQ653218

A. P. Markova, Lev M. Lerman

Publication date: 9 January 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

Lyapunov stabilitynormal formelliptic functionsscalingKAM theoryaction-angle variablesHamiltonian Hopf bifurcation

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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