Stability of nonlinear normal modes of symmetric Hamiltonian systems

DOI10.1088/0951-7715/3/3/010zbMath0703.58019OpenAlexW2076233615MaRDI QIDQ3482578

Roberts, Mark, James A. Montaldi, I. N. Stewart

Publication date: 1990

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://www.research.manchester.ac.uk/portal/en/publications/stability-of-nonlinear-normal-modes-of-symmetric-hamiltonian-systems(83c9e856-9091-4a89-9895-b56d74eea9ef).html

zbMATH Keywords

Birkhoff normal formsingularityHamiltonian systemspectral stabilitynonlinear normal mode

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability theory for smooth dynamical systems (37C75) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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