Analysis of critical and post-critical behaviour of non-linear dynamical systems by the normal form method, Part I: Normalization formulae

DOI10.1016/0022-460X(83)90387-5zbMath0522.73038MaRDI QIDQ3673224

No author found.

Publication date: 1983

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

zbMATH Keywords

nonlinear dynamical systemsnormal form methodcritical and post-critical behaviourbifurcation conditiondynamical behaviour of system in neighbourhood of nearly critical equilibrium stateexplicit formulae for normalization procedure

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamical systems and ergodic theory (37-XX)

Related Items (3)

Recursive bifurcation formulae for normal form and center manifold theory ⋮ The invariant manifold approach applied to nonlinear dynamics of a rotor-bearing system ⋮ Methods to reduce nonlinear mechanical systems for instability computation

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