Nonlinear Stability Control and $\lambda $-Bifurcation

DOI10.1137/0147078zbMath0627.73059OpenAlexW2070466346MaRDI QIDQ3763682

P. K. Jayakumar, Edward L. Reiss, Jerry F. Magnan, Thomas Erneux

Publication date: 1987

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0147078

zbMATH Keywords

nonlinear stability controlcritical flutter speedsupercriticallybifurcation near double zero eigenvaluebranch of flutter solutionsdamaging effectsdivergence solutionsfluidelastic instabilityinfinite period orbitlambda-bifurcationstructural fatiguesubcritically

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stability of dynamical problems in solid mechanics (74H55) Perturbations of ordinary differential equations (34D10) Local and nonlocal bifurcation theory for dynamical systems (37G99)