Supercritical as well as subcritical Hopf bifurcation in nonlinear flutter systems

DOI10.1007/s10483-008-0207-xzbMath1231.37038OpenAlexW2063625518MaRDI QIDQ940548

Yan-Mao Chen, Ji-Ke Liu

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-008-0207-x

zbMATH Keywords

limit cycle oscillationnonlinear flutterHopf bifurcationsupercriticalsubcritical

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (10)

Dynamic analysis of two-degree-of-freedom airfoil with freeplay and cubic nonlinearities in supersonic flow ⋮ Stability and bifurcation for limit cycle oscillations of an airfoil with external store ⋮ Bifurcations and stability analysis for nonlinear oscillations of an airfoil ⋮ Bifurcation and chaos of an airfoil with cubic nonlinearity in incompressible flow ⋮ Eigenvalue analysis for predicting the onset of multiple subcritical limit cycles of an airfoil with a control surface ⋮ Limit cycle oscillation suppression of 2-DOF airfoil using nonlinear energy sink ⋮ Snaking bifurcations in a self-excited oscillator chain with cyclic symmetry ⋮ Bifurcation analysis of aeroelastic systems with hysteresis by incremental harmonic balance method ⋮ Hopf bifurcation analysis of a predator-prey model with Holling-II type functional response and a prey refuge ⋮ Quasi-Periodic Motion and Hopf Bifurcation of a Two-Dimensional Aeroelastic Airfoil System in Supersonic Flow

Cites Work

• Bifurcation in two-dimensional neural network model with delay
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Bifurcation analysis of a double pendulum with internal resonance
• Incremental harmonic balance method for airfoil flutter with multiple strong nonlinearities
• The secondary bifurcation of an aeroelastic airfoil motion: effect of high harmonics
• Structural non-linearities and the nature of the classic flutter instability
• APPLICATION OF THE CENTRE MANIFOLD THEORY IN NON-LINEAR AEROELASTICITY
• Bifurcation analysis of airfoils in incompressible flow
• COMPLEX NORMAL FORM FOR STRONGLY NON-LINEAR VIBRATION SYSTEMS EXEMPLIFIED BY DUFFING–VAN DER POL EQUATION
• A new approach for the computation of Hopf bifurcation points

This page was built for publication: Supercritical as well as subcritical Hopf bifurcation in nonlinear flutter systems