Quasi-Periodic Motion and Hopf Bifurcation of a Two-Dimensional Aeroelastic Airfoil System in Supersonic Flow

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Normal forms for dynamical systems (37G05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Simulation of dynamical systems (37M05) Numerical chaos (65P20) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30)

Cites Work

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Bifurcation and chaos of an airfoil with cubic nonlinearity in incompressible flow
Supercritical and subcritical Hopf bifurcation and limit cycle oscillations of an airfoil with cubic nonlinearity in supersonic\(\backslash\)hypersonic flow
Implications of cubic physical/aerodynamic non-linearities on the character of the flutter instability boundary
Supercritical as well as subcritical Hopf bifurcation in nonlinear flutter systems
Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
On bifurcation into nonresonant quasi-periodic motions
Applications of centre manifold theory
The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
Stability and bifurcation for limit cycle oscillations of an airfoil with external store
Bifurcations and stability analysis for nonlinear oscillations of an airfoil
Equivalent linearization method for the flutter system of an airfoil with multiple nonlinearities
An explicit recursive formula for computing the normal forms associated with semisimple cases
Aeroelastic instability analysis of NES-controlled systems via a mixed multiple scale/harmonic balance method
Chaotic motions of an airfoil with non-linear stiffness in incompressible flow
Multiple Bifurcation Problems of Codimension Two
Bifurcation analysis of airfoils in incompressible flow
The flutter of an airfoil with cubic structural and aerodynamic non-linearities
CLOSED-FORM CONDITIONS OF BIFURCATION POINTS FOR GENERAL DIFFERENTIAL EQUATIONS
Elements of applied bifurcation theory

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