Dowell, "Limit cycle oscillations of two-dimensional panels in low subsonic flow," International Journal of Non-Linear Mechanics, vol.
Dowell, "Power extraction from aeroelastic limit cycle oscillations," Journal of Fluids and Structures, vol.
Cooper, "Limit cycle oscillation prediction for aeroelastic systems with discrete bilinear stiffness," International Journal of Applied Mathematics and Mechanics, vol.
Kurdila, "Identification and control of limit cycle oscillations in aeroelastic systems," Journal of Guidance, Control, and Dynamics, vol.
Thus, the describing function analysis predicts that an increase in controller gain will increase the frequency of limit cycle oscillation and conversely a reduction in the gain will reduce the frequency of limit cycle oscillation.
Stiction in one control valve may generate limit cycle oscillations that can easily propagate to other loops in adjacent units.
Beran, "Polynomial chaos expansion applied to airfoil limit cycle oscillations
," in Proceedings of the 45thA- IAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, AIAA Paper 2004-1691, Palm Springs, Calif, USA, 2004.
The voltage (dashed) and slow variable (dotted) nullclines show a fixed point that leads to large amplitude, stable, limit cycle oscillations
. The 20, equally spaced, solid dots along the limit cycle suggest that the figurative point moves at different speeds through the phase space.
Liu, "Calculation of the bounds on limit cycle oscillations for nonlinear aeroelastic systems based on equivalent linearization," Science China Technological Sciences, vol.
Liu, "Homotopy analysis method for limit cycle oscillations of an airfoil with cubic nonlinearities," Journal of Vibration and Control, vol.
By using XPPAUT, we identify the ranges of the parameter, a, over which the system exhibits limit cycle oscillations
, birhythmicity, hard excitation, and so forth, by locating the bifurcations point at which corresponding dynamics appear and disappear.
Beran, "Wiener-Haar expansion of airfoil limit cycle oscillations
," AIAA 2005-1985, 2005.