The phenomena of bifurcation,chaos and hysteresis of electrodynamic cone loudspeaker have been investegated experimentally in mid-frequency range.The frequency spectrum,as well as the phase diagram in frequency-voltag...The phenomena of bifurcation,chaos and hysteresis of electrodynamic cone loudspeaker have been investegated experimentally in mid-frequency range.The frequency spectrum,as well as the phase diagram in frequency-voltage phane,of bifurcation and chaos is given.The hysteresis phenomenon is observed clearly from frequency response curve.展开更多
Lyapunov exponents,Lyapunov dimension and general dimensions have been determined from a time series of electrodynamic cone loudspeaker.It is found that a low-dimensional chaotic at tractor has one positive largest ex...Lyapunov exponents,Lyapunov dimension and general dimensions have been determined from a time series of electrodynamic cone loudspeaker.It is found that a low-dimensional chaotic at tractor has one positive largest exponent,and the Lyapunov dimension is in concordance with the Hausdorff dimension which calculated by general correlation integrated method.展开更多
Theory of controlling instability based on the Lyapunov stability and the criterion of convergence for selecting the control stiffnessεand the magnitude of deviation in one dimensional nonlinear systems with adaptive...Theory of controlling instability based on the Lyapunov stability and the criterion of convergence for selecting the control stiffnessεand the magnitude of deviation in one dimensional nonlinear systems with adaptive method have been given.This method can be applied not only to chaotic attractor but also to the situation of bifurcations,and it is simple,reliable,efficient,and easy of automatic control.展开更多
The bifurcation and chaos of an 8"cone loudspeaker from its radiation in axial direction have been investigated by adopting an experimental setup quite similar to that of measuring frequency response in an anecho...The bifurcation and chaos of an 8"cone loudspeaker from its radiation in axial direction have been investigated by adopting an experimental setup quite similar to that of measuring frequency response in an anechois room.Experiments show that lower order and more fractional subharmonics of the fed-in signal begin to appear with increasing input voltage and eventually a chaotic state is reached.展开更多
The period-adding phenomena in a two dimensional mapping with three parameters have been discussed.It has been found that the period-doubling bifurcations do not appear.
基金supported in part by the National Science Foundation of China.
文摘The phenomena of bifurcation,chaos and hysteresis of electrodynamic cone loudspeaker have been investegated experimentally in mid-frequency range.The frequency spectrum,as well as the phase diagram in frequency-voltage phane,of bifurcation and chaos is given.The hysteresis phenomenon is observed clearly from frequency response curve.
文摘Lyapunov exponents,Lyapunov dimension and general dimensions have been determined from a time series of electrodynamic cone loudspeaker.It is found that a low-dimensional chaotic at tractor has one positive largest exponent,and the Lyapunov dimension is in concordance with the Hausdorff dimension which calculated by general correlation integrated method.
基金Supported by the National Natural Science Foundation of China.
文摘Theory of controlling instability based on the Lyapunov stability and the criterion of convergence for selecting the control stiffnessεand the magnitude of deviation in one dimensional nonlinear systems with adaptive method have been given.This method can be applied not only to chaotic attractor but also to the situation of bifurcations,and it is simple,reliable,efficient,and easy of automatic control.
文摘The bifurcation and chaos of an 8"cone loudspeaker from its radiation in axial direction have been investigated by adopting an experimental setup quite similar to that of measuring frequency response in an anechois room.Experiments show that lower order and more fractional subharmonics of the fed-in signal begin to appear with increasing input voltage and eventually a chaotic state is reached.
基金the Science Fund of the Chinese Academy of Science.
文摘The period-adding phenomena in a two dimensional mapping with three parameters have been discussed.It has been found that the period-doubling bifurcations do not appear.
