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
The chaotic behaviors of the time series of the breather(soliton)amplitude have been observed experimentally in the shallow water in the trough subjected to parametric exciting vertically.The results predict that the ...The chaotic behaviors of the time series of the breather(soliton)amplitude have been observed experimentally in the shallow water in the trough subjected to parametric exciting vertically.The results predict that the water solitary waves should be described by some chaotic equations in the higher order approximations as well as by the nonlinear Schördinger equation in the first order.展开更多
The solution of bound-state of solitary-waves of a NLS type equation governing the modulational evolution of standing gravity wave in a rectangular fluid-trough is given.The time evolution of this solution exhibits th...The solution of bound-state of solitary-waves of a NLS type equation governing the modulational evolution of standing gravity wave in a rectangular fluid-trough is given.The time evolution of this solution exhibits the FPU recurrence behaviour,which is in good agreement with the phenomenon observed by Wu et al.in a water trough experiment[Phys.Rev.Lett.52(1984)1421].展开更多
Two spherical solitons are vibrating along the direction perpendicular to a line joining the cores of them.The interactive forces that will be attractive or repelling depending on their phase are given.
The attenuation coefficient of the impressed first sound due to the scattering of random background of the second sound is calculated.The result shows that this is an important factor which gives rise the attenuation ...The attenuation coefficient of the impressed first sound due to the scattering of random background of the second sound is calculated.The result shows that this is an important factor which gives rise the attenuation of the first sound in the vicinity of transition temperature T_(λ) at very high frequencies of GHz range.The predicted value agrees with the measured data in order of magnitude.展开更多
Bifurcations and chaos have been observed in surface acoustic waves propagating on the substrate LiNb0_(3).We have discovered the second to sixth subharmonics,uttraharmonics,and the entering of the chaotic state which...Bifurcations and chaos have been observed in surface acoustic waves propagating on the substrate LiNb0_(3).We have discovered the second to sixth subharmonics,uttraharmonics,and the entering of the chaotic state which is manifested by the broadening and splitting of the subharmonic spectral lines.展开更多
Multi-mode and chaotic oscillations have been observed in an acoustic hybrid system with single peak frequency response and time-delay.The envelope of the frequency spectrum,as constrained by the frequency response,is...Multi-mode and chaotic oscillations have been observed in an acoustic hybrid system with single peak frequency response and time-delay.The envelope of the frequency spectrum,as constrained by the frequency response,is comb-shaped.The numerical calculations show approximate agreement with the experimental result.展开更多
The surface loci and motion of solitons along lateral direction and the effects of dimension size or with partition on the waveform have been measured and observed carefully., An approximate solution of surface displa...The surface loci and motion of solitons along lateral direction and the effects of dimension size or with partition on the waveform have been measured and observed carefully., An approximate solution of surface displacement also has been given, which agrees well with the experimental values.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
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 Foundation of Nonlinear Science of P.R.ChinaNingbo Younger Science Foundation in P.R.China.
文摘The chaotic behaviors of the time series of the breather(soliton)amplitude have been observed experimentally in the shallow water in the trough subjected to parametric exciting vertically.The results predict that the water solitary waves should be described by some chaotic equations in the higher order approximations as well as by the nonlinear Schördinger equation in the first order.
文摘The solution of bound-state of solitary-waves of a NLS type equation governing the modulational evolution of standing gravity wave in a rectangular fluid-trough is given.The time evolution of this solution exhibits the FPU recurrence behaviour,which is in good agreement with the phenomenon observed by Wu et al.in a water trough experiment[Phys.Rev.Lett.52(1984)1421].
基金supported partly by the National Science Foundationof China.
文摘Two spherical solitons are vibrating along the direction perpendicular to a line joining the cores of them.The interactive forces that will be attractive or repelling depending on their phase are given.
文摘The attenuation coefficient of the impressed first sound due to the scattering of random background of the second sound is calculated.The result shows that this is an important factor which gives rise the attenuation of the first sound in the vicinity of transition temperature T_(λ) at very high frequencies of GHz range.The predicted value agrees with the measured data in order of magnitude.
文摘Bifurcations and chaos have been observed in surface acoustic waves propagating on the substrate LiNb0_(3).We have discovered the second to sixth subharmonics,uttraharmonics,and the entering of the chaotic state which is manifested by the broadening and splitting of the subharmonic spectral lines.
基金supported by the National Science Foundation of China。
文摘Multi-mode and chaotic oscillations have been observed in an acoustic hybrid system with single peak frequency response and time-delay.The envelope of the frequency spectrum,as constrained by the frequency response,is comb-shaped.The numerical calculations show approximate agreement with the experimental result.
文摘The surface loci and motion of solitons along lateral direction and the effects of dimension size or with partition on the waveform have been measured and observed carefully., An approximate solution of surface displacement also has been given, which agrees well with the experimental values.
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.
