The behavior of bifurcation and chaos in a forced oscillator containing a square nonlinear term was investigated by using Mel'nikov method and digital computer simulations. It was show that the system blows up for...The behavior of bifurcation and chaos in a forced oscillator containing a square nonlinear term was investigated by using Mel'nikov method and digital computer simulations. It was show that the system blows up for low damping before the motion develops into chaotic one when frequency is locked. The routes which lead to chaos are different for different frequency. After the parameters cross chaotic zone, the response of the system are also different. The three cases all depend on the values of dumping and frequency.展开更多
Dynamical behavior of nonlinear oscillator under combined parametric and forcing excitation, which includes yon der Pol damping, is very complex. In this paper, Melnikov's method is used to study the heteroclinic ...Dynamical behavior of nonlinear oscillator under combined parametric and forcing excitation, which includes yon der Pol damping, is very complex. In this paper, Melnikov's method is used to study the heteroclinic orbit bifurcations, subharmonic bifurcations and chaos in this system. Smale horseshoes and chaotic motions can occur from odd subharmonic bifurcation of infinite order in this system-far various resonant cases finally the numerical computing method is used to study chaotic motions of this system. The results achieved reveal some new phenomena.展开更多
The explosion process is usually used for satellite releasing during fairing separation. Explosion products are not allowed to be leaked from the detonating tube connecting two parts of the fairing during the fairing ...The explosion process is usually used for satellite releasing during fairing separation. Explosion products are not allowed to be leaked from the detonating tube connecting two parts of the fairing during the fairing separation process. This paper predicts the contamination of the explosion products falling on the satellite surface during fairing separation on the ground and in space in case of the computer simulation by using the theory of explosion gaseous dynamics and the basic theory of aerosol mechanics.展开更多
文摘The behavior of bifurcation and chaos in a forced oscillator containing a square nonlinear term was investigated by using Mel'nikov method and digital computer simulations. It was show that the system blows up for low damping before the motion develops into chaotic one when frequency is locked. The routes which lead to chaos are different for different frequency. After the parameters cross chaotic zone, the response of the system are also different. The three cases all depend on the values of dumping and frequency.
文摘Dynamical behavior of nonlinear oscillator under combined parametric and forcing excitation, which includes yon der Pol damping, is very complex. In this paper, Melnikov's method is used to study the heteroclinic orbit bifurcations, subharmonic bifurcations and chaos in this system. Smale horseshoes and chaotic motions can occur from odd subharmonic bifurcation of infinite order in this system-far various resonant cases finally the numerical computing method is used to study chaotic motions of this system. The results achieved reveal some new phenomena.
文摘The explosion process is usually used for satellite releasing during fairing separation. Explosion products are not allowed to be leaked from the detonating tube connecting two parts of the fairing during the fairing separation process. This paper predicts the contamination of the explosion products falling on the satellite surface during fairing separation on the ground and in space in case of the computer simulation by using the theory of explosion gaseous dynamics and the basic theory of aerosol mechanics.
