Stochastic bifurcation and density function analysis of a stochastic logistic equation with distributed delay and weak kernel

2022 ◽  
Author(s):  
Xiaofeng Zhang ◽  
Rong Yuan
Keyword(s):  
Density Function ◽  
Function Analysis ◽  
Distributed Delay ◽  
Logistic Equation ◽  
Stochastic Bifurcation

Characterization of pressure fluctuations from a gas–solid fluidized bed by structure density function analysis

2015 ◽  
Vol 129 ◽  
pp. 156-167 ◽  
Author(s):  
Yumin Chen ◽  
C. Jim Lim ◽  
John R. Grace ◽  
Junying Zhang ◽  
Yongchun Zhao ◽  
...  
Keyword(s):  
Density Function ◽  
Fluidized Bed ◽  
Function Analysis ◽  
Pressure Fluctuations ◽  
Structure Density

Nonlinear Dynamic Characteristics of Giant Magnetostrictive Nanofilm-SMA Composite Beam in Axial Stochastic Excitation

2013 ◽  
Vol 284-287 ◽  
pp. 173-177
Author(s):  
Zhi Wen Zhu ◽  
Wei Guo ◽  
Jia Xu
Keyword(s):  
Probability Density Function ◽  
Probability Density ◽  
Density Function ◽  
Dynamic Characteristics ◽  
Nonlinear Dynamic ◽  
Composite Beam ◽  
Stochastic Bifurcation ◽  
Hysteresis Phenomenon ◽  
Stochastic Excitation ◽  
Nonlinear Dynamic Characteristics

In this paper, nonlinear dynamic characteristics of giant magnetostructive nanofilm-shape memory alloy (SMA) composite beam in axial stochastic excitation were studied. Von del Pol nonlinear difference item was introduced to interpret the hysteresis phenomenon of the strain-stress curve of SMA, and the hysteretic nonlinear dynamic model of giant magnetostructive nanofilm-SMA composite beam in axial stochastic excitation was developed. The steady-state probability density function and the joint probability density function of the system were obtained in quasi-nonintegrable Hamiltonian system theory. The result of simulation shows that the stability of the trivial solution varies with bifurcation parameter, and stochastic Hopf bifurcation appears in the process. The result is helpful to stochastic bifurcation control to giant magnetostructive nanofilm-SMA composite beam.

Density function analysis of single polymer chain

2007 ◽  
Vol 32 (4) ◽  
pp. 1250-1257
Author(s):  
Hisataka Kato ◽  
Miki Wadati
Keyword(s):  
Density Function ◽  
Polymer Chain ◽  
Function Analysis ◽  
Single Polymer Chain
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