scholarly journals PROBLEMS OF STABILITY AND SOLVABILITY IN MATHEMATICAL MODELING OF THE DISTRIBUTION OF AN ELECTROCHEMICAL PROCESS IN A FLOWING THREE-DIMENSIONAL ELECTRODE

Author(s):  
I.G Gvozdeva ◽  
◽  
A.N Koshev ◽  
V.K Varentsov ◽  
V.V Kuzina ◽  
...  
2005 ◽  
Vol 8 ◽  
pp. 803-812 ◽  
Author(s):  
Hao ZHANG ◽  
Hajime NAKAGAWA ◽  
Taisuke ISHIGAKI ◽  
Yasunori MUTO ◽  
Yasuyuki BABA

2021 ◽  
Vol 31 (14) ◽  
Author(s):  
Irina Bashkirtseva ◽  
Tatyana Perevalova ◽  
Lev Ryashko

A problem of the mathematical modeling and analysis of noise-induced transformations of complex oscillatory regimes in hierarchical population systems is considered. As a key example, we use a three-dimensional food chain dynamical model of the interacting prey, predator, and top predator. We perform a comparative study of the impacts of random fluctuations on three key biological parameters of prey growth, predator mortality, and the top predator growth. A detailed investigation of the stochastic excitement, noise-induced transition from order to chaos, and various scenarios of extinction is carried out. Constructive abilities of the semi-analytical method of confidence domains in the analysis of the noise-induced extinction are demonstrated.


2020 ◽  
Vol 11 ◽  
pp. 1568-1576
Author(s):  
Jingran Zhang ◽  
Tianqi Jia ◽  
Xiaoping Li ◽  
Junjie Yang ◽  
Zhengkai Li ◽  
...  

Based on an electrochemical method, three-dimensional arrayed nanopore structures are machined onto a Mg surface. The structured Mg surface is coated with a thin gold (Au) film, which is used as a surface-enhanced Raman scattering (SERS) substrate. A rhodamine 6G (R6G) probe molecule is used as the detection agent for the SERS measurement. Different sizes of arrayed micro/nanostructures are fabricated by different treatment time using the electrochemical process. The topographies of these micro/nanostructures and the thickness of the Au film have an influence on the Raman intensity of the Mg substrate. Furthermore, when the thickness of Au film coating is held constant, the Raman intensity on the structured Mg substrates is about five times higher after a treatment time of 1 min when compared with other treatment times. The SERS enhancement factor ranges from 106 to 1.75 × 107 under these experimental conditions. Additionally, a 10−6 mol·L−1 solution of lysozyme was successfully detected using the Mg–Au nanopore substrates. Our low-cost method is reproducible, homogeneous, and suitable for the fabrication of SERS substrates.


2015 ◽  
Vol 727-728 ◽  
pp. 987-990 ◽  
Author(s):  
Hao Zhong ◽  
Xu Chen ◽  
Wen Qian Shu ◽  
Xiao Dong Chen

In order to make training for the substation operation and maintenance personnel professional skills more effectivethis paper has designed a three-dimensional substation simulation training system based on Unity3d.In this paper,a variety of virtual scenes of the substation are studied,designed a 3Dsimulation training system of substation based on operation and maintenance personnel behavior. Framework of system comprises two-dimensional mathematical modeling, 3D modeling, development and release of platform.


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