scholarly journals Spiking Neural Network Based on Cusp Catastrophe Theory

2019 ◽  
Vol 44 (3) ◽  
pp. 273-284
Author(s):  
Damian Huderek ◽  
Szymon Szczęsny ◽  
Raul Rato
Keyword(s):  
Catastrophe Theory ◽  
Hardware Implementation ◽  
Research Direction ◽  
Spiking Neurons ◽  
Cusp Catastrophe ◽  
Spiking Neural Network ◽  
Practical Applications ◽  
Processing Mode ◽  
Nanometer Cmos ◽  
Cusp Catastrophe Theory

Abstract This paper addresses the problem of effective processing using third generation neural networks. The article features two new models of spiking neurons based on the cusp catastrophe theory. The effectiveness of the models is demonstrated with an example of a network composed of three neurons solving the problem of linear inseparability of the XOR function. The proposed solutions are dedicated to hardware implementation using the Edge computing strategy. The paper presents simulation results and outlines further research direction in the field of practical applications and implementations using nanometer CMOS technologies and the current processing mode.

A novel index based on the cusp catastrophe theory for predicting harmful algae blooms

2019 ◽  
Vol 102 ◽  
pp. 746-751 ◽  
Author(s):  
Yimei Tian ◽  
Bo Zheng ◽  
Hailiang Shen ◽  
Shengnan Zhang ◽  
Yaru Wang
Keyword(s):  
Catastrophe Theory ◽  
Harmful Algae ◽  
Cusp Catastrophe ◽  
Harmful Algae Blooms ◽  
Algae Blooms ◽  
Cusp Catastrophe Theory

Speculation and Inflation in the Market for House-Building Land in England and Wales

1980 ◽  
Vol 12 (10) ◽  
pp. 1119-1130 ◽  
Author(s):  
G Hyman ◽  
S Markowski
Keyword(s):  
Catastrophe Theory ◽  
Cusp Catastrophe ◽  
England And Wales ◽  
Credit Availability ◽  
Private House ◽  
Econometric Tests ◽  
1960S And 1970S ◽  
The 1960S ◽  
Cusp Catastrophe Theory ◽  
House Building

This paper reports the results of an investigation into the behaviour of the market for private house-building land in England and Wales in the 1960s and 1970s. After Zeeman (1974), a distinction is drawn between the speculative and fundamental market operators, and econometric tests were carried out to identify their impact on land price changes. The property boom 1971–1973 and its collapse are discussed in the context of Zeeman's cusp catastrophe theory. Results of econometric experiments show that the interpretation of these events in terms of catastrophic switches is not entirely satisfactory, but that changes in money supply and credit availability may be more likely causes of the boom.

scholarly journals Determination of Intervening Pillar Thickness Based on the Cusp Catastrophe Model

2019 ◽  
Vol 2019 ◽  
pp. 1-11 ◽  
Author(s):  
Shaowei Ma ◽  
Zhouquan Luo ◽  
Jianhua Hu ◽  
Qifan Ren ◽  
Yaguang Qin ◽  
...  
Keyword(s):  
Catastrophe Theory ◽  
Plate Theory ◽  
Sufficient Conditions ◽  
Cusp Catastrophe ◽  
Minimum Thickness ◽  
Lead Zinc ◽  
Zinc Mine ◽  
The Stability ◽  
Necessary And Sufficient ◽  
Cusp Catastrophe Theory

For the stability of the intervening pillar of the sublevel drilling open-stope subsequent filling mining method, the multifactor stability mechanical model of the intervening pillar under two different constraint conditions (Model 1 and Model 2) was established based on the elastic thin plate theory. Then, the cusp catastrophe equation and the necessary and sufficient conditions for the instability of the intervening pillar under two different constraint conditions were obtained by using the cusp catastrophe theory. Furthermore, the minimum thickness formula for the intervening pillar without instability under two different constraint conditions was derived, and the relationships between the minimum thickness of the intervening pillar and the factors, including the depth of the stope, the inclination of the orebody, the thickness of the orebody, the height of the stage, the length of the stope, and the mechanical properties of the orebody, were analyzed. Finally, the formula was used in the design of an intervening pillar between stopes 4-1 and 4-2 in Panlong Lead-Zinc Mine. The designed thickness of the pillar was 6.01 m by calculation, its actual thickness was 6.35–7.25 m in the mining process, and its average thickness was 6.5 m. Compared with the previously designed thickness of 7-8 m at the same stage, the pillar was 0.5–1.5 m smaller, which more effectively improved the recovery rate of the ore under the premise of ensuring the stability of the intervening pillar. This example of industrial application proves that it is feasible to use the cusp catastrophe theory to analyze the stability and parameter design of the intervening pillar under different constraints.

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