Research on Characteristics of Traffic Flow Three Parameters Based on Cusp Catastrophe Theory

2017 ◽  
Author(s):  
Qiang Luo ◽  
Shubo Wu ◽  
Shuo Zhang
Keyword(s):  
Traffic Flow ◽  
Catastrophe Theory ◽  
Cusp Catastrophe ◽  
Cusp Catastrophe Theory

scholarly journals Research on the Traffic Flow Control of Urban Occasional Congestion Based on Catastrophe Theory

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Yang Xu ◽  
Duo Jia Zhang ◽  
Xin Zhang ◽  
Kin Keung Lai ◽  
Bing Su
Keyword(s):  
Congestion Control ◽  
Traffic Flow ◽  
Catastrophe Theory ◽  
Control Method ◽  
Cusp Catastrophe ◽  
Urban Road ◽  
The Road ◽  
Catastrophe Model ◽  
Cusp Catastrophe Theory ◽  
Road System

Aimed at the problem of occasional congestion control, the cusp catastrophe theory is used to establish the catastrophe model of the urban road system under occasional congestion, finding breakpoints and analyzing stability after urban road system catastrophes by constructing the energetic function; based on the catastrophe characteristics of the urban road system, the feasibility method of congestion control is discussed. The results show that the control method of traffic flow based on catastrophe characteristics of the urban road system can effectively improve the efficiency of the road system in theory. Finally, the applicability of the control method based on catastrophe characteristics is analyzed by examples under different occasional congestion situations.

scholarly journals Traffic Flow Catastrophe Border Identification for Urban High-density Area Based on Cusp Catastrophe Theory: A Case Study under Sudden Fire Disaster

2020 ◽  
Author(s):  
Ciyun Lin ◽  
Yongli Yu ◽  
Dayong Wu ◽  
Bowen Gong
Keyword(s):  
Data Collection ◽  
Traffic Flow ◽  
Catastrophe Theory ◽  
Traffic Congestion ◽  
High Density ◽  
Cusp Catastrophe ◽  
High Density Area ◽  
Density Area ◽  
Fire Disaster ◽  
Cusp Catastrophe Theory

For traffic management under sudden disaster in high-density areas, the first and foremost step is to prevent traffic congestion in the disaster-affected area by traffic flow control, as to provide enough and flexible traffic capacity for emergency evacuation and emergency rescue. Catastrophe border identification is the foundation and the key to traffic congestion prediction under sudden disaster. This paper uses a mathematical model to study the regional traffic flow in the high-density area under sudden fire disaster based on the Cusp Catastrophe Theory (CCT). The catastrophe border is identified by fitting the CCT-based regional traffic flow model to explore the stable traffic flow changing to the instable state, as to provide a theoretical basis for traffic flow manage and control in disaster-affected areas, and to prevent the traffic flow being caught into disorder and congestion. Based on VISSIM simulator data by building simulation scenarios with and without sudden fire disaster in a Sudoku traffic network, the catastrophe border is identified as 439pcu/lane/h, 529pcu/lane/h, 377pcu/lane/h at 5s, 10s, 15s data collection interval respectively. The corresponding relative precision, which compares to the method of Capacity Assessment Approach (CAA), is 89.1%, 92.7% and 76.5% respectively. It means that 10s data collection interval would be the suitable data collection interval in catastrophe border identification and regional traffic flow control in high-density area under sudden fire disaster.

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 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.

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