scholarly journals A Chaotic Oscillator Based on Meminductor, Memcapacitor, and Memristor

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-16
Author(s):  
Xingce Liu ◽  
Xiuguo Bi ◽  
Huizhen Yan ◽  
Jun Mou
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
State Transition ◽  
State Equation ◽  
Chaotic Oscillator ◽  
Hyperchaotic System ◽  
Analysis Method ◽  
Numerical Simulation Result ◽  
Dynamical Characteristics ◽  
The Stability

In this paper, a hyperchaotic circuit consisting of a series memristor, meminductor, and memcapacitor is proposed. The dimensionless mathematical model of the system is established by the state equation of the circuit. The stability of equilibrium point of the system is analyzed by using the traditional dynamic analysis method. Then, the dynamical characteristics of the chaotic system with parameters are analyzed in detail. In addition, the system also has some particular phenomena such as attractor coexistence and state transition. Finally, the circuit is realized by DSP, and the result is consistent with that of numerical simulation. This proves the accuracy of the theoretical analysis. Numerical simulation result shows which hyperchaotic system has very abundant dynamical characteristics.

scholarly journals Insulated Cable Temperature Calculation and Numerical Simulation

2018 ◽  
Vol 175 ◽  
pp. 03014
Author(s):  
Xin-jian Li ◽  
Jun Yang ◽  
Bing-qiang Yan ◽  
Xiao Zheng
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Spontaneous Combustion ◽  
Practical Significance ◽  
Constant Current ◽  
Sectional Area ◽  
Analysis Method ◽  
Insulation Layer ◽  
Insulating Layer ◽  
Temperature Calculation

A mathematical model of electrified insulated cable was established to calculate temperature of insulating layer. The insulating layer temperature is determined as a function of the current intensity, time, insulation layer thickness, etc. A widely used polyvinyl chloride (PVC) cable with sectional area of 4 mm2 was selected as example and its insulating layer temperature was simulated using ANSYS. The simulation revealed the evolution of insulating layer temperature with time, and also along radius after a certain time when the cable was applied with 40A and 60A constant current respectively. The analysis method has practical significance to prevent electrical fire and can be applied to analyze spontaneous combustion accident of insulated cable.

scholarly journals A Mathematical Modelling of The Dynamics of Voters Model of Two Political Fanaticism Figures with The Interaction Between Voters in Indonesian Presidential Elections

2021 ◽  
Vol 2123 (1) ◽  
pp. 012006
Author(s):  
B. Yong
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Mathematical Modelling ◽  
Presidential Elections ◽  
Dynamical Analysis ◽  
Equilibrium Solutions ◽  
Presidential Candidates ◽  
The Difference ◽  
The Stability ◽  
Political Figure

Abstract In this study, we present a dynamical analysis of the NS1S2A mathematical model that describe votes movement of voters in presidential elections. The NS1S2A deterministic voters model of two political fanaticism figures is described by ordinary differential equations. We considering the interaction between voters in the supportive voters compartment. We investigate the existence and the stability of four equilibrium solutions; free of supportive voters, supportive voters to first political figure, supportive voters to second political figure, and supportive voters to all political figures. Then we demonstrate this model by estimating the number of votes of two presidential candidates in Indonesian presidential elections. A numerical simulation is given to verify our analytical results. The result shows that the difference in the number of votes between the model with the interaction between voters and survey conducted by Litbang KOMPAS is smaller than the model without the interaction between voters.

Fuzzy Parameter Based Mathematical Model on Forest Biomass

2018 ◽  
Vol 13 (04) ◽  
pp. 179-193 ◽  
Author(s):  
Prabir Panja
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Time Delay ◽  
Human Population ◽  
Equilibrium Points ◽  
Forest Biomass ◽  
Simulation Results ◽  
The Stability ◽  
Fuzzy Parameter

In this paper, a fuzzy mathematical model has been developed by considering forest biomass, human population and technological effort for the conservation of forest biomass as separate compartments. We have assumed that the forest biomass and human population grows logistically. We have considered that forest biomass decreases due to industrialization, food, shelter, etc., for humans. For the conservation of forest biomass, some modern technological efforts have been used in this model. Also, time delay of use of modern technological effort for the conservation of forest biomass has been considered on forest biomass. According to the assumptions, a fuzzy mathematical model on forest biomass is formulated. Next we have determined different possible equilibrium points. Also, the stability of our proposed system around these equilibrium points has been discussed. Finally, some numerical simulation results have been presented for better understanding of our proposed mathematical model.

scholarly journals Numerical simulation of slope stability of the abandoned dreg site

2021 ◽  
Vol 233 ◽  
pp. 01062
Author(s):  
Xiao Wang ◽  
Zhigang Deng ◽  
Dong Ni ◽  
Dong Zhang ◽  
Jing Zhao
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Slope Stability ◽  
Rainfall Infiltration ◽  
Seepage Field ◽  
Stability Coefficient ◽  
Safety Coefficient ◽  
Rainfall Process ◽  
The Stability

A mathematical model of No. 1 abandoned dreg site of the newly-built highway from Xiangle village, Pingyao County to Hougou village, Qinyuan County was developed using GeoStudio software. The stability of the abandoned dreg site was simulated and analyzed under rainstorm. As a result, the influence of rainfall infiltration on slope seepage field is not limited to the rainfall process. The slope stability coefficient decreases significantly during the rainfall and the decreases slightly after the rainfall stopped due to continuous rainwater seepage. The minimum safety coefficient is 2.292 at 24h, greater than the allowable value, which demonstrates that the slope is stable.

Safety Analysis of the Temporary Dam Body of Concrete Faced Rockfill Dam during Construction Period

2011 ◽  
Vol 255-260 ◽  
pp. 3676-3681 ◽  
Author(s):  
Xiao Chun Lu ◽  
Bin Tian ◽  
Suo Zhang
Keyword(s):  
Numerical Simulation ◽  
Flood Control ◽  
Analysis Method ◽  
Nonlinear Fem ◽  
Seepage Field ◽  
Construction Period ◽  
Rockfill Dam ◽  
Practical Project ◽  
The Stability ◽  
Effective Analysis

Concrete faced Rockfill dam (CFRD) is a safe and economical dam type in hydraulic engineering. The temporary dam body for flood control during construction period is usually used for CFRD, so the safety of temporary dam body during construction period is very important. Based on numerical simulation of the seepage field of the temporary dam body of CFRD using nonlinear FEM (Finite Element Method) under the action of flood of the river during construction period, the stability of the dam slope is studied. The effectiveness and applicability of the method introduced is certified through computation in the study on the practical project. The paper provides an effective analysis method for the study on the stability of dam slope of the temporary dam body of CFRD for flood control during construction period.

Hybrid Projective Synchronization of a New Hyperchaotic System

2010 ◽  
Vol 42 ◽  
pp. 63-67
Author(s):  
Jie Fang ◽  
Xiao Ming Zhang ◽  
Chang Sheng Jiang
Keyword(s):  
Numerical Simulation ◽  
Chaos Synchronization ◽  
Projective Synchronization ◽  
Practical Significance ◽  
Hyperchaotic System ◽  
Complete Synchronization ◽  
Full State ◽  
Hybrid Projective Synchronization ◽  
The Stability ◽  
New Hyperchaotic System

The full state hybrid projective synchronization, which includes complete synchronization, anti-synchronization and projective synchronization as its special item, is a novel type of chaos synchronization, so the research in this area has high practical significance. This paper is involved with full state hybrid projective synchronization of a new hyperchaotic system. Based on the stability criterion of linear system, full state hybrid projective synchronization is achieved by appropriate linear separation. Numerical simulation is presented to demonstrate the effectiveness of the proposed method.

Hopf Bifurcation Analysis for a Novel Hyperchaotic System

2012 ◽  
Vol 8 (1) ◽  
Author(s):  
Kejun Zhuang
Keyword(s):  
Numerical Simulation ◽  
Hopf Bifurcation ◽  
Normal Form ◽  
Local Stability ◽  
Center Manifold ◽  
Hyperchaotic System ◽  
Normal Form Theory ◽  
Center Manifold Theorem ◽  
Form Theory ◽  
The Stability

The paper mainly focuses on a novel hyperchaotic system. The local stability of equilibrium is analyzed and existence of Hopf bifurcation is established. Moreover, formulas for determining the stability and direction of bifurcating periodic solutions are derived by center manifold theorem and normal form theory. Finally, numerical simulation is given to illustrate the theoretical analysis.

A Hoek–Brown Criterion Based Reliability Analysis Method for Slope Stability and its Application

2011 ◽  
Vol 368-373 ◽  
pp. 2828-2834
Author(s):  
Xing Zheng ◽  
Wen Xi Fu
Keyword(s):  
Slope Stability ◽  
Reliability Analysis ◽  
Factor Of Safety ◽  
Limit State ◽  
State Equation ◽  
Fast Method ◽  
Cut Slope ◽  
Analysis Method ◽  
The Stability ◽  
Calculation Procedures

The reliability analysis in this paper is implemented directly starting from the basic variables of the HoekBrown criterion. A limit state equation, in which the basic variables of the HoekBrown criterion are contained, is built by introducing the factor of safety of slope. The calculation procedures of three methods used in the reliability analysis of this paper are analyzed in detail. The stability analysis for a cut slope shows that the reliability results obtained by three methods have little differences. This paper also suggests a simple and fast method for estimating the reliability of slope stability.

Modeling and Simulation of Standard II Missiles Intercepting a Low Target

2013 ◽  
Vol 846-847 ◽  
pp. 1505-1508 ◽  
Author(s):  
Jie Chen ◽  
Shi Gai Li ◽  
Jun Wei Lei
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Computer Program ◽  
Modeling And Simulation ◽  
Missile Defense ◽  
Numerical Simulation Result ◽  
Guidance Law ◽  
Control Equation ◽  
The Mathematical Model

Based on linear simplification method, the mathematical model of standard II missile and target is built. The command control equation and guidance law are introduced to compute the trajectory of standard II missile and targets. The interception of low flying target with standard II missile is modeled and simulated with computer program. It studied different situations that the velocity and height of target varies. The numerical simulation result is proposed and analyzed, which is meaningful for the research of anti-missile defense.

Numerical Simulation of Fractured Rock Slope with Shear-Slip Behavior

2014 ◽  
Vol 548-549 ◽  
pp. 673-677
Author(s):  
Qin Gao ◽  
Gui He Wang
Keyword(s):  
Numerical Simulation ◽  
Rock Slope ◽  
Pore Water Pressure ◽  
Fractured Rock ◽  
Water Pressure ◽  
Analysis Method ◽  
Element Simulation ◽  
Slip Planes ◽  
Shear Slip ◽  
The Stability

The development of shear-slip cracks and motion trend of fracture water were presented for discussing the shear-slip behavior and analyzing the stability of fractured rock slope under hydraulic action. Seepage behavior of epigenetic cracks and the positions of slip or collapse were also investigated by monitoring pore water pressure using DEM. The analysis method of discrete element simulation for fractured rock slope was proposed. The results of numerical simulation indicated that interpenetrating fractures are more likely to be slip planes.

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