Dissertation > Excellent graduate degree dissertation topics show

Synchronization Analysis for a Kind of Modified Chaotic Finance Systems

Author: YangMingZheng
Tutor: CaiGuoLiang
School: Jiangsu University
Course: Applied Mathematics
Keywords: Chaos Synchronous control Financial chaotic system Simulation
CLC: O415.5
Type: Master's thesis
Year: 2010
Downloads: 85
Quote: 1
Read: Download Dissertation

Abstract


Financial system is composed of a large number of elements, open, far from equilibrium, the extremely complex nonlinear system with the changes of various parameters in this nonlinear system, the state of motion of the system due to the instability rather chaotic state is a fairly common phenomenon., synchronous development of the financial system is a real problem faced by many economists. brief introduction to the papers on chaos synchronization control problem, the existing synchronization control based on the, do follows some of the innovative work: (1) on the basis of a class of chaotic financial system, through the analysis of the type of economic model found that such economic models can not be real, accurately reflect the economic changes in the law, in order to better reflect the economic changes in the law, which improved chaotic financial system, a part of the state variables as chaotic systems global index of the transmitted signal synchronization method for this type of improved financial chaos system the drive system divided into two different parts. and response system error system stability theory of the application of differential equations to analyze the system the synchronization required conditions by local exponential stability of the overall index, and verify the effectiveness of this method by numerical simulation; then proposed a chaotic synchronization method based on the globally exponentially attractive set, the introduction of the definition of globally exponentially attractive set for this chaotic financial system improved its dual delay chaotic synchronization carried out research, numerical simulation the effectiveness of this method. (2) Routh-Hurwitz criterion and Lyapunov stability theory for a class of chaotic systems to improve the financial controller effectively, through the design of its parameters, parameter uncertainty case function projective synchronized studied parameters determined using the matrix equation proposed a hybrid feedback control synchronization method, a special matrix structure-based feedback control synchronization method using matrix; case of parameter uncertainty, The equation proposed a dynamic feedback control synchronization method. innovation of several methods that do not have to construct the complex Lyapunov function, but the drive system and the response system synchronization control problem is transformed into the error system gradually in origin nearly stability problems. thesis analyze the feasibility of this approach, in theory, simulation analysis by numerical experiments, all the results proved the effectiveness of several methods.

Related Dissertations

  1. The Setting Bases of Working Pressure in LNG Systems and Orthogonal Experiment Design of Heat Exchangers,TQ051.5
  2. Study of Interaction between Epoxy Molecules and Carbon Fiber Surface with Molecular Simulation,TB332
  3. Research on Mechanism Analysis and Modeling Simulation of Horizontal Well Tractor,P631.83
  4. Study on Springback of High-Strength Steel Stamping,TG386
  5. Numerical Simulation and Experiment on Hydroforming of Cups with Controllable Radial Pressure,TG386
  6. Research on Technology and Mechanism of Joining Cemented Carbide to Carbon Steel,TG454
  7. The Brake Performance of Hydraulic Retarder and Simualtion Research on Its Application for Aircraft Arrestment,TH137.331
  8. Satellite Attitude Determination Based on Gyro and Star Sensor,V448.2
  9. Numerical Simulation of Film Cooling in Turbine Cascade with Non-Axisymmetric Endwall Method,V231.3
  10. Research on Orbital Control Method for Space Rendezvous and Docking,V526
  11. High Speed Aerodynamic Convection and Coupled Heat Transfer of Complicated Bodies,V215.4
  12. The Analysis on Characteris of Vibration Source about Vertical Vibration of Surrounding Environment Induced by Rail Transit,U211.3
  13. Single Neuron PID Control for Electro-Hydraulic Servo Unit of Ship Rudder,U666.152
  14. Simulation Analysis on Temperature Stress of RCC Arch Dam and Its Construction Joints Design Research,TV642.2
  15. Study on the Heat Transfer Characteristics of Particle Cluster in Circulating Fluidized Bed,TK124
  16. Numerical Simulation of SNCR Process of a 600MW Utility Boiler,TK222
  17. Numerical Simulation of Biomass Direct Reburning,TK16
  18. Numerical Simulation on Pulverized Coal Combustion Process in a 670T/H Tangential Firing Furnace,TK224.11
  19. Numerical Simulation on the Combustion Process in the Furnace of a 1000MW Lignite-Fired USC Boiler,TK224.11
  20. Study on Gas-Solid Two-Phase Flow in Spouted Beds,TK173
  21. Experimental Study and Numerical Simulation on Aerodynamic Field of Tangential Bias Swirl Burner,TK223.23

CLC: > Mathematical sciences and chemical > Physics > Theoretical Physics > Nonlinear physics > Chaos Theory
© 2012 www.DissertationTopic.Net  Mobile