Dissertation > Excellent graduate degree dissertation topics show

Analysis and Design of the Nonlinear Chaotic Circuits

Author: WangXiaoYan
Tutor: HuangLiLian
School: Harbin Engineering University
Course: Circuits and Systems
Keywords: Chaos circuit Numerical simulation Dynamic characteristic Circuit simulation EWB Hyperchaotic Chen system
CLC: O415.5
Type: Master's thesis
Year: 2010
Downloads: 352
Quote: 1
Read: Download Dissertation

Abstract


Chaos is a special movement, which appears in the non-linear system. More than 40 years, people always study chaos and obtain many achievements.We must learn to design chaotic circuits before we use chaos, so it is significant for us to analyze and design the chaotic circuits.The relevant knowledge of the chaos was described and the study status of the chaotic circuits was introduced. Then this paper introduces the Chua’s circuit, which is one of the best chaotic circuits because its structure is simple and can show a rich dynamic behavior. Subsequently we design a variant of the Chua’s circuit. We deduce its state equation, analyze its balance points and carry on the simulation to study its dynamic behavior. Finally, the phase diagrams and timing waveforms were obtained and they are consistent with Chua’s circuit, thereby the chaotic characteristics of the circuit were confirmed.The Lorenz system is the first physical and mathematical model of chaos. A new three-order autonomous chaotic system was designed based on the Lorenz system. The new system also belongs to Lorenz system. The nonlinear dynamic properties of the system such as strange attractor, the largest Lyapunov index, fractal dimension, spectrum, power spectrum and bifurcation are researched via theoretical analysis and digital simulation. EWB software is used to design and simulate the circuit. Finally the chaotic characteristics of the system are confirmed.We can design a simple feedback allows a Lorenz system from non-chaotic state turn into chaotic state, base on this principle the Chen system was discovered. A new Hyperchaos Chen system was designed based on Chen system. It has four parameters, four variables and two nonlinear terms. Firstly, the theoretical analysis to this system was carried on, and then the numerical simulation in Matlab was completed, finally the circuit diagram was drawn based on the equation and the circuit simulation was carried on through selecting the appropriate circuit parameters.The experimental results are consistent with the numerical simulation results, so the feasibility of the design method was confirmed from the perspective of circuit simulation.

Related Dissertations

  1. Study on Springback of High-Strength Steel Stamping,TG386
  2. Numerical Simulation and Experiment on Hydroforming of Cups with Controllable Radial Pressure,TG386
  3. Research on Technology and Mechanism of Joining Cemented Carbide to Carbon Steel,TG454
  4. Numerical Simulation of Film Cooling in Turbine Cascade with Non-Axisymmetric Endwall Method,V231.3
  5. High Speed Aerodynamic Convection and Coupled Heat Transfer of Complicated Bodies,V215.4
  6. The Analysis on Characteris of Vibration Source about Vertical Vibration of Surrounding Environment Induced by Rail Transit,U211.3
  7. Study on the Heat Transfer Characteristics of Particle Cluster in Circulating Fluidized Bed,TK124
  8. Numerical Simulation of SNCR Process of a 600MW Utility Boiler,TK222
  9. Numerical Simulation of Biomass Direct Reburning,TK16
  10. Numerical Simulation on Pulverized Coal Combustion Process in a 670T/H Tangential Firing Furnace,TK224.11
  11. Numerical Simulation on the Combustion Process in the Furnace of a 1000MW Lignite-Fired USC Boiler,TK224.11
  12. Study on Gas-Solid Two-Phase Flow in Spouted Beds,TK173
  13. Experimental Study and Numerical Simulation on Aerodynamic Field of Tangential Bias Swirl Burner,TK223.23
  14. Characteristic Study of Combustion in Central Reverse Flame Chamber,TK223.21
  15. On the Simulant Research of the Pneumatic Cleaning Mechanism of Mini-combine Harvester,S225.3
  16. Stress distribution law FLAC 3D simulation study,TU452
  17. The Value Simulation of the Filtration Process by Fiber Filter Materials,TB34
  18. Nonlinear Structural Dynamics Analysis of Naval Gun Extractor Systems,TJ391
  19. Analysis of Shovel Welding Residual Stress Based on Finite Element Method,TG404
  20. Research of Deep Excavation Construction Process for Nearby Subway Section Action,TU753
  21. Stability Analysis for Deep Excavation Projects of the MTR Stations During the Construction Process,U231.3

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