Dissertation > Excellent graduate degree dissertation topics show

Generalized synchronization and phase synchronization Some Issues

Author: LuJing
Tutor: ZhangRong
School: Jiangnan University
Course: Applied Mathematics
Keywords: Chaotic system Generalized synchronization Phase synchronous Column coordinate transformation Amplitude coupling Dynamic Network
CLC: O415.5
Type: Master's thesis
Year: 2010
Downloads: 54
Quote: 0
Read: Download Dissertation

Abstract


Nearly 20 years, nonlinear science has become one of the hot research. It flourished, not only applied mathematics, mechanics and physics to get tremendous progress, but also involves almost all natural sciences, engineering and social sciences fields. And chaos as a major branch of nonlinear science, but has been widely studied and applied, in which chaos synchronization is an important research direction, it is in communication security, medical, ecological and even economic and other fields has emerged as a good application prospects. This paper studies the synchronization of the more common two synchronization - generalized synchronization and phase synchronization. Brief introduction of the origin of chaos, development, and related concepts and some chaos synchronization theory and methods, focusing on the generalized synchronization and phase synchronization of relevant content and progress; introduced in recent years on chaos theory in the development of complex networks and study some of the achievements. Compared to other forms of synchronization, generalized synchronization and phase synchronization presence and more widely, the paper first study the response of the drive to achieve generalized synchronization of chaotic systems required for synchronization and phase relationship between the size of the coupling strength. For phase synchronization of mostly numerical simulation, and people always keep trying with the appropriate number of indicators to describe the phase synchronization, in which were given amplitude coupling systems and complex phase synchronous dynamic networks to measure quantitative indicators, and through simulations were verified; finally full-text summary and outlook for future work. Specifically as follows: (1) by means of auxiliary systems approach, by calculating the average number of rotations of the drive response of chaotic systems to achieve the required generalized synchronization and phase synchronization between the size of the coupling strength. Given Conclusion: Under certain conditions, weaker than the generalized synchronization phase synchronization, phase synchronization is a generalized synchronization. (2) In order to use the appropriate number of indicators to describe the phase synchronization, the definition of complex power system frequency between the order parameter, and use the quantitative indicators of the two systems in amplitude coupling of chaotic phase synchronization. By calculating the average frequency, the complex frequency timing parameters are studied complex frequency synchronization and the correspondence between the order parameter. The results show that the order parameter as a measure of the complex frequency synchronization of a chaotic phase quantitative indicators to be effective. (3) identify appropriate quantitative indicators to describe complex dynamic network synchronization. Defines a dynamic network adjacent network nodes and the network average values ??mean phase locked frequency difference, the more the center of rotation Lorenz chaotic oscillator as a dynamic network node structure. The simulation found that adjacent nodes in the network between two systems with a defined phase synchronous behavior exists between quantitative indicators more accurate correspondence. These studies have made use of Matlab software programming numerical simulation results are in good agreement with the conclusions.

Related Dissertations

  1. Study on Synchronization of Time-delayed Chaotic System and Its Experimental Realized,O415.5
  2. Urban Traffic Intelligent Control Strategy and Simulation System,U495
  3. Several digital chaotic cryptography analysis,O415.5
  4. WiFi-based emergency communications network set up and implementation of audio and video transmission,TN929.5
  5. Dynamic Network Systems Research and Development of Embedded Controller,TP393.06
  6. Chaotic systems based digital image watermarking algorithm,TP309.7
  7. Analysis on Some Image Encryption Algorithms Based on Chaos,TP309.7
  8. Extended Controller Designs on the Synchronization of Different Chaotic Systems,O415.5
  9. Based on Chaotic system's digital Information Encryption Algorithm Research on,TN918.1
  10. Generalized Synchronization of Complex Dynamical Networks,O415.5
  11. Hopf Bifurcation and Generalized Synchronization of the Delayed Coupled Lorenz-Rossler Systems,O157.5
  12. Study on Optimal Control for Chaotic System Based on T-S Fuzzy Model,O232
  13. Research and Realization on Video Watermarking Techniques,TP309.7
  14. The Research of Colour Image Encryption Algorithm Based on Chaotic Theory,TP309.7
  15. The Generalized Synchronization of Continuous System,O415.5
  16. The Research on Theoretical Design andAnalysis Method of Chaotic Cryptography,TN918.1
  17. General Chaos Synchronization and Chaos Synchronization with Complex Network,O157.5
  18. Research on Problems of Synchronization on Chaotic Systems and Complex Networks,O157.5
  19. Mechanism of Synchronization Types and Generalized Synchronization of Coupled Smooth Chaotic Dynamical Systems,O19
  20. Controller Design for Realizing a Class of Chaotic Systems Synchronization,TP13

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