Dissertation > Excellent graduate degree dissertation topics show

Hopf bifurcation and chaos control of a class with Delay Lotka-Volterra system

Author: XuXueJiao
Tutor: LinZuoPing
School: Kunming University of Science and Technology
Course: Applied Mathematics
Keywords: biological systems Hopf bifurcation chaos time-delayed feedback control
CLC: O175
Type: Master's thesis
Year: 2009
Downloads: 25
Quote: 0
Read: Download Dissertation

Abstract


In the recent several decades, the bifurcation theory was applied in the biological systems more and more frequently, especially the Hopf bifurcation theory and Hassard theory, which is very important to ascertain whether a certain biological system with delay has periodic orbit and how to determine the stability and the direction of the bifurcation periodic solution.In this paper, a Lotka-Volterra system with time delay is studied by using the theory of functional equation and Hopf bifurcation, the condition on which positive equilibrium exists and the quality of Hopf bifurcation are given. Finally, we give sev-eral numerical simulations, which indicate that when the delay passes through certain critical values, chaotic oscillation is converted into a stable state or a stable periodic orbit.

Related Dissertations

  1. Research on synchronization control of chaotic systems,O415.5
  2. The Research of Chaos M-ary Modulation and Demodulation Method Based on Chaotic Oscillator,TN915.05
  3. With Delay fishing items and based on the ratio of prey - predator model,O175
  4. Differences of mathematics, dissipative structures and chaos in the system \,O415.5
  5. Study on Synchronization of Time-delayed Chaotic System and Its Experimental Realized,O415.5
  6. The Comprehensive Optimization of Hydrodynamic Performance and Structural Characteristics for a High-speed Ship,U661.3
  7. A Research on Optical Chaotic Secure Communication System Based on Optisystem,O415.5
  8. Two Algorithms for Image Processing Based on Chaos and Fractal,TP391.41
  9. An Improved Method for Short-term Load Forecasting Based on FFT and Chaos,TM715
  10. Dual flexible structural beam collision bifurcation motion and control,TB122
  11. A class of Epidemic Model with Age Structure Qualitative Analysis,O175
  12. Based on artificial fish swarm algorithm Differential Games Lanchester Equation Research,O225
  13. Several typical fractional order hyperchaotic system synchronization control,O231
  14. Synchronization of chaotic systems,O415.5
  15. Register-based chaotic secure communication and Noise Analysis,TN918
  16. Chaotic secure communication system modulation and optical fiber channel performance study,TN918.8
  17. CSK coherent technology based digital communication systems analysis,TN918.6
  18. The Qualitative Analysis of a Fast-Slow Predator-Prey System,O175
  19. Study on College Students’ Career Confusion and Countermeasures,G647.38
  20. Robot obstacle avoidance algorithm,TP242
  21. Study on Image Authentication Model Based on Chaos Theory and Cryptography,TP309

CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations
© 2012 www.DissertationTopic.Net  Mobile