Hopf Bifurcation Analysis of Time Lag Lü System
Journal Title: 河南科技大学学报（自然科学版） - Year 2019, Vol 40, Issue 3
Abstract
In order to further improve the actual fitting degree of nonlinear Lü system and reduce the uncertain conditions of the system, the Hopf bifurcation theory was combined with the time lag factor existing in the system to analyze a single time lag Lü system. The stability of the equilibrium point was analyzed according to the Routh-Hurwitz criterion, and the type of Hopf bifurcation in the system was determined by judging the stability index of the bifurcation. The research results show that after the Lü system is introduced with the time lag parameter, the overall stability of the system is improved. The time lag parameter of the system can approach the equilibrium point at the time lag parameter 0. 765 2. When the time lag parameter reaches0. 906 0, the system has a more stable limit cycle, and the amplitude of the overall limit cycle is more stable.
Authors and Affiliations
Guan SUN, Yan CUI, Hongjun HE, Chenhui LU
Keywords
Related Articles
- EP ID EP469110
- DOI 10.15926/j.cnki.issn1672-6871.2019.03.014
- Views 65
- Downloads 0
Intelligent Double Control System of Water and Electricity for Agricultural Irrigation Well House
In order to establish and improve agricultural water price formation mechanism, a new intelligent double control system of water and electricity for agricultural irrigation well house was proposed. According to the funct...
Experiment of Droplet Size Distribution in Selective Catalytic Reduction System of Diesel Engine
The droplet size distribution of two types of urea injection systems was measured by using laser analyzer. The droplet size distribuition of water and urea-solution was investigated and compared. The effect of injection...
Effect of Soil on Longitudinal Mode Guided Wave Propagation of Pipeline
Aiming at the defect detection problem of ultrasonic guided wave technology in buried pipeline under different geographical environment, the frequency dispersion and attenuation characteristics of longitudinal mode in bu...
Research on Improving Cooling Effect of Thermoacoustic Refrigeration
Based on the thermoacoustic effect theory, the effects of sound pressure amplitude on the thermoacoustic effect in the cavity of thermoacoustic refrigerator were analyzed. The finite element method was used to analyze th...
Electromigration Microstructure and Properties of Sn2.5Ag0.7Cu0.1RE/Cu Solder Joints
The effect of temperature on electromigration microstructure and properties of Sn2. 5 Ag0. 7 Cu 0. 1 RE/Cu solder joints was investigated. With the ambient temperature rising from 100 ℃ to 140 ℃, and the power on time ex...