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 60
- Downloads 0
Effects of Molybdenum on Mice Infertility Model Reproductive Barriers Induced by Busulfan
The effects of molybdenum on the male and female infertility model reproductive barriers were explored. Firstly,the 30 mg / kg busulfan was injected into the Kunming mice by the means of single intraperitoneal injection...
Preparation of Fluorophlogopite Glass-ceramic Powder by Sol-gel Method
Taking Mg ( NO3) _2·6H2O, Al ( NO3) _3·9H2O, NH4 F, NaF, CO ( NH2) _2and silica sol as raw materials, the powder of fluorophlogopite ( NaMg3AlSi3O10F2) was prepared by sol-gel method. The effects of the heat treatment te...
Research on Flight Schedule Optimization of the Pearl River Delta Multi-airport
Under the premise of decreasing flight delays, the multi-airport flight schedule optimization and dynamic queuing model were established to minimize interference with airline scheduling on the airline operation.The impro...
Design of LCD Touch Controller Based on ARM and FPGA
To overcome the problems of limited frame rates, processor overload, poor portability of current liquid crystal display (LCD) touch screen control technology, a design scheme of LCD touch screen controller based on advan...
Effect of Mass Fraction Ratio of Al2O3 to SiO2 on Friction and Wear Properties of Cu-based Powder Metallurgy Brake Material
In order to improve the performance of brake pad, the powder metallurgy technology was used to produce Cu-based friction material, in which mass fraction ratio of Al2O3 to SiO2 was 2∶ 6, 4∶ 4, 6∶ 2 and 8∶ 0, respectively...