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
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- DOI 10.15926/j.cnki.issn1672-6871.2019.03.014
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