Results 111 to 120 of about 5,483 (218)
上海师范大学学报. 自然科学版In this paper, we propose two predator-prey dynamical systems where the prey follows power-law growth and the predation rate depends on the ratio of the two species. We investigate the stabilities and bifurcations of the equilibria to the two system. For
QIAO Zhiyuan +3 more
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Voltage Stability Bifurcation Analysis for AC/DC Systems with VSC-HVDC
Abstract and Applied Analysis, 2013 A voltage stability bifurcation analysis approach for modeling AC/DC systems with VSC-HVDC is presented. The steady power model and control modes of VSC-HVDC are briefly presented firstly.
Yanfang Wei +4 more
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Nonlinear AnalysisThis paper investigates the effect of fear effect and constant-type harvesting on the dynamic of a Leslie–Gower predator–prey model. Initially, an analysis is carried out to identify all potential equilibria and evaluate their stability.
Chenyang Huangfu, Zhong Li
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The Non-Autonomous Saddle Node Bifurcation
Journal of Computational MathemticaThis work explores the phenomenon of saddle-node bifurcation in both autonomous and non-autonomous dynamical systems. The classical autonomous case is illustrated through a simple differential equation that demonstrates the creation and annihilation of fixed points as a system parameter varies.
Geethalakshmi S +2 more
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Constraining safe and unsafe overshoots in saddle-node bifurcations
Chaos: An Interdisciplinary Journal of Nonlinear ScienceWe consider a dynamical system undergoing a saddle-node bifurcation with an explicitly time-dependent parameter p(t). The combined dynamics can be considered a dynamical system where p is a slowly evolving parameter. Here, we investigate settings where the parameter features an overshoot. It crosses the bifurcation threshold for some finite duration te
Elias Enache +3 more
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, 2023 Dynamical properties of limit cycles in a tropically discretized negative feedback model are numerically investigated. This model has a controlling parameter $\tau$, which corresponds to time interval for the time evolution of phase in the limit cycles ...
Ohmori, Shousuke, Yamazaki, Yoshihiro
core
Global dynamics of a modified hybrid Van der Pol-Rayleigh oscillator II
Electronic Journal of Differential EquationsIn this article, we study a modified hybrid Van der Pol-Rayleigh oscillator. We consider bifurcation diagrams and global phase portraits in the Poincare disc under some restrictions on the parameters.
Yuhuan Lu, Rui Zhang
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Bifurcation Analysis of the Dynamics in COVID-19 Transmission through Living and Nonliving Media
Journal of Applied MathematicsTransmission of COVID-19 occurs either through living media, such as interaction with a sufferer, or nonliving objects contaminated with the virus. Recovering sufferers and disinfectant spraying prevent interaction between people and virus become the ...
Ario Wiraya +5 more
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AxiomsThis paper studies a particular type of planar Filippov system that consists of two discontinuity boundaries separating the phase plane into three disjoint regions with different dynamics. This type of system has wide applications in various subjects. As
Nanbin Cao, Yue Zhang, Xia Liu
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Bifurcation Behavior Analysis in a Predator-Prey Model
Discrete Dynamics in Nature and Society, 2016 A predator-prey model is studied mathematically and numerically. The aim is to explore how some key factors influence dynamic evolutionary mechanism of steady conversion and bifurcation behavior in predator-prey model.
Nan Wang +5 more
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