Results 81 to 90 of about 2,533 (183)
Rigorous verification of saddle–node bifurcations in ODEs
Indagationes Mathematicae, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Intermittency and Jakobson's theorem near saddle-node bifurcations
Discrete & Continuous Dynamical Systems - A, 2007 We discuss one parameter families of unimodal maps, with negative Schwarzian derivative, unfolding a saddle-node bifurcation. We show that there is a parameter set of positive but not full Lebesgue density at the bifurcation, for which the maps exhibit absolutely continuous invariant measures which are supported on the largest possible interval.
Homburg, A.J., Young, T.
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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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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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Saddle-node bifurcation cascade in optically injected lasers
, 2009 Self-similar structures converging to accumulation points are observed in optically injected lasers. These structures are associated to saddle-node bifurcations. We found that these phenomena can be properly explained in the framework of saddle-node bifurcation cascade.
Martin, Jesus San +1 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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Sensitivity enhancement of nonlinear micromechanical sensors using parametric symmetry breaking
Microsystems & NanoengineeringThe working mechanism of resonant sensors is based on tracking the frequency shift in the linear vibration range. Contrary to the conventional paradigm, in this paper, we show that by tracking the dramatic frequency shift of the saddle-node bifurcation ...
Yutao Xu +3 more
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