Results 1 to 10 of about 15,131 (149)
A cubic-quadratic phenomenological model explains the spiking, chaotic and bursting behaviors of neuron [PDF]
Scientific ReportsIn this manuscript, we present a two-dimensional phenomenological spiking neuron model. By analyzing the bifurcation diagram and phase portraits of the two-dimensional model, Andronov-Hopf bifurcation, saddle-point bifurcation and saddle-point on ...
Shuihan Qiu, Yeyuge Chen, Zengru Di
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Transition characteristics of the dynamic behavior of a vehicle wheel-rail vibro-impact system
Electronic Research Archive, 2023 A two-degree-of-freedom vehicle wheel-rail impact vibration system model is developed, and the equivalent impact stiffness and damping of the rail are fitted applying ABAQUS, taking into account the high and low irregularity generated by the welded ...
Yang Jin, Wanxiang Li, Hongbing Zhang
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Results in Physics, 2023 The bifurcation and chaotic motion characteristics are studied for a roll-to-roll flexible printed electronic laminated membrane subjected to initial tension in a steady temperature field. First, an aerodynamic model of the moving membrane is established
A. Mingyue Shao +5 more
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Shock and Vibration, 2021 In this paper, the hinge in the articulated structure is studied, the gap hinge is described as a nonlinear bilateral constraint, and the equivalent modeling and analysis of the hinge connection collision vibration are carried out based on the Lankarani ...
Li Ding +6 more
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An infinite semipositone problem with a reversed S-shaped bifurcation curve
Electronic Research Archive, 2023 We study positive solutions to the two point boundary value problem: $ \begin{equation*} \begin{matrix}Lu = -u'' = \lambda \bigg\{\dfrac{A}{u^\gamma}+M\big[u^\alpha+u^\delta\big]\bigg\} \; ;\; (0, 1) \\ u(0) = 0 = u(1 ...
Amila Muthunayake +2 more
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Nonlinear Model and Dynamic Behavior of Photovoltaic Grid-Connected Inverter
Applied Sciences, 2020 A photovoltaic grid-connected inverter is a strongly nonlinear system. A model predictive control method can improve control accuracy and dynamic performance.
Zhi-Xian Liao +7 more
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Bifurcation analysis of motoneuronal excitability mechanisms under normal and ALS conditions
Frontiers in Cellular Neuroscience, 2023 IntroductionBifurcation analysis allows the examination of steady-state, non-linear dynamics of neurons and their effects on cell firing, yet its usage in neuroscience is limited to single-compartment models of highly reduced states.
Muhammad Moustafa +5 more
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Entropy Complexity and Stability of a Nonlinear Dynamic Game Model with Two Delays
Entropy, 2016 In this paper, a duopoly game model with double delays in hydropower market is established, and the research focus on the influence of time delay parameter on the complexity of the system.
Zhihui Han +3 more
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Analysis of modified Holling-Tanner model with strong Allee effect
Mathematical Biosciences and Engineering, 2023 In this paper, we study a predator-prey system, the modified Holling-Tanner model with strong Allee effect. The existence and stability of the non-negative equilibria are discussed first.
Kunlun Huang, Xintian Jia, Cuiping Li
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On the Dynamics of the Logistic Delay Differential Equation with Two Different Delays [PDF]
Journal of Applied and Computational Mechanics, 2021 Here, we study the logistic delay differential equation with two different delays. First of all, we disscuse the local stability and Hopf bifurcation conditons. The method of steps is used to get a discretized analogue of the original system.
Ahmed El-Sayed +2 more
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