Results 11 to 20 of about 151,279 (283)
We studied a delayed predator–prey model with diffusion and anti-predator behavior. Assume that additional food is provided for predator population. Then the stability of the positive equilibrium is considered.
Ruizhi Yang, Xiao Zhao, Yong An
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To diagnose hill-top branching and multiple bifurcation, which exhibit two critical eigenvalues of the tangent stiffness matrix in stability problems, a sophisticated computational asymptotic bifurcation theory is developed.
Masato TANAKA +3 more
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Bifurcation Phenomena in Two-Dimensional Piecewise Smooth Discontinuous Maps [PDF]
In recent years the theory of border collision bifurcations has been developed for piecewise smooth maps that are continuous across the border, and has been successfully applied to explain nonsmooth bifurcation phenomena in physical systems.
Alligood K. T. +7 more
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Bifurcation Flight Dynamic Analysis of a Strake-Wing Micro Aerial Vehicle
Non-linear phenomena are particularly important in -flight dynamics of micro-class unmanned aerial vehicles. Susceptibility to atmospheric turbulence and high manoeuvrability of such aircraft under critical flight conditions cover non-linear aerodynamics
Mirosław Nowakowski +3 more
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Hopf Bifurcation and Chaos in Tabu Learning Neuron Models [PDF]
In this paper, we consider the nonlinear dynamical behaviors of some tabu leaning neuron models. We first consider a tabu learning single neuron model. By choosing the memory decay rate as a bifurcation parameter, we prove that Hopf bifurcation occurs in
CHUNGUANG LI +6 more
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On the Relationship between Equilibrium Bifurcations and Ideal MHD Instabilities for Line-Tied Coronal Loops [PDF]
For axisymmetric models for coronal loops the relationship between the bifurcation points of magnetohydrodynamic (MHD) equilibrium sequences and the points of linear ideal MHD instability is investigated imposing line-tied boundary conditions.
Neukirch, Thomas, Romeou, Zaharenia
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On the Geometry of the Liapunov-Schmidt Procedure [PDF]
The lectures presented by the author are not reproduced here since that material is available in J. Marsden, Qualitative Methods in Bifurcation Theory, Bull. Am. Math. Soc. 84 (1978), 1125–1148, R. Abraham and J. Marsden, Foundations of Mechanics, Second
Marsden, Jerrold E.
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Dynamical Analysis of the Lorenz-84 Atmospheric Circulation Model
The dynamical behaviors of the Lorenz-84 atmospheric circulation model are investigated based on qualitative theory and numerical simulations. The stability and local bifurcation conditions of the Lorenz-84 atmospheric circulation model are obtained.
Hu Wang, Yongguang Yu, Guoguang Wen
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Stability and Neimark–Sacker Bifurcation of a Delay Difference Equation
In this paper, we revisit a delay differential equation. By using the semidiscretization method, we derive its discrete model. We mainly deeply dig out a Neimark–Sacker bifurcation of the discrete model.
Shaoxia Jin, Xianyi Li
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