Results 51 to 60 of about 228,096 (272)
On Local Bifurcations in Neural Field Models with Transmission Delays [PDF]
, 2012 Neural field models with transmission delay may be cast as abstract delay differential equations (DDE). The theory of dual semigroups (also called sun-star calculus) provides a natural framework for the analysis of a broad class of delay equations, among
Janssens, Sebastiaan G. +3 more
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Mathematical biosciences and engineering : MBE, 2019 In this article, a delayed phytoplankton-zooplankton system with Allee effect and linear harvesting is proposed, where phytoplankton species protects themselves from zooplankton by producing toxin and taking shelter. First, the existence and stability of
Xin-You Meng, Jie Li
semanticscholar +1 more source
Journal of Differential Equations, 1995 The authors present a numerical bifurcation study of the dynamical behavior of a structural dynamics model of a periodically forced suspended cable. The simplified equations of motion are: \(\ddot x+ \mu \dot x+ c_1 x+ c_2 x^2+ c_3 x^3= P\cos(\Omega t)\); \(c_1\), \(c_2\), \(c_3\) are fixed parameters.
Kunimochi Sakamoto, Bo Deng
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Bifurcation Analysis of Three-Strategy Imitative Dynamics with Mutations
Complexity, 2019 Evolutionary game dynamics is an important research, which is widely used in many fields such as social networks, biological systems, and cooperative behaviors.
Wenjun Hu, Haiyan Tian, Gang Zhang
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Global Hopf bifurcation for differential-algebraic equations with state dependent delay
, 2017 We develop a global Hopf bifurcation theory for differential equations with a state-dependent delay governed by an algebraic equation, using the $S^1$-equivariant degree.
Hu, Qingwen
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Small aspect ratio Taylor-Couette flow: onset of a very-low-frequency three-torus state [PDF]
, 2003 The nonlinear dynamics of Taylor-Couette flow in a small aspect ratio annulus (where the length of the cylinders is half of the annular gap between them) is investigated by numerically solving the full three-dimensional Navier-Stokes equations.
López Moscat, Juan Manuel +1 more
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Approximation of Hopf bifurcation
Numerische Mathematik, 1982 We make several assumptions on a nonlinear evolution problem, ensuring the existence of a Hopf bifurcation. Under a fairly general approximation condition, we define a discrete problem which retains the bifurcation property and we prove an error estimate between the branches of exact and approximate periodic solutions.
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Abstract and Applied Analysis, 2014 The paper investigated an avian influenza virus propagation model with nonlinear incidence rate and delay based on SIR epidemic model. We regard delay as bifurcating parameter to study the dynamical behaviors.
Yanhui Zhai +3 more
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A proof of Wright's conjecture [PDF]
, 2017 Wright's conjecture states that the origin is the global attractor for the delay differential equation $y'(t) = - \alpha y(t-1) [ 1 + y(t) ] $ for all $\alpha \in (0,\tfrac{\pi}{2}]$.
Berg, Jan Bouwe van den +1 more
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A model for the nonautonomous Hopf bifurcation [PDF]
Nonlinearity, 2015 Inspired by an example of Grebogi et al [1], we study a class of model systems which exhibit the full two-step scenario for the nonautonomous Hopf bifurcation, as proposed by Arnold [2]. The specific structure of these models allows a rigorous and thorough analysis of the bifurcation pattern.
V Anagnostopoulou, T Jäger, G Keller
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