Results 11 to 20 of about 21,432 (265)
Pattern formation of a Schnakenberg-type plant root hair initiation model
Electronic Journal of Qualitative Theory of Differential Equations, 2018 This paper concentrates on the diversity of patterns in a quite general Schnakenberg-type model. We discuss existence and nonexistence of nonconstant positive steady state solutions as well as their bounds.
Yanqiu Li, Juncheng Jiang
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Precise Asymptotics for Bifurcation Curve of Nonlinear Ordinary Differential Equation
Mathematics, 2020 We study the following nonlinear eigenvalue problem −u″(t)=λf(u(t)),u(t)>0,t∈I:=(−1,1),u(±1)=0, where f(u)=log(1+u) and λ>0 is a parameter. Then λ is a continuous function of α>0, where α is the maximum norm α=∥uλ∥∞ of the solution uλ associated with λ ...
Tetsutaro Shibata
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Global Bifurcation on Time Scales
Journal of Mathematical Analysis and Applications, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Davidson, Fordyce A., Rynne, Bryan P.
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Electronic Journal of Qualitative Theory of Differential Equations, 2019 We study the global bifurcation and exact multiplicity of positive solutions for \begin{equation*} \begin{cases} u^{\prime \prime }(x)+\lambda f_{\varepsilon }(u)=0\text ...
Shao-Yuan Huang +2 more
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Hopf Bifurcation and Global Dynamics Analysis of Generalized Sprott L System
Zanco Journal of Pure and Applied Sciences, 2023 A simple chaotic system with only one nonlinearity and five terms was introduced by Sprott. We consider the generalized Sprott differential system. We study the local stability of equilibrium points and local bifurcation, in particular, by choosing an
Azad I. Amen ,Hassan A. Ahmad
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Global Bifurcation and a Theorem of Tarantello
Journal of Mathematical Analysis and Applications, 1994 The authors investigate the number of solutions (and their zeros) of the fourth order boundary value problem \(u''''+ cu''= b[(u+ 1)^ +-1]\), \(u(0)= u''(0)= u(r)= u''(r)=0\). To prove their main result, the authors use the method of global bifurcation due to Rabinowitz and the nodal properties of solutions of a second order boundary value problem.
Lazer, A.C., Mckenna, P.J.
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Fractal and Fractional, 2023 In order to investigate the impact of general nonlinear incidence, cellular infection, and multiple time delays on the dynamical behaviors of a virus infection model, a within-host model describing the virus infection is formulated and studied by taking ...
Jinhu Xu, Guokun Huang
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Global Bifurcation of Anti-plane Shear Fronts [PDF]
Journal of Nonlinear Science, 2021 21 pages, 2 ...
Robin Ming Chen +2 more
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Global bifurcation for the Hénon problem
Communications on Pure and Applied Analysis, 2020 We prove the existence of nonradial solutions for the Hénon equation in the ball with any given number of nodal zones, for arbitrary values of the exponent $α$. For sign-changing solutions, the case $α=0$ -- Lane-Emden equation -- is included. The obtained solutions form global continua which branch off from the curve of radial solutions $p\mapsto u_p$,
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Tangency Bifurcations of Global Poincaré Maps
SIAM Journal on Applied Dynamical Systems, 2008 One tool to analyze the qualitative behavior of a periodic orbit of a vector field in $\mathbb{R}^n$ is to consider the Poincaré return map to an $(n-1)$-dimensional section. The image under the Poincaré map of a point on this section that lies near the periodic orbit is obtained by following the flow of the vector field until the next (local ...
Clare M. Lee +3 more
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