Results 11 to 20 of about 5,050,575 (301)
Local and global bifurcation phenomena [PDF]
, 1983 Bifurcation, global non-uniqueness and stability of solutions to the plane-strain problem of an incompressible isotropic elastic material subject to in-plane dead-load tractions are considered.
Ogden, R W
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Non-degenerate umbilics, the path formulation and gradient bifurcation problems [PDF]
, 2004 Parametrised contact-equivalence is successful for the understanding and classification of the qualitative local behaviour of bifurcation diagrams and their perturbations. Path formulation is an alternative point of view.
Sitta, AM, Furter, JE
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Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation [PDF]
, 2006 The saddle-node Hopf bifurcation (SNH) is a generic codimension-two bifurcation of equilibria of vector fields in dimension at least three. It has been identified as an organizing centre in numerous vector field models arising in applications.
Oldeman, BE +3 more
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Global Hopf bifurcation in the ZIP regulatory system [PDF]
, 2015 Regulation of zinc uptake in roots of Arabidopsis thaliana has recently been modeled by a system of ordinary differential equations based on the uptake of zinc, expression of a transporter protein and the interaction between an activator and inhibitor ...
Ptashnyk, Mariya +4 more
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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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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 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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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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