Bifurcation points for a reaction–diffusion system with two inequalities

Multiplicity of Bifurcation Points for Variational Inequalities via Conley Index

where K0 = ⋃ t>0 tK is a closed convex cone. The typical problem one has to face is twofold: (1) find eigenvalues (which is nontrivial, unless K0 is a linear space): (2) ensure that some eigenvalues are bifurcation points (which is not always true, as counterexamples show). Much work has been done in this context; see [11], [15]–[18], [21]–[30], [32]–[34] and the references therein for a more c...

On Bifurcation Points of the Stationary Vlasov-Maxwell System with Bifurcation Direction

Let us consider a multicomponent plasma containing electrons and positively charged ions of various kinds and described by the multiparticle distribution function f i = f i

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

Calculating Bifurcation Points with Guaranteed Accuracy

This paper presents a method of calculating an interval including a bifurcation point. Turning points, simple bifurcation points, symmetry breaking bifurcation points and hysteresis points are calculated with guaranteed accuracy by the extended systems for them and by the Krawczyk-based interval validation method. Taking several examples, the results of validation are also presented. key words:...

Bifurcation analysis and dynamics of a Lorenz –type dynamical system 

./files/site1/files/0Abstract1.pdfIn this paper we consider a continues Lorenz – type dynamical system. Dynamical behaviors of this system such as computing equilibrium points, different bifurcation curves and computation of normal form coefficient of each bifurcation point analytically and numerically. In particular we derived sufficient conditions for existence of Hopf and Pitchfork bifurcati...