system of differential equations with a small parameterperturbed differential systembifurcation of the point of equilibriummultidimensional invariant toriWe consider the following real autonomous system of 2 d differential equations with a small positive parameter ε: \\\(\\\dot x_i = x_{i + d} ...
ordinary differential equations in Banach spaces; second order differential equations on manifolds; the topological structure of the solution set of differential... A Granas,M Frigon,G Sabidussi - Kluwer Academic Publishers, 被引量: 259发表: 1995年 Analytic Theory of Global Bifurcation: Rabinowitz'...
A predatoru2013prey system with neutral delay is investigated from the viewpoint of bifurcation analysis on neutral delay differential equations. Stability... B Niu,W Jiang - 《International Journal of Bifurcation & Chaos》 被引量: 5发表: 2013年 Stability analysis in a neutral nonlinear differentia...
The basic idea is to join the differential equation by a certain homotopy, provided by a system of equations with penalty, and to show that the bifurcation point of the equations is transfered to a bifurcation point of the inequality thereby. 展开 ...
Theoretical and numerical studies of nonlinear shell equations We study the solution field ja:math of a parameter dependent nonlinear two-point boundary value problem presented by Troger and Steindl [H. Troger, A. St... M Hermann,D Kaiser,M Schr?Der - 《Physica D-nonlinear Phenomena》 被引量...
Bifurcation of the Equilibrium Point in the Critical Case of Two Pairs of Zero Characteristic Roots Consider the system of four autonomous differential equations x ˙ 1 =x 2 +X 1 [n+1] (x,ε)+X 1 [n+2] (x,ε)+X 1 *[n+3] (x,ε),x ˙ 2 =-x 1 2n-1 +X 2 [2n] (x,...
For differential equations with multiple delays considered as parameters, it is difficult to determine bifurcation values. Here, we present a general algorithm for computing Hopf bifurcation solutions suitable for multiple delays differential systems. The proposed algorithm is based on an approach...
(72) has a “Hopf bifurcation” at μ=0. In the mathematical theory of dynamical systems, the term bifurcation (or branching) is applied to any qualitative change in the solutions to the equations of motion that occurs as a parameter is varied past a critical value; see [190] and ...
the special case of solutions to the homogeneous GLV equations has been compared to the steady state behavior of point processes with excitatory and inhibitory couplings. In26, two different networks composed of three interacting populations were studied, and GLV equations were derived from a first ...
An inverse boundary-value problem for semilinear elliptic equations We show that in dimension two or greater, a certain equivalence class of the scalar coefficient $a(x,u)$ of the semilinear elliptic equation $Delta u,+a(... Z Sun - 《Electronic Journal of Differential Equations》 被引量: ...