A planar model system for the saddle–node Hopf bifurcation with global reinjection
نویسندگان
چکیده
منابع مشابه
Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation
The saddle-node Hopf bifurcation (SNH) is a generic codimensiontwo 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. We consider here the case that there is a global reinjection mechanism, because the centre manifold of the zero eigenvalue returns to a neighbourhood of t...
متن کاملGlobal Hopf Bifurcation for an Internet Congestion Model
In this paper, our attention is focused on the global existence of bifurcating periodic solutions. We show that periodic solutions exist after the second critical value of time delay. Furthermore, a numerical example is given. AMS Subject Classifications: 34K13, 34K18.
متن کاملHOPF BIFURCATION CONTROL WITH PD CONTROLLER
In this paper, we investigate the problem of bifurcation control for a delayed logistic growth model. By choosing the timedelay as the bifurcation parameter, we present a Proportional - Derivative (PD) Controller to control Hopf bifurcation. We show that the onset of Hopf bifurcation can be delayed or advanced via a PD Controller by setting proper controlling parameter. Under consideration mode...
متن کاملLocal and Global Hopf bifurcation in a Delayed Hematopoiesis Model
We first consider the existence of local Hopf bifurcations, and then derive the explicit formulas which determine the stability, direction and other properties of bifurcating periodic solutions, using the normal form theory and center manifold reduction. Further, particular attention is focused on the existence of the global Hopf bifurcation. By using the global Hopf bifurcation theory due to W...
متن کاملHopf bifurcation analysis of a diffusive predator-prey model with Monod-Haldane response
In this paper, we have studied the diffusive predator-prey model with Monod-Haldane functional response. The stability of the positive equilibrium and the existence of Hopf bifurcation are investigated by analyzing the distribution of eigenvalues without diffusion. We also study the spatially homogeneous and non-homogeneous periodic solutions through all parameters of the system which are spati...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinearity
سال: 2004
ISSN: 0951-7715,1361-6544
DOI: 10.1088/0951-7715/17/4/001