Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Ion, Anca Veronica"'
Autor:
Ion, Anca Veronica
For the model of periodic chronic myelogenous leukemia considered by Pujo-Menjouet, Mackey et al., model consisting of two delay differential equations, the equation for the density of so-called "resting cells" was studied from numerical and qualitat
Externí odkaz:
http://arxiv.org/abs/1403.2966
Autor:
Ion, Anca Veronica
Publikováno v:
JMAA, 329(2007), 777-789
Some errors contained in the author's previous article "An example of Bautin-type bifurcation in a delay differential equation", JMAA, 329(2007), 777-789, are listed and corrected. Original abstract: In a previous paper we gave sufficient conditions
Externí odkaz:
http://arxiv.org/abs/1401.5993
Autor:
Ion, Anca Veronica
When studying a general system of delay differential equation with a single constant delay, we encounter a certain lack of uniqueness in determining the coefficient of one of the third order terms of the series defining the center manifold. We solve
Externí odkaz:
http://arxiv.org/abs/1311.5749
Numerical investigation of the Bautin bifurcation in a delay differential equation modeling leukemia
In a previous work we investigated the existence of Hopf degenerate bifurcation points for a differential delay equation modeling leukemia and we actually found Hopf points of codimension two for the considered problem. If around the parameters corre
Externí odkaz:
http://arxiv.org/abs/1208.1707
This paper continues the work contained in two previous papers, devoted to the study of the dynamical system generated by a delay differential equation that models leukemia. Here our aim is to identify degenerate Hopf bifurcation points. By using an
Externí odkaz:
http://arxiv.org/abs/1205.3917
Autor:
Ion, Anca Veronica
Publikováno v:
Acta Univ. Apulensis, 8(2004), 235-246
For systems of delay differential equations the Hopf bifurcation was investigated by several authors. The problem we consider here is that of the possibility of emergence of a codimension two bifurcation, namely the Bautin bifurcation, for some of su
Externí odkaz:
http://arxiv.org/abs/1111.1559
Autor:
Ion, Anca-Veronica
In computing the third order terms of the series of powers of the center manifold at an equilibrium point of a scalar delay differential equation, with a single constant delay $r>0,$ some problems occur at the term $w_{21}z^2\bar{z}.$ More precisely,
Externí odkaz:
http://arxiv.org/abs/1110.4090
Publikováno v:
"Journal of Middle Volga Mathematical Society", 11, 2(2009), 146-157
We consider a delay differential equation that occurs in the study of chronic myelogenous leukemia. After shortly reminding some previous results concerning the stability of equilibrium solutions, we concentrate on the study of stability of periodic
Externí odkaz:
http://arxiv.org/abs/1001.5354
Autor:
Ion, Anca Veronica
The paper is devoted to the study of stability of equilibrium solutions of a delay differential equation that models leukemia. The equation was previously studied in [5] and [6], where the emphasis is put on the numerical study of periodic solutions.
Externí odkaz:
http://arxiv.org/abs/1001.4658