Stability of limit cycles in a pluripotent stem cell dynamics model

Details Stability of limit cycles in a pluripotent stem cell dynamics model Stability of limit cycles in a pluripotent stem cell dynamics model

2009-04-16

arxiv.org/abs/0904.2494v1

Chaos Solitons & Fractals / Chaos Solitons and Fractals 27, 4 (2006) 1091-1107

Mathematics

Analysis of PDEs

Scientific paper

10.1016/j.chaos.2005.04.083

This paper is devoted to the study of the stability of limit cycles of a nonlinear delay differential equation with a distributed delay. The equation arises from a model of population dynamics describing the evolution of a pluripotent stem cells population. We study the local asymptotic stability of the unique nontrivial equilibrium of the delay equation and we show that its stability can be lost through a Hopf bifurcation. We then investigate the stability of the limit cycles yielded by the bifurcation using the normal form theory and the center manifold theorem. We illustrate our results with some numerics.

Affiliated with

Also associated with

No associations

Rating

Stability of limit cycles in a pluripotent stem cell dynamics model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Stability of limit cycles in a pluripotent stem cell dynamics model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability of limit cycles in a pluripotent stem cell dynamics model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-465061