Article
Licensed
Unlicensed
Requires Authentication
On periodic trajectories in odd-dimensional gene network models
-
V. P. Golubyatnikov
Published/Copyright:
August 25, 2011
Abstract
We prove a theorem on the existence of periodic trajectories in phase portraits of odd-dimensional nonlinear dynamical systems modelling gene networks regulated by negative feedbacks. Also, we find certain sufficient conditions of the existence of stable cycles there. Some generalizations and applications of these results are given as well.
Published Online: 2011-08-25
Published in Print: 2011-August
© de Gruyter 2011
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Families of meshes minimizing P1 interpolation error for functions with indefinite Hessian
- Use of analytic solutions in the statement of difference boundary conditions on a movable shoreline
- Numerical simulation of the breaking effect in nonlinear axially-symmetric plasma oscillations
- On periodic trajectories in odd-dimensional gene network models
- Blowup of errors caused by inexact knowledge of the Poisson ratio in some elasticity problems
- Iterative Newton solution method for the Richardson scheme for a semilinear singular perturbed elliptic convection–diffusion equation
Articles in the same Issue
- Families of meshes minimizing P1 interpolation error for functions with indefinite Hessian
- Use of analytic solutions in the statement of difference boundary conditions on a movable shoreline
- Numerical simulation of the breaking effect in nonlinear axially-symmetric plasma oscillations
- On periodic trajectories in odd-dimensional gene network models
- Blowup of errors caused by inexact knowledge of the Poisson ratio in some elasticity problems
- Iterative Newton solution method for the Richardson scheme for a semilinear singular perturbed elliptic convection–diffusion equation
