On periodic trajectories in odd-dimensional gene network models

V. P. Golubyatnikov; I. V. Golubyatnikov

doi:10.1515/rjnamm.2011.022

Published by De Gruyter August 25, 2011

On periodic trajectories in odd-dimensional gene network models

V. P. Golubyatnikov and I. V. Golubyatnikov

From the journal Russian Journal of Numerical Analysis and Mathematical Modelling

https://doi.org/10.1515/rjnamm.2011.022

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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

On periodic trajectories in odd-dimensional gene network models

Abstract

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