This article is cited in 16 papers

On some properties of the domain graphs of dynamical systems

M. V. Kazantsev

Polzunov Altai State Technical University, 46 Lenin av., 656038 Barnaul

Abstract: We continue examining the properties of the domain graphs defining the discrete structure in the phase portraits of the dynamical systems modelling gene networks. Some necessary and sufficient conditions are described for the existence of cycles on different potential levels of the domain graph. Also the conditions are found for these graphs to beisomorphic for different dynamical systems.

Keywords: gene network, graph, dynamical system, potential level, phase portrait.

UDC: 514.745.82

Received: 08.04.2015

DOI: 10.17377/sibjim.2015.18.405

Bibliographic databases:

• 
•