Geodesic
On some properties of the domain graphs of dynamical systems
Sibirskij žurnal industrialʹnoj matematiki, Tome 18 (2015) no. 4, pp. 42-48

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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
Mots-clés : phase portrait. 
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     author = {M. V. Kazantsev},
     title = {On some properties of the domain graphs of dynamical systems},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {42--48},
     publisher = {mathdoc},
     volume = {18},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2015_18_4_a4/}
}
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M. V. Kazantsev. On some properties of the domain graphs of dynamical systems. Sibirskij žurnal industrialʹnoj matematiki, Tome 18 (2015) no. 4, pp. 42-48. http://geodesic.mathdoc.fr/item/SJIM_2015_18_4_a4/