Geodesic
Some classes of linear extentions of dynamical system on a torus.
Mathematica Applicanda, Tome 45 (2017) no. 2, pp. 153 - 161.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In this article was presented a method of construction of the Lyapunov function for some classes of linear extensions of dynamical systems. The article contains two parts. In the first part were presented the basic definitions as Green-Samoilenko function and regularity of the system. The second part contains the theorem, which allows to determine regularity of the system by using the Lyapunov function. In the second part are also two example, which show how to construct the Lyapunov function.
DOI : 10.14708/ma.v45i2.3288
Classification : 34D99;34D10
Mots-clés : dynamical systems, regular systems, differential equations 
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Marek Ryszard Morawiak. Some classes of linear extentions of dynamical system on a torus.. Mathematica Applicanda, Tome 45 (2017) no. 2, pp.  153 - 161. doi : 10.14708/ma.v45i2.3288. http://geodesic.mathdoc.fr/articles/10.14708/ma.v45i2.3288/

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