Construction of the minimal sets of differential equations with polynomial right-hand side

We present a method for constructing the minimal sets of autonomous systems of ordinary differential equations with polynomial right-hand side. The implementation of the method is based on the construction of a discrete dynamical system along the solutions of the original system. As an application,...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Differential equations 2015-11, Vol.51 (11), p.1403-1412
Hauptverfasser:	Afanas’ev, A. P., Dzyuba, S. M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation Autonomous Construction Difference and Functional Equations Differential equations Dynamical systems Dynamics Lorenz Curve Lorenz system Mathematical analysis Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Polynomials Studies
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We present a method for constructing the minimal sets of autonomous systems of ordinary differential equations with polynomial right-hand side. The implementation of the method is based on the construction of a discrete dynamical system along the solutions of the original system. As an application, we give an approximate construction of minimal sets of the Lorenz system.
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S0012266115110014