Conditions of the existence of an attractor in the form of a quadric for polynomial systems
type: Item
instance of: scholarly article
title: Conditions of the existence of an attractor in the form of a quadric for polynomial systems
zbMATH Open document ID: 0904.58039
published in: Doklady Mathematics
publication date: 1997-10-08T00:00:00Z
review text: The author studies a polynomial dynamical system \[ dx_i/dt= f_i(x)=-a_{i0}- \sum^n_{j=1} a_{ij}x_j -\sum^n_{j,k=1} a_{ijk} x_jx_k- \sum^n_{j,k,l=1} a_{jkl} x_jx_kx_l, \] and derives conditions for the existence of an attractor in the form of a quadric. According to the author, the study is meant to develop methods of synthesis and optimization of self-oscillation and other multiregime dynamical systems.
Mathematics Subject Classification ID: 37C70
zbMATH DE Number: 1050497
zbMATH Keywords: polynomial dynamical system
zbMATH Keywords: attractor
zbMATH Keywords: quadric
zbMATH Keywords: methods of synthesis
author: Andrey A. Krasovskii
reviewed by: Yoshihide Kozai
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1050497