Cycles of dynamical systems on the plane and Rolle's theorem
type: Item
instance of: scholarly article
title: Cycles of dynamical systems on the plane and Rolle's theorem
zbMATH Open document ID: 0581.14023
DOI: 10.1007/BF00968990
published in: Siberian Mathematical Journal
publication date: 1984-01-01T00:00:00Z
review text: In this paper a new class of planar curves, which properly contains a class of algebraic curves, is introduced. They are called P-curves, and are related with polynomial systems of ordinary differential equations. The main result is an extension to P-curves of the classical Bezout theorem.
Mathematics Subject Classification ID: 14H20
Mathematics Subject Classification ID: 14C99
Mathematics Subject Classification ID: 37-XX
zbMATH DE Number: 3929166
zbMATH Keywords: planar dynamical systems
zbMATH Keywords: P-curves
zbMATH Keywords: polynomial systems of ordinary differential equations
zbMATH Keywords: Bezout theorem
author: A. G. Khovanskii
reviewed by: Andrea Bacciotti
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3929166