Geometric structures associated with certain dynamical systems
type: Item
instance of: scholarly article
zbMATH Open document ID: 0997.53021
publication date: 2001-03-07T00:00:00Z
full work available at URL: https://eudml.org/doc/122146
full work available at URL: 9.html
Mathematics Subject Classification ID: 53C07
Mathematics Subject Classification ID: 53C60
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 70H03
zbMATH DE Number: 1572582
zbMATH Keywords: Lagrange space
zbMATH Keywords: dynamical system
zbMATH Keywords: special nonlinear connections
zbMATH Keywords: dissipativity
MaRDI profile type: Publication
author: V. Obădeanu
title: Geometric structures associated with certain dynamical systems
published in: Balkan Journal of Geometry and its Applications (BJGA)
review text: The author considers a system of implicit second-order ordinary differential equations \(F=0\) written in the main form, on an \(m\)-dimensional differentiable manifold \(M\). He associates to it a geometrical structure defined respectively on \(M\), on \(J_2(M)\) and on \(\operatorname {Ker} F\), the last being a differentiable submanifold of \(J_2(M)\). This is given by a distinguished tensor \(A_{ij}(t,x,y)\) and by a pair of special nonlinear connections. Finally an object of ``dissipativity'' is defined.
reviewed by: Valentin Boju
description: scientific article