On the integrability and perturbations of systems of ODE's with nonlinear superposition principles
type: Item
instance of: scholarly article
title: On the integrability and perturbations of systems of ODE's with nonlinear superposition principles
zbMATH Open document ID: 0598.34005
DOI: 10.1016/0167-2789(86)90179-X
published in: Physica D
publication date: 1986-01-01T00:00:00Z
review text: In this note - properly characterized as ''extended abstract'' by the authors themselves - the authors announce that they are currently investigating a variety of manifestations of chaotic behavior in different perturbations of systems of ODE's with nonlinear superposition principles.
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 37D99
zbMATH DE Number: 3964397
zbMATH Keywords: first order differential equation
zbMATH Keywords: chaotic behavior
zbMATH Keywords: perturbations
zbMATH Keywords: nonlinear superposition principles
author: Tassos Bountis
author: V. G. Papageorgiou
author: Pavel Winternitz
reviewed by: Prem N. Bajaj
MaRDI profile type: Publication
cites work: Classification of systems of nonlinear ordinary differential equations with superposition principles
cites work: On the complete and partial integrability of non-Hamiltonian systems
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
full work available at URL: 0167-2789(86)90179-x
OpenAlex ID: W2057633259
description: scientific article; zbMATH DE number 3964397