Monotonicity of the period map of a non-Hamiltonian center
type: Item
instance of: scholarly article
title: Monotonicity of the period map of a non-Hamiltonian center
zbMATH Open document ID: 0812.34018
author: Jorge Billeke
author: Eduardo Sáez
published in: Collectanea Mathematica
publication date: 1995-02-22T00:00:00Z
full work available at URL: https://eudml.org/doc/39684
review text: The authors prove that the periodic map of \(\ddot x- ax\dot x+ x^ 3= 0\) with \(a^ 2< 8\), is monotonically decreasing. As an application, it is obtained that the respective Dirichlet boundary value problem for two points has either a unique solution or no solution at all while the Neumann boundary value problem has a unique solution.
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 724156
zbMATH Keywords: non-Hamiltonian center
zbMATH Keywords: planar dynamical systems
zbMATH Keywords: periodic map
zbMATH Keywords: Dirichlet boundary value problem
zbMATH Keywords: Neumann boundary value problem
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 724156