What can we learn from homoclinic orbits in chaotic dynamics ?
type: Item
instance of: scholarly article
title: What can we learn from homoclinic orbits in chaotic dynamics ?
zbMATH Open document ID: 0587.58035
DOI: 10.1007/BF01019496
published in: Journal of Statistical Physics
publication date: 1983-01-01T00:00:00Z
review text: State diagrams of two model systems involving three variables are constructed. The parameter dependence of different forms of complex nonperiodic behavior, and particularly of homoclinic orbits, is analyzed. It is shown that the onset of homoclinicity is reflected by deep changes in the qualitative behavior of the system.
Mathematics Subject Classification ID: 37G99
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 3942560
zbMATH Keywords: bifurcation theory
zbMATH Keywords: homoclinic orbits
zbMATH Keywords: nonperiodic behavior
zbMATH Keywords: chaotic dynamics
author: P. Gaspard
author: Gregoire Nicolis
MaRDI profile type: Publication
cites work: Quantitative universality for a class of nonlinear transformations
cites work: Oscillators with chaotic behavior: An illustration of a theorem by Shil'nikov
cites work: Differentiable dynamical systems
description: scientific article; zbMATH DE number 3942560