A discussion on the coexistence of heteroclinic orbit and saddle foci for third-order systems
type: Item
instance of: scholarly article
title: A discussion on the coexistence of heteroclinic orbit and saddle foci for third-order systems
zbMATH Open document ID: 1317.34095
published in: Journal of Mathematical Analysis and Applications
publication date: 2015-03-27T00:00:00Z
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34C28
zbMATH DE Number: 6420128
zbMATH Keywords: exact heteroclinic orbits
zbMATH Keywords: third-order continuous systems
zbMATH Keywords: saddle foci
author: Lingli Xie
MaRDI profile type: Publication
full work available at URL: j.jmaa.2013.11.014
OpenAlex ID: W1975200803
cites work: Comment on “Sil’nikov chaos of the Liu system” [Chaos 18, 013113 (2008)]
cites work: Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by the hyperbolic perturbation method
cites work: YET ANOTHER CHAOTIC ATTRACTOR
cites work: A hyperbolic Lindstedt-Poincaré method for homoclinic motion of a kind of strongly nonlinear autonomous oscillators
cites work: \(n\)-dimensional stable and unstable manifolds of hyperbolic singular point
cites work: Homoclinic and heteroclinic orbits in a modified Lorenz system
cites work: The evolution of the stable and unstable manifold of an equilibrium point
cites work: Q5509205
cites work: Q5624041
cites work: A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE
cites work: Q4264342
cites work: Shil'nikov's theorem-a tutorial
cites work: Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system
cites work: Sil'nikov chaos of the Liu system
cites work: CHEN'S ATTRACTOR EXISTS
cites work: Ši'lnikov chaos in the generalized Lorenz canonical form of dynamical systems
DOI: 10.1016/J.JMAA.2013.11.014
description: scientific article; zbMATH DE number 6420128