The existence of Šilnikov's orbit in four-dimensional Duffing's systems
type: Item
instance of: scholarly article
title: The existence of Šilnikov's orbit in four-dimensional Duffing's systems
zbMATH Open document ID: 1106.34028
author: Wei Li
author: Pengcheng Xu
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2004-09-22T00:00:00Z
review text: A Melnikov-type technique is developed for detecting the existence of homoclinic orbits to a saddle-focus equilibrium, so-called Silnikov orbits, in a special class of coupled oscillators. The theory is illustrated for an example in which a Duffing-type oscillator is strongly coupled with a special two-dimensional system. Numerical simulations are given to demonstrate the theoretical results.
reviewed by: Kazuyuki Yagasaki
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 37C29
Mathematics Subject Classification ID: 34E10
Mathematics Subject Classification ID: 34C15
zbMATH DE Number: 2101833
zbMATH Keywords: homoclinic orbit
zbMATH Keywords: Silnikov orbit
zbMATH Keywords: Melnikov method
zbMATH Keywords: Duffing system
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2101833