Fourteen limit cycles in a cubic Hamiltonian system with nine-order perturbed term.
type: Item
instance of: scholarly article
title: Fourteen limit cycles in a cubic Hamiltonian system with nine-order perturbed term.
zbMATH Open document ID: 1056.34046
DOI: 10.1016/S0960-0779(02)00049-8
author: Xiaochun Hong
author: Min-Ying Tang
published in: Chaos, Solitons and Fractals
publication date: 2004-01-14T00:00:00Z
review text: The authors study perturbed cubic Hamiltonian systems. In particular, using the detection function method, they show that such a nine-order perturbed system can have fourteen limit cycles. The position of these fourteen limit cycles are given by numerical exploration.
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 37G15
zbMATH DE Number: 2026975
zbMATH Keywords: perturbed cubic Hamiltonian system
zbMATH Keywords: limit cycle
reviewed by: Valery A. Gaiko
MaRDI profile type: Publication
cites work: Q3715459
cites work: Q3701788
cites work: Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system
cites work: Q4887666
cites work: Bifurcation set and distribution of limit cycles for a class of cubic Hamiltonian system with higher-order perturbed terms
cites work: Dynamics: numerical explorations. Accompanying computer program Dynamics 2. Coauthored by Brian R. Hunt and Eric J. Kostelich. With 3 1/2'' DOS Diskette.
full work available at URL: s0960-0779(02)00049-8
OpenAlex ID: W2030952470
description: scientific article; zbMATH DE number 2026975