Basin boundaries with fractal and smooth accumulation properties in systems with single potential well
type: Item
instance of: scholarly article
title: Basin boundaries with fractal and smooth accumulation properties in systems with single potential well
zbMATH Open document ID: 0989.37044
DOI: 10.1016/S0960-0779(97)00080-5
author: M. S. Soliman
published in: Chaos, Solitons and Fractals
publication date: 2000-02-15T00:00:00Z
review text: Simulation of the equation \(\ddot{x}_\beta x +(1+F\sin\omega t)(x+x^3)=0.1 F\sin(\omega t)\) are discussed related with a bifurcation of passing two periodic solutions through saddle-node one that can lead to the complexification of a basin boundary of one periodic solution in dependence on the presence of homo- or heteroclinic solution for another periodic solution.
Mathematics Subject Classification ID: 37G10
Mathematics Subject Classification ID: 37J05
zbMATH DE Number: 1370434
zbMATH Keywords: basin boundary
zbMATH Keywords: saddle-node
zbMATH Keywords: bifurcation
zbMATH Keywords: simulation
zbMATH Keywords: periodic solutions
zbMATH Keywords: homo- or heteroclinic solution
reviewed by: L. M. Lerman
MaRDI profile type: Publication
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full work available at URL: s0960-0779(97)00080-5
OpenAlex ID: W2068198567
description: scientific article; zbMATH DE number 1370434