Subharmonic solution of a piecewise linear oscillator with two degrees of freedom
type: Item
instance of: scholarly article
title: Subharmonic solution of a piecewise linear oscillator with two degrees of freedom
zbMATH Open document ID: 0606.70024
DOI: 10.1007/BF01900702
author: Zhisheng Jin
author: Yushu Chen
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1986-01-01T00:00:00Z
review text: This paper considering headline's system shows the existence of a series of subharmonic resonance solutions of order 1/2, 1/3, 1/4, 1/5, 1/6,..., then a series of superharmonic ones of order 3,5,7,..., and a primary resonance too. The existence of some subharmonic resonance solutions is verified by an analog computer. Due to the authors a state of the system is called a chaotic state if one applies a sinusoidal forcing to the system and it responds with a continuous power density spectrum. The authors obtained chaotic state in this system ''between'' two adjacent periodic solutions, for example between primary resonance and subharmonic one of order 1/2, between subharmonic resonances of order 1/2 and 1/3, and so on. Several plots made by an analog computer are shown.
Mathematics Subject Classification ID: 70K30
Mathematics Subject Classification ID: 70-08
zbMATH DE Number: 3980573
zbMATH Keywords: piecewise linear oscillator
zbMATH Keywords: subharmonic resonance solutions
zbMATH Keywords: primary resonance
reviewed by: Á. P. Bosznay
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf01900702
OpenAlex ID: W1977468959
description: scientific article; zbMATH DE number 3980573