A simplified model of coupled relaxation oscillators
type: Item
instance of: scholarly article
title: A simplified model of coupled relaxation oscillators
zbMATH Open document ID: 0614.73024
DOI: 10.1016/0020-7462(87)90020-5
author: Duane Storti
author: Richard Rand
published in: International Journal of Non-Linear Mechanics
publication date: 1987-01-01T00:00:00Z
review text: In this paper we analyze a simplified model of a pair of coupled relaxation oscillators. The simplified model employs a two-dimensional phase space with jump conditions to approximate the behavior in the full four-dimensional phase space. The stability of the phase-locked modes of oscillation for the simplified system is obtained using phase plane techniques and compared to that previously obtained for the full system using asymptotic and numerical methods. It is shown that these results differ qualitatively over a region of the parameter space, and Lyapunov's direct stability method is used to explain this shortcoming of the model.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 70J10
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 37-XX
zbMATH DE Number: 3995152
zbMATH Keywords: Lyapunov direct method
zbMATH Keywords: van der Pol oscillator
zbMATH Keywords: pair of coupled relaxation oscillators
zbMATH Keywords: two-dimensional phase space
zbMATH Keywords: jump conditions
zbMATH Keywords: four-dimensional phase space
zbMATH Keywords: phase-locked modes
zbMATH Keywords: phase plane techniques
MaRDI profile type: Publication
full work available at URL: 0020-7462(87)90020-5
OpenAlex ID: W2018761867
description: scientific article; zbMATH DE number 3995152