Analysis of periodic solutions of a continuous dynamical system with delay and pumping
type: Item
instance of: scholarly article
title: Analysis of periodic solutions of a continuous dynamical system with delay and pumping
zbMATH Open document ID: 1185.34097
DOI: 10.1134/S0012266109020037
author: A. A. Seslavin
published in: Differential Equations
publication date: 2009-10-08T00:00:00Z
review text: The authors study the periodic solutions of a continuous dynamical system with delay and pumping. Pumping is defined as the instant changes in phase coordinates in the system under certain conditions. The authors study the equation \[ x'(t)=-k x(t-1) \] with \(0 \leq t < \infty\) and \(x(t)=0 \Longrightarrow x(t^{+})=1\). The authors find all one-piece periodic solutions of the dynamical system. The suggested method involves the Euler Laplace integral transform.
reviewed by: Seenith Sivasundaram
Mathematics Subject Classification ID: 34K13
zbMATH DE Number: 5611132
zbMATH Keywords: periodic solutions
zbMATH Keywords: delay
zbMATH Keywords: pumping
zbMATH Keywords: Laplace integral transform
MaRDI profile type: Publication
cites work: Q5690029
cites work: The simplest discrete system with relaxation
full work available at URL: s0012266109020037
OpenAlex ID: W1997230017
description: scientific article; zbMATH DE number 5611132