
3105SFrequencyResponse
22 Jul 2020   Contributor(s):: Brian Winkel
We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.

2013Idlango, Majda  Differential Equation Population Models in a Slowly Varying Environment. PhD Thesis.
12 Sep 2017   Contributor(s):: Brian Winkel
Idlango, Majda. 2013. Differential Equation Population Models in a Slowly Varying Environment. PhD Thesis. 181 pp.Summary: Many investigations have been carried out that analyse population dynamics using differential equations where the governing parameters of the models concerned are...

2011Harwood, Kenny  Modeling a RLC Circuit's Current with Differential Equations
12 Sep 2017   Contributor(s):: Brian Winkel
Harwood, Kenny. 2011. Modeling a RLC Circuit’s Current with Differential Equations. Paper. 17 pp.Abstract The world of electricity and light have only within the past century been explained in mathematical terms yet still remain a mystery to the human race. R. Buckminster Fuller said;...

2017Morin, David  Oscillations  Notes
11 Sep 2017   Contributor(s):: Brian Winkel
Morin, David. Oscillations. http://www.people.fas.harvard.edu/~djmorin/waves/oscillations.pdf . Accessed 11 September 2017. Notes. 37 pp.From the first page“A wave is a correlated collection of oscillations. For example, in a transverse wave traveling along a string, each point in...

2016deBoer, Rob J.  Population Dynamics: A Graphical Approach  Text
06 Sep 2017   Contributor(s):: Brian Winkel
deBoer, Rob J. 2016 .Modeling Population Dynamics: A Graphical Approach. http://tbb.bio.uu.nl/rdb/books/mpd.pdf . Accessed 6 September 2017. 193 pp.From the Preface,“This book is an introduction into modeling population dynamics in ecology. Because there are several good...

2017Kandry Keith and Brian Winkel  Modeling in an Engineering Mathematics Class  Tuned Mass Dampers
04 Mar 2017   Contributor(s):: Keith Alan Landry, Brian Winkel
This talk was presented at the AMS Special Session on the Modeling First Approach to Teaching Differential Equations at the Joint Mathematics Meetings, 7 January 2017, Atlanta GA USA.This talk discusses how a structural engineering construct, Tuned Mass Dampers, is introduced in a...

2001Tsoularis, A.  Analysis of logistic growth models
20 Jun 2015   Contributor(s):: A. Tsoularis
Tsoularis, A. 2001. Analysis of logistic growth models. Research Letters in the Information and Mathematical Sciences. 2:2346. See http://mro.massey.ac.nz/handle/10179/4341 .Article Abstract: A variety of growth curves have been ...

2008Landry, Keith and Brian Winkel  Peak Frequency Responses and Tuned Mass Dampers  Exciting Applications of Systems of Differential Equations
31 May 2015   Contributor(s):: Keith Alan Landry, Brian Winkel
From Landry, Keith and Brian Winkel. 2008. PeakFrequency Responses and Tuned Mass Dampers—Exciting Applications of Systems ofDifferential Equations. The UMAP Journal 29(1): 1530.We present two applications of systems of ordinary differential equations concerning...