
5002SPhasePortraitForRelationshipDynamics
15 Aug 2019   Contributor(s):: Lawrence C Udeigwe
The different possible dynamics of a twoperson romantic relationship are modeled  as a linear two dimensional system of equations  and analyzed. Students are guided to explore how the mathematical model of one relationship type can be obtained by modifying the mathematical model of another....

Two competing populations: simulations with differential equations
01 Mar 2018   Contributor(s):: Hans Rudolf Schneebeli, Claudio Marsan
Abstract: Suppose two populations are competing with each other. How can they then develop? We offer insights with simulation calculations. In the model is the evolution of the biomass of the two populations described with differential equations. A fundamental building block is the logistic...

2012LevermoreOrdinaryDifferentialEquationsGraphical MethodsApplications
01 Dec 2017   Contributor(s):: Brian Winkel
Levermore. David. 21012. FirstOrder Ordinary Differential Equations II: Graphical Methods and Applications. University of Maryland. Notes. 23 pp/5. FirstOrder Equations: General Theory5.1. WellPosed Problems 25.2. Existence and Uniqueness 36. FirstOrder Equations: Graphical Methods6.1....

Hundley Local Linear Analysis of Nonlinear Autonomous DEs
10 Sep 2017   Contributor(s):: Brian Winkel
Hundley, D. Local Linear Analysis of Nonlinear Autonomous DEs. Notes. 4 pp.. http://people.whitman.edu/~hundledr/courses/M244S14/M244/LinearizationNote.pdf .Accessed 10 September 2017.Thorough and very readable material on linearization issues with rich examples (geometric) and...

2002FayThePendulumEquation
08 Sep 2017   Contributor(s):: Brian Winkel
Fay, T. 2001.The Pendulum Equation. Int. J. Math. Educ. Sci. Technology. 33(4): 505519.Abstract:We investigate the pendulum equation q’’(t) + l2 sin(q) = 0 and two approximations for it. On the one hand, we suggest that the third and fifthorder Taylor series...

3004SVanderPol
21 Mar 2017   Contributor(s):: Mark A. Lau Kwan
This paper presents an electronic spreadsheet model of the Van der Pol oscillator, a wellknown nonlinear secondorder ordinary differential equation. The spreadsheet features a number of dynamic controls that permit the user to alter the parameters of the Van der Pol equation and explore the...