Advertisement

Two-Dimensional Differential Equations

  • Daniel Kaplan
  • Leon Glass
Part of the Texts in Applied Mathematics book series (volume 19)

Abstract

In the previous chapter we studied differential equations in which quantities increased or decreased in a monotonic fashion, reaching a fixed point as time increased. We know that in the real world quantities can also oscillate up and down in a regular or irregular fashion. The one-dimensional differential equations in the previous chapter, which have a single variable and a first derivative, cannot produce oscillation. In this chapter we consider differential equations with either a pair of variables and their first derivatives, or a single variable and its first and second derivatives. These two classes of problems are equivalent and are called second-order or two-dimensional ordinary differential equations.

Keywords

Saddle Point Phase Plane Nonlinear Differential Equation Convex Polyhedron Stable Node 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Daniel Kaplan
    • 1
  • Leon Glass
    • 1
  1. 1.Department of PhysiologyMcGill UniversityMontréalCanada

Personalised recommendations