One-Dimensional Systems

  • David Betounes


The general system of differential equations x’ = X (t, x) reduces considerably in complexity for n = 1, i.e., x ∈ ℝ. Then X is a (time-dependent) vector field on the line ℝ and the geometry of this space is as simple as possible. In this chapter we take advantage of this simplicity to look at additional techniques that are available in one dimension.


Integral Curve Level Curve Integral Curf Maximum Interval Level Curf 
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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • David Betounes
    • 1
  1. 1.Mathematics DepartmentUniversity of Southern MississippiHattiesburgUSA

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