# Phase Portrait and Field Directions of Two-Dimensional Linear Systems of ODEs

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This Demonstration plots the phase portrait (or phase plane) and the vector field of directions around the fixed point of the two-dimensional linear system of first-order ordinary differential equations

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Contributed by: Santos Bravo Yuste (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

For more information on phase portraits and types of fixed points for linear systems of ODEs, see, for example:

S. H. Strogatz, *Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering, *Cambridge: Westview Press, 2000.

G. F. Simmons, *Differential Equations with Applications and Historical Notes*, New York: McGraw-Hill, 1991.