10854
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Eigenvalues and Linear Phase Portraits
This shows the phase portrait of a
linear differential system along with a plot of the eigenvalues of the system matrix in the complex plane.
Contributed by:
Selwyn Hollis
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
Sliders allow manipulation of the matrix entries over
. By viewing simultaneously the phase portrait and the eigenvalue plot, one can easily and directly associate phase portrait bifurcations with changes in the character of the eigenvalues.
RELATED LINKS
Eigenvalue
(
Wolfram
MathWorld
)
Phase Portrait
(
Wolfram
MathWorld
)
PERMANENT CITATION
Selwyn Hollis
"
Eigenvalues and Linear Phase Portraits
"
http://demonstrations.wolfram.com/EigenvaluesAndLinearPhasePortraits/
Wolfram Demonstrations Project
Published: March 22, 2010
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Phase Portraits, Eigenvectors, and Eigenvalues
Stephen Wilkerson and Stanley Florkowski
Phase Portrait and Field Directions of Two-Dimensional Linear Systems of ODEs
Santos Bravo Yuste
Eigenfunctions and Eigenvalues of the Airy Equation Using Spectral Methods
Housam Binous, Brian G. Higgins, and Ahmed Bellagi
Using Eigenvalues to Solve a First-Order System of Two Coupled Differential Equations
Stephen Wilkerson
Matrix Solutions to Airy's Eigenvalue Problem
Muthuraman Chidambaram
Homogeneous System of Three Coupled, First-Order, Linear Differential Equations
Stephen Wilkerson
Phase Space of an Intermittently Driven Oscillator
Manu P. John and V. M. Nandakumaran
Two-Dimensional Linear Systems
Mark McClure
Phase Plane Plot of the Van der Pol Differential Equation
Nasser M. Abbasi
Phase Space Trajectories of a 1D Anharmonic Oscillator
Michael Trott
Related Topics
Differential Equations
Dynamical Systems Theory
Linear Algebra
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+