11471
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
Phase Portrait of Lotka-Volterra Equation
Wusu Ashiribo Senapon and Akanbi Moses Adebowale
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
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+