10044
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Trajectory of a Point in an Iterated Torus Map
Successive points are obtained by starting with the {x,y} coordinates of the locator, then iteratively applying the transformation Mod[{{a,b},{c,d}}.{x,y},1].
Contributed by:
Stephen Wolfram
THINGS TO TRY
Drag Locators
Slider Zoom
SNAPSHOTS
RELATED LINKS
Higher-dimensional generalizations [of iterated maps]
(
NKS|Online
)
PERMANENT CITATION
"
Trajectory of a Point in an Iterated Torus Map
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/TrajectoryOfAPointInAnIteratedTorusMap/
Contributed by:
Stephen Wolfram
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
Integer Torus Maps
Stephen Wolfram
Integer Torus Maps Applied to Letterforms
Stephen Wolfram
State Transition Graphs for Integer Torus Maps
Stephen Wolfram
Iterates of the Logistic Map in 3D
Stephen Wolfram
Cellular Automata as Mappings
Stephen Wolfram
Sensitive Dependence in Iterated Maps
Stephen Wolfram
Cellular Automaton State Transition Diagrams
Stephen Wolfram
Trajectories of the Logistic Map
Michael Trott
Percolation on a Square Grid
Stephen Wolfram
Discrete Reaction-Diffusion
Stephen Wolfram
Related Topics
Chaos Theory
Discrete Models
Dynamical Systems Theory
Statistical Mechanics
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+