Demonstration: Lorenz Equation
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HelmutKnaust (Talk | contribs) (Created page with "* [http://helmut.knaust.info/class/200910_2326/Lorenzb.html The Lorenz equation] is a non-linear system of three differential equations: \[x'=\sigma (y-x), y'=\rho x -y -x z,...") |
Latest revision as of 09:05, 9 October 2013
- The Lorenz equation is a non-linear system of three differential equations: \[x'=\sigma (y-x), y'=\rho x -y -x z, z'=-\beta z + x y.\] The constants are chosen as follows: \[\sigma=10, \rho=28, \beta=8/3.\] This animation illustrates the sensitivity to initial conditions exhibited by solutions to the Lorenz equation: Three solutions (in red, blue, and green, respectively) with nearly identical initial conditions are tracked over time.
