HelmutKnaust: 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,..."

2013-10-09T14:05:23Z

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,..."

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* [http://helmut.knaust.info/class/200910_2326/Lorenzb.html The Lorenz equation] is a non-linear system of three differential equations: \[x'=\sigma (y-x), y'=\rho x -y -x z, z'=-\beta z + x y.\] The constants are chosen as follows: \[\sigma=10, \rho=28, \beta=8/3.\] [http://helmut.knaust.info/class/200910_2326/Lorenzp2.html 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.

Demonstration: Lorenz Equation - Revision history

HelmutKnaust: 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,..."