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November | 2009 | Differential Equations Homework
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Just another WordPress.com weblog. Archive for November, 2009. System of Linear Equations. November 5, 2009. The following Mathematica code was entered:. Needs[“VectorFieldPlots`”];. A1 = VectorFieldPlot[{2*x y, x y}, {x, -1, 1}, {y, -1, 1},. PlotPoints - 20, ScaleFactor - 0.2, Axes - True];. A2 = Plot[-x*(1 Sqrt[5])/2, {x, -1, 1}];. A3 = Plot[x*(-1 Sqrt[5])/2, {x, -1.5, 1.5}];. Show[A1, A2, A3]. It produced the graph:. Needs[“VectorFieldPlots`”];. M = { RandomInteger[{-u, u}],. RandomInteger[{-u, u}]} ;.
System of Linear Equations | Differential Equations Homework
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Just another WordPress.com weblog. Laquo; Project 1: Chaos In Dynamical Systems. System of Linear Equations #2. System of Linear Equations. The following Mathematica code was entered:. Needs[“VectorFieldPlots`”];. A1 = VectorFieldPlot[{2*x y, x y}, {x, -1, 1}, {y, -1, 1},. PlotPoints - 20, ScaleFactor - 0.2, Axes - True];. A2 = Plot[-x*(1 Sqrt[5])/2, {x, -1, 1}];. A3 = Plot[x*(-1 Sqrt[5])/2, {x, -1.5, 1.5}];. Show[A1, A2, A3]. It produced the graph:. Needs[“VectorFieldPlots`”];. RandomInteger[{-u, u}]} ;.
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Homework #3 | Differential Equations Homework
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Just another WordPress.com weblog. Laquo; Homework #2. Project 1: Chaos In Dynamical Systems. This entry was posted on September 24, 2009 at 5:16 pm and is filed under Uncategorized. You can follow any responses to this entry through the RSS 2.0. Feed You can leave a response. From your own site. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Address never made public). You are commenting using your WordPress.com account. ( Log Out.
Project 1: Chaos In Dynamical Systems | Differential Equations Homework
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Just another WordPress.com weblog. Laquo; Homework #3. System of Linear Equations. Project 1: Chaos In Dynamical Systems. One example of chaos in dynamical systems is the Lorenz oscillator. “The Lorenz oscillator is a 3-dimensional dynamical system that exhibits chaotic flow, noted for its lemniscate shape.”. The Lorenz attractor is a famous set of differential equations that fallows the Lorenz oscillator’s chaotic flow. The three differential equations that make up the Lorenz attractor are:. Notice how ...
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Differential Equations Homework | Just another WordPress.com weblog
Just another WordPress.com weblog. System of Linear Equations #2. December 1, 2009. Using “System of Linear Equations #1” we are now taking Eigenvalues as real numbers with specific solutions. We inserted the fallowing code in Mathematica to display the system of linear equations on a graph:. Needs[“VectorFieldPlots`”];. V = VectorFieldPlot[M.{x, y}, {x, -1, 1}, {y, -1, 1}, Axes - True]. Eigen = Eigenvectors[M];. A = eigen[ 1] [ 1]. B = eigen[ 2] [ 1]. Show[{V, A, B}]. To find the Eigenvalues:. Examples ...
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