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2013-01-20 22:54:50 +0100 | marked best answer | Animation example from matplotlib.org does not work. I posted this answer in sage-support, but for completeness, I'll post it here as well. The following works for me: |

2013-01-17 13:10:25 +0100 | asked a question | Animation example from matplotlib.org does not work. I'm trying to run thisexample from matplotlib.org. I downloaded the source code and ran:
The file, foo.png, contained an empty Cartesian plane. I also typed in the code verbatim into the Sage interpreter and had the same results. I am running |

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2012-10-17 13:57:51 +0100 | commented answer | Publishing worksheets in Wordpress, Blogger... Could you give a bit more detail in this answer, please? |

2012-10-15 13:00:18 +0100 | commented answer | Phase portraits of 2-dimensional systems How can I restrict the max/min values in the solutions? Is there a uniform way to do this or restrict the axes' range (e.g., force the plot onto [-2,2]x[-2,2] ) |

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2012-10-15 00:48:00 +0100 | marked best answer | Phase portraits of 2-dimensional systems Every click in the obtained field gives you a new trajectory Precise coordinates of an initial point can be provided in plot setup New x y coordinates + Enter adds a new trajectory |

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2012-10-15 00:20:50 +0100 | commented answer | Phase portraits of 2-dimensional systems @calc314: could you describe what happens when you enter the above code? |

2012-10-14 15:02:40 +0100 | asked a question | Phase portraits of 2-dimensional systems I'm trying to plot solutions to two dimensional ordinary differential equations. I found that Sage makes it easy to plot a vector field and, using However, this method I'm using seems to be quite ad hoc, as I have to choose the right initial conditions and time span / know a lot about my system in order to plot a nice picture. Let's make this more concrete: Say I want to draw a nice phase portrait for $\dot{x} = -y$ $\dot{y} = -x$ First I generate the vector field: Then I use This generates the following picture: But if I change run the system for one more unit of time (set This makes sense, of course, because the magnitude of the vectors along $y=-x$ get big as you get further away from the origin. Similarly, the trajectory along $y=x$ has trouble getting to the origin because the magnitude of those vectors get very small. Which all makes me think there's a better way to do this. Thoughts? |

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