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Math Help - Flow in the Plane

  1. #1
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    Oct 2010
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    Flow in the Plane

    Hello,

    i want to describe the flow of any linear vector field X in \mathbb{R}^2 with X=X^t.

    Therefore our Matrix and vector field X has the form:
    X=(a,b)
    (b,c)

    how can i describe all flows? X is diagonalizable. Does it make a difference if i assume that X is in diagonal form?
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  2. #2
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    Oct 2010
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    Ok i have compute, that the integral curves of a diagonal matrix have a special form.

    But are these integral curves the same for any matrix, which can be diagonalized?

    please, i need help!
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