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Math Help - for a 2x2 matrix A, how do i classify the system given by X_n+1 = AX_n

  1. #1
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    Question for a 2x2 matrix A, how do i classify the system given by X_n+1 = AX_n

    for a 2x2 matrix how do i decide if the origin is: (attractor, repellor, saddle, stable focus, unstable focus, or a center)?

    can you give examples?
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  2. #2
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    Re: for a 2x2 matrix A, how do i classify the system given by X_n+1 = AX_n

    Look at the eigenvalue of A. Are they real or non-real complex? Are the real parts positive or negative?
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  3. #3
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    Re: for a 2x2 matrix A, how do i classify the system given by X_n+1 = AX_n

    i know how to find real/complex eigenvalues and determine if the real part is +ve or -ve, but "which condition tells me what type of origin it is?"
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