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However, for most of the cases seen here, the eigenvalue analysis has been carried out for both the kN×kN and k×k matrices. The results agree as expected.
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24
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33646984859
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note
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For initial conditions of spatial period k, the phase plots shown in the figures are for lattices of size 2k. However, the numerical results have been verified for much larger lattices.
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33646988957
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note
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The distribution of eigenvalues as defined in Ref. [24] above, also picks up all the bifurcations seen, as expected.
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