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Browsing by Author "Chang, HM"

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    Piecewise two-dimensional maps and applications to cellular neural networks
    (2004-07-01)
    Chang, HM
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    Juang, J
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    應用數學系
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    Department of Applied Mathematics
    Of concern is a two-dimensional map T of the form T(x, y) = (y, F(y) - bx). Here F is a three-piece linear map. In this paper, we first prove a theorem which states that a semiconjugate condition for T implies the existence of Smale horseshoe. Second, the theorem is applied to show the spatial chaos of one-dimensional Cellular Neural Networks. We improve a result of Hsu [2000].