PIECEWISE TWO-DIMENSIONAL MAPS AND APPLICATIONS TO CELLULAR NEURAL NETWORKS
2004 ◽
Vol 14
(07)
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pp. 2223-2228
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Keyword(s):
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].
2000 ◽
Vol 10
(09)
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pp. 2119-2127
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Keyword(s):
2003 ◽
Vol 13
(11)
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pp. 3499-3504
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Keyword(s):
2004 ◽
Vol 14
(08)
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pp. 2655-2665
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2007 ◽
Vol 17
(03)
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pp. 953-963
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Keyword(s):
2006 ◽
Vol 16
(12)
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pp. 3669-3677
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2002 ◽
Vol 12
(03)
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pp. 525-534
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2002 ◽
Vol 12
(12)
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pp. 2957-2966
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1999 ◽
Vol 09
(05)
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pp. 909-918
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1993 ◽
Vol 21
(3)
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pp. 293-297
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