GENERATING 3-D SCROLL GRID ATTRACTORS OF FRACTIONAL DIFFERENTIAL SYSTEMS VIA STAIR FUNCTION
2007 ◽
Vol 17
(11)
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pp. 3965-3983
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Keyword(s):
The One
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This paper discusses the stair function approach for the generation of scroll grid attractors of fractional differential systems. The one-directional (1-D) n-grid scroll, two-directional (2-D) (n × m)-grid scroll and three-directional (3-D) (n × m × l)-grid scroll attractors are created from a fractional linear autonomous system with a simple stair function controller. Being similar to the scroll grid attractors of classical differential systems, the scrolls of 1-D n-grid scroll, 2-D (n × m)-grid scroll and 3-D (n × m × l)-grid scroll attractors are located around the equilibria of fractional differential system on a line, on a plane or in 3D, respectively and the number of scrolls is equal to the corresponding number of equilibria.
2011 ◽
Vol 2011
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pp. 1-12
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2010 ◽
Vol 2010
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pp. 1-9
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2021 ◽
pp. 24-29
2020 ◽
Vol 23
(2)
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pp. 553-570
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2011 ◽
Vol 62
(3)
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pp. 1451-1459
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