CHAOTIC SYNCHRONIZATION OF FRACTIONAL-ORDER SPATIOTEMPORAL COUPLED LORENZ SYSTEM
2012 ◽
Vol 23
(10)
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pp. 1250067
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Keyword(s):
By utilizing the fractional calculus techniques and spatiotemporal chaos theory, this paper brings Lorenz system to fractional-order spatiotemporal coupled differential equation for the first time, and proposes the fractional-order spatiotemporal coupled Lorenz system. Based on that, we study the problem of chaotic synchronization of fractional-order spatiotemporal coupled Lorenz systems, design the linear controller and nonlinear controller by utilizing the Lyapunov stability theory and prove the correctness in theory. The numerical simulation results demonstrate the validity of controllers in high-dimension fractional-order spatiotemporal coupled Lorenz system.
2013 ◽
Vol 8
(3)
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2011 ◽
Vol 138-139
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pp. 404-409
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2012 ◽
Vol 22
(04)
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pp. 1250088
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Keyword(s):
2015 ◽
Vol 11
(3)
◽
2014 ◽
Vol 602-605
◽
pp. 946-949
2013 ◽
Vol 846-847
◽
pp. 1252-1256
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2009 ◽
Vol 23
(17)
◽
pp. 2167-2178
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2011 ◽
Vol 25
(32)
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pp. 4563-4571
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