Almost local stability in discrete delayed chaotic systems |
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Authors: | Mehdi Nategh Dumitru Baleanu Elham Taghizadeh Zahra Goli Gilani |
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Affiliation: | 1.Department of Mathematics & Statistics,Missouri S&T,Rolla,US;2.Institute of Space Sciences,Magurele-Bucharest,Romania;3.Department of Mathematics,?ankaya University,Balgat,Turkey;4.Department of Mathematics,University of Mazandran,Babolsar,Iran |
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Abstract: | This work studies dynamic of delayed discrete chaotic systems with bounded and unbounded delays. The time lags appear in additive which is coupled with a smooth function and nonadditive forms. It has been shown that, in both additive and nonadditive cases, the primal (non-delayed) system is neutral to the bounded delay to possess an attractive fixed point. Nevertheless, if a nonadditive and unbounded delay is supposed to affect a chaotic and measure preserving system locally, then the delay function might be sensitive to initial states. A local stabilization to the dynamics of Logistic and Gaussian maps are made and creation of attractive fixed points is illustrated. |
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