Almost local stability in discrete delayed chaotic systems

作者：Nategh Mehdi^*; Baleanu Dumitru; Taghizadeh Elham; Gilani Zahra Goli

来源：Nonlinear Dynamics, 2017, 89(4): 2393-2402.

DOI：10.1007/s11071-017-3592-0

• Delay difference equations
• Non-autonomous discrete systems
• Chaos control
• Almost local stability
• Logistic map
• Gaussian map
• Measure preserving systems

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.

• 出版日期2017-9