论文信息 - A Fractional-Order Memristive System with Time-Delay and No Equilibrium Points

A Fractional-Order Memristive System with Time-Delay and No Equilibrium Points

A fractional-order delayed memristive chaotic system is presented in this paper. Abundant dynamic behaviors of the designed fractional-order delayed memristive circuit were investigated by numerical simulation. Specially, Through the analysis of the stability of the system, we found this fractional-order delayed memristive system can generate chaotic attractors although it possesses no equilibrium point.

Jie Qiu | Xin Qian | DaWei Ding | Yecui Weng

[1] Kehar Singh,et al. Image encryption using fractional Mellin transform, structured phase filters, and phase retrieval , 2014 .

[2] Shukai Duan,et al. Modeling affections with memristor-based associative memory neural networks , 2017, Neurocomputing.

[3] Yi Xiang,et al. Synchronization of memristor-based fractional-order neural networks with time-varying delays via pinning and adaptive control , 2017, 2017 International Workshop on Complex Systems and Networks (IWCSN).

[4] Ning Li,et al. Finite-time synchronization criteria for delayed memristor-based neural networks , 2016, 2016 35th Chinese Control Conference (CCC).

[5] Ahmed Gomaa Radwan,et al. On the analysis of current-controlled fractional-order memristor emulator , 2017, 2017 6th International Conference on Modern Circuits and Systems Technologies (MOCAST).

[6] Leon O. Chua,et al. The Fourth Element , 2012, Proceedings of the IEEE.

[7] L. Chua. Memristor-The missing circuit element , 1971 .

[8] K. B. Oldham,et al. The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order , 1974 .

[9] Christos Volos,et al. A novel memristive neural network with hidden attractors and its circuitry implementation , 2015, Science China Technological Sciences.