Research on a simple parallel chaotic system of memory elements

Xiaoxia LI; Xue WANG; Zhixin FENG; Qiyu ZHANG; Guizhi XU

doi:10.3969/j.issn.1007-5461. 2021.04.014

[1] Ou L Q, Xu L B, Guo Z Y, et al. Five order MCK chaotic circuit based on memristor[J]. Chinese Journal of Quantum Electronics, 2016, 33(1): 56-62.

[2] Chua L O. Memristor-The missing circuit element[J]. IEEE Transaction on Circuit Theory, 1971, 18(5): 507-519.

[3] Strukov D B, Snider G S, Stewart D R, et al. The missing memristor found[J]. Nature, 2008, 453(7191): 80-83.

[4] Ventra M D, Pershin Y V, Chua L O. Circuit elements with memory: Memristors, memcapacitors, and meminductors[J]. Proceedings of the IEEE, 2009, 97(10): 1717-1724.

[5] Yin Z Y, Tian H, Chen G H, et al. What are memristor, memcapacitor, and meminductor?[J]. IEEE Transactions on Circuits and Systems II: Express Briefs, 2015, 62(4): 402-406.

[6] Wu H A, Bao B C, Liu Z, et al. Chaotic and periodic bursting phenomena in a memristive Wien-bridge oscillator[J]. Nonlinear Dynamics, 2016, 83(1-2): 893-903.

[7] Chang H, Li Y, Yuan F, et al. Extreme multistability with hidden attractors in a simplest memristor-based circuit[J]. International Journal of Bifurcation and Chaos, 2019, 29(6): 1950086.

[8] Chang H, Wang Z, Li Y, et al. Dynamic analysis of a bistable bi-local active memristor and its associated oscillator system[J]. International Journal of Bifurcation and Chaos, 2018, 28(8): 1850105.

[9] Bao H, Park J H, Cao J. Synchronization of fractional-order complex-valued neural networks with time delay[J]. Nonlinear Dynamics, 2016, 81: 16-28.

[10] Bao H, Cao J, Kurths J. State estimation of fractional-order delayed memristive neural networks[J]. Nonlinear Dynamics, 2018, 94(2): 1215-1225.

[11] Bao H, Cao J, Kurths J, et al. H-infinity state estimation of stochastic memristor-based neural networks with time-varying delays[J]. Neural Networks, 2018, 99: 79-91.

[12] Xu N, Jean Y K, Min K K, et al. Fully functional logic-in-memory operations based on a reconfigurable finite-state machine using a single memristor[J]. Advanced Electronic Materials, 2018, 4: 1800189.

[13] Amirsoleimani A, Ahmadi M, Ahmadi A. Logic design on mirrored memristive crossbars[J]. IEEE Transactions on Circuits & Systems II: Express Briefs, 2018, 65(99): 1688-1692.

[14] Sungju C, Seohyeon K, Jungkyu J, et al. Implementing an artificial synapse and neuron using a Si nanowire ion-sensitive field-effect transistor and indium-gallium-zinc-oxide memristors[J]. Sensors and Actuators B: Chemical, 2019, 296(1): 126616.

[15] Hu S G, Qiao G C, Liu Y A, et al. An improved memristor model connecting plastic synapse and nonlinear spiking neuron[J]. Journal of Physics D: Applied Physics, 2019, 52: 319601.

[16] Guo J B, Wang Y C, Zhou L Y. Double image encrypyion algorithm based on discrete fractional angle transform and associated chaotic map[J]. Chinese Journal of Quantum Electronics, 2017, 34(4): 420-431.

[17] Wang L, Dong T, Ge M F. Finite-time synchronization of memristor chaotic systems and its application in image encryption[J]. Applied Mathematics and Computation, 2019, 347: 293-305.

[18] Wu Z Y, Gu M Y, Li F P. A meminductor chaotic system with hidden and coexisting attractors[J]. Journal of Hangzhou Dianzi University (Natural Sciences), 2019, 39(4): 6-11.

[19] Fang Y, Yue D, Li Y, et al. The amplitude, frequency and parameter space boosting in a memristor-meminductor-based circuit[J]. Nonlinear Dynamics, 2019, 96: 389-405.

[20] Petras I. Fractional-order memristor-based Chua’s circuit[J]. IEEE Transactions on Circuits and Systems II: Express Briefs, 2011, 57(12): 975-979.

[21] Xu B R. A simplest parallel chaotic system of memristor[J]. Acta Physica Sinica, 2013, 62(19): 190506.

[22] Xu B, Wang G, Shen Y. A simple meminductor-based chaotic system with complicated dynamics[J]. Nonlinear Dynamics, 2017, 88(3): 2071-2089.

[23] Xu B, Wang G, Ho-Ching H, et al. A memristor-meminductor-based chaotic system with abundant dynamical behaviors[J]. Nonlinear Dynamics, 2019, 96: 765-788.

[24] Wang X Y, Yu J, Wang G Y. Simulink modeling of memristor, memcapacitor, meminductor and their characteristics analysis[J]. Acta Physica Sinica, 2018, 67(9): 098501.

[25] Ruan J Y, Sun K H, Mou J. Memristor-based Lorenz hyper-chaotic system and its circuit implementation[J]. Acta Physica Sinica, 2016, 65(19): 190502.