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忆阻器作为可调控的非线性元件,很容易实现混沌信号的产生.基于忆阻器的混沌系统是当下研究的热点,但是基于忆阻器的时滞混沌系统目前却鲜有人涉足.因此,本文提出了一个新型忆阻时滞混沌系统.时延的存在增加了系统的复杂性,使系统能够产生更丰富、更复杂的动力学行为.我们对提出的忆阻时滞混沌系统进行了稳定性分析,确定了显示系统稳定平衡点的相应参数区域.讨论了在不同参数情况下的系统状态,系统呈现出形态各异的混沌吸引子相图,表现出丰富的混沌特性和非线性特性.最后,将系统用于产生伪随机序列,并经过实验验证,我们提出的系统具有良好的自相关性和互相关性,同时能获得相对显著的近似熵.该时滞混沌系统具有复杂的动力学行为和良好的随机性,能满足扩频通信和图像加密等众多领域的应用需要.
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[17] Yang Y F, Leng J L, Li Q D 2014 Acta Phys. Sin. 63 080502 (in Chinese)[杨芳艳, 冷家丽, 李清都2014物理学报63 080502]
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[19] Lakshmanan M, Senthilkumar D V 2011 Dynamics of Nonlinear Time-Delay Systems (Springer Science & Business Media Press) pp27-36
[20] Ikeda K, Daido H, Akimoto O 1980 Phys. Rev. Lett. 45 709
[21] Boutle I, Taylor R H S, Römer R A 2007 Am. J. Phys. 75 15
[22] Wu F X 2009 Adv. Complex Syst. 12 3
[23] Liao X X, Chen G R 2003 Int. J. Bifurcat. Chaos 13 207
[24] Lu J Q, Cao J D, Ho D W C 2008 IEEE Trans. Circuits Syst. I, Reg. Papers 55 1347
[25] Zhang X M, Chen J F, Peng J H 2011 Int. J. Bifurcat. Chaos 21 2547
[26] Guan G R, Wu C M, Jia Q 2015 Acta Phys. Sin. 64 020501 (in Chinese)[官国荣, 吴成茂, 贾倩2015物理学报64 020501]
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[1] Chua L O 1971 IEEE Trans. Circ. Theor. 18 507
[2] Strukov D B, Snider G S, Stewart D R, Williams R S 2008 Nature 453 80
[3] Corinto F, Ascoli A, Gilli M 2011 IEEE Trans. Circuits Syst. I, Reg. Papers. 58 1323
[4] Jo S H, Chang T, Ebong I, Bhadviya B B, Mazumder P, Lu W 2010 Nano Lett. 10 1297
[5] Yang J J, Pickett M D, Li X, Ohlberg D A, Stewart D R, Williams R S 2008 Nat. Nanotech. 3 429
[6] Wang L D, Li H F, Duan S K, Huang T W, Wang H M 2016 Neurocomputing 171 23
[7] Sah M P, Yang C, Kim H, Chua L 2012 Sensors 12 3587
[8] Hu X F, Chen G R, Duan S K, Feng G 2014 In Memristor Networks (Springer International Publishing) pp351-364
[9] Itoh M, Chua L O 2008 Int. J. Bifurcat. Chaos 18 3183
[10] Muthuswamy B, Kokate P P 2009 IETE Tech. Rev. 26 417
[11] Bao B C, Liu Z, Xu J P 2010 Electron. Lett. 46 228
[12] Min G Q, Wang L D, Duan S K 2015 Acta Phys. Sin. 64 210507 (in Chinese)[闵国旗, 王丽丹, 段书凯2015物理学报64 210507]
[13] Stork M, Hrusak J, Mayer D 2009 International Conference on Electrical and Electronics Engineering, 2009 ELECO Bursa, Turkey, November 5-8, 2009 pp58-60
[14] Wang L D, Drakakis E, Duan S K, He P F, Liao X F 2012 Int. J. Bifurcat. Chaos 22 1250205
[15] Li H F, Wang L D, Duan S K 2014 Int. J. Bifurcat. Chaos 24 1450099
[16] Cafagna D, Grassi G 2012 Nonlinear Dyn. 70 1185
[17] Yang Y F, Leng J L, Li Q D 2014 Acta Phys. Sin. 63 080502 (in Chinese)[杨芳艳, 冷家丽, 李清都2014物理学报63 080502]
[18] Mackey M C, Glass L 1977 Science 197 287
[19] Lakshmanan M, Senthilkumar D V 2011 Dynamics of Nonlinear Time-Delay Systems (Springer Science & Business Media Press) pp27-36
[20] Ikeda K, Daido H, Akimoto O 1980 Phys. Rev. Lett. 45 709
[21] Boutle I, Taylor R H S, Römer R A 2007 Am. J. Phys. 75 15
[22] Wu F X 2009 Adv. Complex Syst. 12 3
[23] Liao X X, Chen G R 2003 Int. J. Bifurcat. Chaos 13 207
[24] Lu J Q, Cao J D, Ho D W C 2008 IEEE Trans. Circuits Syst. I, Reg. Papers 55 1347
[25] Zhang X M, Chen J F, Peng J H 2011 Int. J. Bifurcat. Chaos 21 2547
[26] Guan G R, Wu C M, Jia Q 2015 Acta Phys. Sin. 64 020501 (in Chinese)[官国荣, 吴成茂, 贾倩2015物理学报64 020501]
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