-
通过在蔡氏电路的耦合电阻支路中串联一个电感，采用压控忆阻替换蔡氏电路中的蔡氏二极管，提出了一种新颖的五阶压控忆阻蔡氏混沌电路.建立该电路的数学模型，从理论上分析了平衡点及其稳定性的演化过程.特别地，该电路在给定参数下只有一个不稳定的零平衡点，却形成了混沌与周期的非对称吸引子共存的吸引盆，意味着双稳定性的存在.进而利用数值仿真与PSIM电路仿真着重研究了本文电路在不同初始状态下产生的双稳定性现象及其形成机理.PSIM电路仿真结果与数值仿真结果一致，较好地验证了理论分析.借助分岔图、李雅普诺夫指数、相轨图和吸引盆进一步深入探讨了归一化五阶压控忆阻蔡氏系统依赖于系统初始条件的动力学行为.结果表明，该忆阻蔡氏系统在不同的初始条件下能够呈现出混沌吸引子与周期极限环共存的双稳定性现象.
[1] Chua L O 1971 IEEE Trans. Circuit Theory 18 507
[2] Strukov D B, Snider G S, Stewart D R, Williams R S 2008 Nature 453 80
[3] Kim H, Sah M P, Yang C, Cho S, Chua L O 2012 IEEE Trans. Circuits Syst. I: Regular Papers 59 2422
[4] Yu D S, Iu H H C, Fitch A L, Liang Y 2014 IEEE Trans. Circuits Syst. I: Regular Papers 61 2888
[5] Sánchez-López C, Mendoza-López J, Carrasco-Aguilar M A, Muñiz-Montero C 2014 IEEE Trans. Circuits Syst. Ⅱ: Express Briefs 61 309
[6] Yang C, Choi H, Park S, Sah M P, Kim H, Chua L O 2015 Semicond. Sci. Technol. 30 015007
[7] Yu D S, Zheng C Y, Iu H H C, Fernando T, Chua L O 2017 IEEE Access 5 1284
[8] Corinto F, Ascoli A 2012 Electron. Lett. 48 824
[9] Bao B C, Yu J J, Hu F W, Liu Z 2014 Int. J. Bifurcation Chaos 24 1450143
[10] Wu H G, Bao B C, Liu Z, Xu Q, Jiang P 2016 Nonlinear Dyn. 83 893
[11] Xu Q, Lin Y, Bao B C, Chen M 2016 Chaos, Solitons Fractals 83 186
[12] Bao B C, Wang N, Xu Q, Wu H G, Hu Y H 2017 IEEE Trans. Circuits Syst. Ⅱ: Express Briefs 64 977
[13] Xu Q, Zhang Q L, Bao B C, Hu Y H 2017 IEEE Access 5 21039
[14] Chen M, Yu J J, Bao B C 2015 Electron. Lett. 51 462
[15] Chen M, Li M Y, Yu Q, Bao B C, Xu Q, Wang J 2015 Nonlinear Dyn. 81 215
[16] Bao B C, Hu F W, Liu Z, Xu J P 2014 Chin. Phys. B 23 070503
[17] Bao B C, Jiang P, Wu H G, Hu F W 2015 Nonlinear Dyn. 79 2333
[18] Fitch A L, Yu D S, Iu H H C, Sreeram V 2012 Int. J. Bifurcation Chaos 22 1250133
[19] Bao B C, Ma Z H, Xu J P, Liu Z, Xu Q 2011 Int. J. Bifurcation Chaos 21 2629
[20] Li Q D, Zeng H Z, Li J 2015 Nonlinear Dyn. 79 2295
[21] Zhao Y B, Zhang X Z, Xu J, Guo Y C 2015 Chaos, Solitons Fractals 81 315
[22] Bao B C, Hu F W, Chen M, Xu Q, Yu Y J 2015 Int. J. Bifurcation Chaos 25 1550075
[23] Li C B, Sprott J C 2014 Int. J. Bifurcation Chaos 24 1450034
[24] Li Q D, Zeng H Z, Yang X S 2014 Nonlinear Dyn. 77 255
[25] Wei Z C, Wang R R, Liu A P 2014 Math. Comput. Simulat. 100 13
[26] Bao B C, Wu H G, Xu L, Chen M, Hu W 2018 Int. J. Bifurcation Chaos 28 1850019
[27] Richter H 2008 Chaos, Solitons Fractals 36 559
[28] Kengne J, Tabekoueng Z N, Tamba V K, Negou A N 2015 Chaos 25 103126
[29] Bao H, Wang N, Wu H G, Song Z, Bao B C 2018 IETE Tech. Rev. 6 1
[30] Feudel U 2008 Int. J. Bifurcation Chaos 18 1607
[31] Chen M, Sun M X, Bao B C, Wu H G, Xu Q, Wang J 2018 Nonlinear Dyn. 91 1395
[32] Morfu S, Nofiele B, Marquié P 2007 Phys. Lett. A 367 192
[33] Bao B C, Xu J P, Zhou G H, Ma Z H, Zou L 2011 Chin. Phys. B 20 120502
[34] Chua L O 2012 Proc. IEEE 100 1920
[35] Ma J, Chen Z Q, Wang Z L, Zhang Q 2015 Nonlinear Dyn. 81 1275
[36] Bao B C, Jiang T, Xu Q, Chen M, Wu H G, Hu Y H 2016 Nonlinear Dyn. 86 1711
[37] Wolf A, Swift J B, Swinney H L, Vastano J A 1985 Physica D 16 285
-
[1] Chua L O 1971 IEEE Trans. Circuit Theory 18 507
[2] Strukov D B, Snider G S, Stewart D R, Williams R S 2008 Nature 453 80
[3] Kim H, Sah M P, Yang C, Cho S, Chua L O 2012 IEEE Trans. Circuits Syst. I: Regular Papers 59 2422
[4] Yu D S, Iu H H C, Fitch A L, Liang Y 2014 IEEE Trans. Circuits Syst. I: Regular Papers 61 2888
[5] Sánchez-López C, Mendoza-López J, Carrasco-Aguilar M A, Muñiz-Montero C 2014 IEEE Trans. Circuits Syst. Ⅱ: Express Briefs 61 309
[6] Yang C, Choi H, Park S, Sah M P, Kim H, Chua L O 2015 Semicond. Sci. Technol. 30 015007
[7] Yu D S, Zheng C Y, Iu H H C, Fernando T, Chua L O 2017 IEEE Access 5 1284
[8] Corinto F, Ascoli A 2012 Electron. Lett. 48 824
[9] Bao B C, Yu J J, Hu F W, Liu Z 2014 Int. J. Bifurcation Chaos 24 1450143
[10] Wu H G, Bao B C, Liu Z, Xu Q, Jiang P 2016 Nonlinear Dyn. 83 893
[11] Xu Q, Lin Y, Bao B C, Chen M 2016 Chaos, Solitons Fractals 83 186
[12] Bao B C, Wang N, Xu Q, Wu H G, Hu Y H 2017 IEEE Trans. Circuits Syst. Ⅱ: Express Briefs 64 977
[13] Xu Q, Zhang Q L, Bao B C, Hu Y H 2017 IEEE Access 5 21039
[14] Chen M, Yu J J, Bao B C 2015 Electron. Lett. 51 462
[15] Chen M, Li M Y, Yu Q, Bao B C, Xu Q, Wang J 2015 Nonlinear Dyn. 81 215
[16] Bao B C, Hu F W, Liu Z, Xu J P 2014 Chin. Phys. B 23 070503
[17] Bao B C, Jiang P, Wu H G, Hu F W 2015 Nonlinear Dyn. 79 2333
[18] Fitch A L, Yu D S, Iu H H C, Sreeram V 2012 Int. J. Bifurcation Chaos 22 1250133
[19] Bao B C, Ma Z H, Xu J P, Liu Z, Xu Q 2011 Int. J. Bifurcation Chaos 21 2629
[20] Li Q D, Zeng H Z, Li J 2015 Nonlinear Dyn. 79 2295
[21] Zhao Y B, Zhang X Z, Xu J, Guo Y C 2015 Chaos, Solitons Fractals 81 315
[22] Bao B C, Hu F W, Chen M, Xu Q, Yu Y J 2015 Int. J. Bifurcation Chaos 25 1550075
[23] Li C B, Sprott J C 2014 Int. J. Bifurcation Chaos 24 1450034
[24] Li Q D, Zeng H Z, Yang X S 2014 Nonlinear Dyn. 77 255
[25] Wei Z C, Wang R R, Liu A P 2014 Math. Comput. Simulat. 100 13
[26] Bao B C, Wu H G, Xu L, Chen M, Hu W 2018 Int. J. Bifurcation Chaos 28 1850019
[27] Richter H 2008 Chaos, Solitons Fractals 36 559
[28] Kengne J, Tabekoueng Z N, Tamba V K, Negou A N 2015 Chaos 25 103126
[29] Bao H, Wang N, Wu H G, Song Z, Bao B C 2018 IETE Tech. Rev. 6 1
[30] Feudel U 2008 Int. J. Bifurcation Chaos 18 1607
[31] Chen M, Sun M X, Bao B C, Wu H G, Xu Q, Wang J 2018 Nonlinear Dyn. 91 1395
[32] Morfu S, Nofiele B, Marquié P 2007 Phys. Lett. A 367 192
[33] Bao B C, Xu J P, Zhou G H, Ma Z H, Zou L 2011 Chin. Phys. B 20 120502
[34] Chua L O 2012 Proc. IEEE 100 1920
[35] Ma J, Chen Z Q, Wang Z L, Zhang Q 2015 Nonlinear Dyn. 81 1275
[36] Bao B C, Jiang T, Xu Q, Chen M, Wu H G, Hu Y H 2016 Nonlinear Dyn. 86 1711
[37] Wolf A, Swift J B, Swinney H L, Vastano J A 1985 Physica D 16 285
| 引用本文: |
|
| Citation: |
|
计量
- 文章访问数: 310
- PDF下载量: 17
- 被引次数: 0
下载: