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Due to the inherent property of the Chua’s circuit, it is difficult to obtain the three state variables directly from the circuit, and the general control method is hard to apply to the circuit. For these chaotic circuits which have energy storage elements, a simple circuit is designed to get the state variables. In addition, an injected feedback method to realize the synchronization is proposed, which can control the circuits with unknown differential variables of the state variables. Two chaotic systems which have different motions are investigated using the symbolic function. All results obtained from the circuits are verified by the effectiveness and feasibility of the above method.
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Keywords:
- Chua’ /
- s circuit /
- injected feedback /
- symbolic function
[1] Takashi M, Leon O C, 1985 Motomasa K IEEE transactions on circuits and systems 32 797
[2] Yu S M 2011 Chaotic Systems and Chaotic Circuits-Principle, Design and its Application in communications (Xian: Xian University Press) (in Chinese) [禹思敏 2011 混沌系统与混沌电路——原理、设计及其在通信中的应用(西安:西安电子科技大学出版社)]
[3] Min F H, Wang Z Q 2008 Acta Phys. Sin. 57 31 (in Chinese) [闵富红, 王执铨 2008 物理学报 57 31]
[4] Xie B L, Zhou Z G, Zhang Z D 2013 Acta Phys. Sin. 62 188702 (in Chinese) [谢柏林, 周志刚, 张正道 2013 物理学报 62 188702]
[5] Hu M F, Xu Z Y 2008 Nonlinear Analysis RWA 9 1253
[6] Zhang H B, Xia J W, Yu Y B, Dang C Y 2010Chin. Phys. B 19 030505
[7] Wang J W, Ma Q H, Zeng L 2011 Chin. Phys. B 20 080506
[8] Hanéne M, Olfa B 2012 Commun Nonlinear Sci Numer Simulat 17 1292
[9] Li J F, Li N, Cai L, Zhang B 2008 Acta Phys. Sin. 57 7500 (in Chinese) [李建芬, 李农, 蔡理, 张斌 2008 物理学报 57 7500]
[10] Fu S H, Pei L J 2010 Acta Phys. Sin. 59 5985 (in Chinese) [付士慧, 裴利军 2010 物理学报 59 5985]
[11] Li W L, Chen X Q 2009 Commun Nonlinear Sci Numer Simulat 14 2009
[12] Wu Z Q, Yue D, Xu S F 2002 Acta Phys. Sin. 51 1193 (in Chinese) [吴忠强, 岳东, 许世范 2002 物理学报 51 1193]
[13] Meng J, Wang X Y 2009 Acta Phys. Sin. 58 0819 (in Chinese) [孟娟, 王兴元 2009 物理学报 58 0819]
[14] Ichraf E G, Moez F 2013 Commun Nonlinear Sci Numer Simulat 18 625
[15] Li C P, Deng W H, Xu D 2006 Physica A 360 171
[16] Shao S Y, Min F H, Ma M L, Wang E R 2013 Acta Phys. Sin. 62 130504 (in Chinese) [邵书义, 闵富红, 马美玲, 王恩荣 2013 物理学报 62 130504]
[17] Li Y, Zhang Z M, Tao Z J 2009 Acta Phys. Sin. 58 6818 (in Chinese) [李亚, 张正明, 陶志杰 2009 物理学报 58 6818]
[18] Liu Y Z, Fei S M, Li P 2005 Systems Engineering and Electronics 27 1448 (in Chinese) [刘扬正, 费树岷, 李平 2005 系统工程与电子技术 27 1448]
[19] Min F H, Huang J Z, Guo Y 2011 Discontinuous Dynamical Systems on Time-varying Domains (Beijing: Higher Education Press) (in Chinese) [闵富红, 黄健哲, 郭羽 译 2011 动态域上的不连续动力学系统 (北京:高等教育出版社)]
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[1] Takashi M, Leon O C, 1985 Motomasa K IEEE transactions on circuits and systems 32 797
[2] Yu S M 2011 Chaotic Systems and Chaotic Circuits-Principle, Design and its Application in communications (Xian: Xian University Press) (in Chinese) [禹思敏 2011 混沌系统与混沌电路——原理、设计及其在通信中的应用(西安:西安电子科技大学出版社)]
[3] Min F H, Wang Z Q 2008 Acta Phys. Sin. 57 31 (in Chinese) [闵富红, 王执铨 2008 物理学报 57 31]
[4] Xie B L, Zhou Z G, Zhang Z D 2013 Acta Phys. Sin. 62 188702 (in Chinese) [谢柏林, 周志刚, 张正道 2013 物理学报 62 188702]
[5] Hu M F, Xu Z Y 2008 Nonlinear Analysis RWA 9 1253
[6] Zhang H B, Xia J W, Yu Y B, Dang C Y 2010Chin. Phys. B 19 030505
[7] Wang J W, Ma Q H, Zeng L 2011 Chin. Phys. B 20 080506
[8] Hanéne M, Olfa B 2012 Commun Nonlinear Sci Numer Simulat 17 1292
[9] Li J F, Li N, Cai L, Zhang B 2008 Acta Phys. Sin. 57 7500 (in Chinese) [李建芬, 李农, 蔡理, 张斌 2008 物理学报 57 7500]
[10] Fu S H, Pei L J 2010 Acta Phys. Sin. 59 5985 (in Chinese) [付士慧, 裴利军 2010 物理学报 59 5985]
[11] Li W L, Chen X Q 2009 Commun Nonlinear Sci Numer Simulat 14 2009
[12] Wu Z Q, Yue D, Xu S F 2002 Acta Phys. Sin. 51 1193 (in Chinese) [吴忠强, 岳东, 许世范 2002 物理学报 51 1193]
[13] Meng J, Wang X Y 2009 Acta Phys. Sin. 58 0819 (in Chinese) [孟娟, 王兴元 2009 物理学报 58 0819]
[14] Ichraf E G, Moez F 2013 Commun Nonlinear Sci Numer Simulat 18 625
[15] Li C P, Deng W H, Xu D 2006 Physica A 360 171
[16] Shao S Y, Min F H, Ma M L, Wang E R 2013 Acta Phys. Sin. 62 130504 (in Chinese) [邵书义, 闵富红, 马美玲, 王恩荣 2013 物理学报 62 130504]
[17] Li Y, Zhang Z M, Tao Z J 2009 Acta Phys. Sin. 58 6818 (in Chinese) [李亚, 张正明, 陶志杰 2009 物理学报 58 6818]
[18] Liu Y Z, Fei S M, Li P 2005 Systems Engineering and Electronics 27 1448 (in Chinese) [刘扬正, 费树岷, 李平 2005 系统工程与电子技术 27 1448]
[19] Min F H, Huang J Z, Guo Y 2011 Discontinuous Dynamical Systems on Time-varying Domains (Beijing: Higher Education Press) (in Chinese) [闵富红, 黄健哲, 郭羽 译 2011 动态域上的不连续动力学系统 (北京:高等教育出版社)]
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