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Based on the structure of cellular neural network, multi-scroll Chua’s circuit is implemented by the nanoelectronic device of hybrid single electron transistor and metal oxide semiconductor (SETMOS) structure with its negative differential resistance characteristic. The basic dynamical properties, including phase portrait, bifurcation diagram, Lyapunov exponent spectrum, Poincaré mapping and power spectrum are studied by theoretic analysis and numerical simulation. The validity and the feasibility of three-order Chua’s circuit with four scrolls are further confirmed by the circuit simulation experiment. Finally, the results show that the negative differential resistance characteristic of SETMOS determines complex dynamical behaviors of multi-scroll Chua’s circuit. Also, the designed circuit has simple structure and is easy to realize.
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Keywords:
- single electron transistor /
- negative differential resistance /
- multi scrolls /
- bifurcation
[1] Tang K S, Man K F, Chen G R 2001 Proc. IEEE Int. Symp. Circuits Syst. 3 787
[2] Yalcin M E, Suykens J A K, Vandewalle J 2005 Cellular Neural Networks, Multi-Scroll Chaos and Synchronization (Volume 50) (Singapore: World Scientific)
[3] Yu S M, Lin Q H, Qiu S S 2003 Acta Phys. Sin. 52 25(in Chinese) [禹思敏、林清华、丘水生 2003 物理学报 52 25]
[4] Lü J H, Chen G R 2006 Int. J. Bifur. Chaos 16 775
[5] Wang F Q, Liu C X 2007 Chin. Phys. 16 4
[6] Zhang C X, Yu S M 2009 Chin. Phys. B 18 1
[7] Lü J H, Yu S M, Leung H, Chen G R 2006 IEEE Trans. Circuits Syst. Ⅰ 53 149
[8] Chua L O, Lin G N 1990 IEEE Trans. Circuits Syst. 37 885
[9] Huang J, Momenzadeh M, Lombardi F 2007 IEEE Des. Test Comput. 24 304
[10] Mahapatra S, Ionescu A M 2005 IEEE Trans. Nanotechnol. 4 705
[11] Lorenz E N 1963 J. Atmos. Sci. 20 130
[12] Chen G R, Ueta T 1999 Int. J. Bifur. Chaos 9 1465
[13] Lü J H, Chen G R 2002 Int. J. Bifur. Chaos 12 659
[14] Liu W B, Chen G R 2003 Int. J. Bifur. Chaos 13 261
[15] Qi G Y, Chen G R, Du S Z, Chen Z Q, Yuan Z Z 2005 Physica A 352 295
[16] Wang F Z, Qi G Y, Chen Z Q, Yuan Z Z 2006 Acta Phys. Sin. 55 4005 (in Chinese) [王繁珍、齐国元、陈增强、袁著祉 2006 物理学报 55 4005]
[17] Luo X H, Li H Q, Dai X G 2008 Acta Phys. Sin. 57 7511 (in Chinese) [罗小华、李华青、代祥光 2008 物理学报 57 7511]
[18] Elwakil A S, Kennedy M P 2001 IEEE Trans. Circuits Syst. Ⅰ 48 289
[19] Pospíil J, Brzobohat J 1996 IEEE Trans. Circuits Syst. Ⅰ 43 702
[20] Feng C W, Cai L, Kang Q 2008 Acta Phys. Sin. 57 6155 (in Chinese) [冯朝文、蔡 理、康 强 2008 物理学报 57 6155]
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[1] Tang K S, Man K F, Chen G R 2001 Proc. IEEE Int. Symp. Circuits Syst. 3 787
[2] Yalcin M E, Suykens J A K, Vandewalle J 2005 Cellular Neural Networks, Multi-Scroll Chaos and Synchronization (Volume 50) (Singapore: World Scientific)
[3] Yu S M, Lin Q H, Qiu S S 2003 Acta Phys. Sin. 52 25(in Chinese) [禹思敏、林清华、丘水生 2003 物理学报 52 25]
[4] Lü J H, Chen G R 2006 Int. J. Bifur. Chaos 16 775
[5] Wang F Q, Liu C X 2007 Chin. Phys. 16 4
[6] Zhang C X, Yu S M 2009 Chin. Phys. B 18 1
[7] Lü J H, Yu S M, Leung H, Chen G R 2006 IEEE Trans. Circuits Syst. Ⅰ 53 149
[8] Chua L O, Lin G N 1990 IEEE Trans. Circuits Syst. 37 885
[9] Huang J, Momenzadeh M, Lombardi F 2007 IEEE Des. Test Comput. 24 304
[10] Mahapatra S, Ionescu A M 2005 IEEE Trans. Nanotechnol. 4 705
[11] Lorenz E N 1963 J. Atmos. Sci. 20 130
[12] Chen G R, Ueta T 1999 Int. J. Bifur. Chaos 9 1465
[13] Lü J H, Chen G R 2002 Int. J. Bifur. Chaos 12 659
[14] Liu W B, Chen G R 2003 Int. J. Bifur. Chaos 13 261
[15] Qi G Y, Chen G R, Du S Z, Chen Z Q, Yuan Z Z 2005 Physica A 352 295
[16] Wang F Z, Qi G Y, Chen Z Q, Yuan Z Z 2006 Acta Phys. Sin. 55 4005 (in Chinese) [王繁珍、齐国元、陈增强、袁著祉 2006 物理学报 55 4005]
[17] Luo X H, Li H Q, Dai X G 2008 Acta Phys. Sin. 57 7511 (in Chinese) [罗小华、李华青、代祥光 2008 物理学报 57 7511]
[18] Elwakil A S, Kennedy M P 2001 IEEE Trans. Circuits Syst. Ⅰ 48 289
[19] Pospíil J, Brzobohat J 1996 IEEE Trans. Circuits Syst. Ⅰ 43 702
[20] Feng C W, Cai L, Kang Q 2008 Acta Phys. Sin. 57 6155 (in Chinese) [冯朝文、蔡 理、康 强 2008 物理学报 57 6155]
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