PapersNo Access

HYPERCHAOS IN A MEMRISTOR-BASED MODIFIED CANONICAL CHUA'S CIRCUIT

School of Electrical, Electronic and Computer Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia

Search for more papers by this author

DONGSHENG YU

School of Electrical, Electronic and Computer Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia

School of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou 221008, P. R. China

Search for more papers by this author

HERBERT H. C. IU

School of Electrical, Electronic and Computer Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia

Search for more papers by this author

, and

VICTOR SREERAM

School of Electrical, Electronic and Computer Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009, Australia

Search for more papers by this author

https://doi.org/10.1142/S0218127412501337Cited by:118 (Source: Crossref)

Abstract

After the successful solid state implementation of the memristor, memristor-based circuits have received a lot of attention. In this paper, a memristor with cubic nonlinear characteristics is employed in the modified canonical Chua's circuit. A systematic study of hyperchaotic behavior in this circuit is performed with the help of nonlinear tools such as Lyapunov exponents, phase portraits and bifurcation diagrams. In particular, an imitative memristor circuit is examined to reveal the construction of hyperchaotic attractors.

Keywords:

References

S. Baglio and L. Fortuna, IEEE Trans. Circuits Syst.-I: Fund. Th. Appl. 41, 908 (1994). Crossref, Web of Science, Google Scholar
B. C. Bao, Z. Liu and J. P. Xu, Electron. Lett. 46, 237 (2010). Google Scholar
D. Batas and H. Fiedler, IEEE Trans. Nanotechnol. 10, 250 (2011). Crossref, Web of Science, Google Scholar
H. Choiet al., Nanotechnol. 20, 345201 (2009). Crossref, Web of Science, Google Scholar
L. O. Chua and G. N. Lin, IEEE Trans. Circuits Syst. 37, 885 (1990). Crossref, Google Scholar
L. Dieci, D. R. Robert and S. V. Erik, SIAM J. Numer. Anal. 34, 402 (1997). Crossref, Web of Science, Google Scholar
Driscoll, T., Pershin, Y. V., Basov, D. N. & Di Ventra, M. [2011] "Chaotic memristor," Appl. Phys. A, doi 10.1007/s00339-011-6318-z . Google Scholar
Govorukhin, V. [2008] "Lyapunov exponents for ODEs," http://www.mathsworks.com/matlabcentral/fileexchange/ . Google Scholar
G. Grassi and S. Mascolo, IEEE Trans. Circuits Syst.-I: Fund. Th. Appl. 46, 1135 (1999). Crossref, Web of Science, Google Scholar
Y. Ho, G. M. Huang and P. Li, Nonvolatile memristor memory: Device characteristics and design implications, IEEE/ACM 2009 Int. Conf. Computer-Aided Design (ICCAD) (2009) pp. 485–490. Google Scholar
M. Itoh and L. O. Chua, Int. J. Bifurcation and Chaos 18, 3183 (2008). Link, Web of Science, Google Scholar
H. H. C. Iuet al., IEEE Trans. Circuits Syst.-I 58, 1337 (2011). Crossref, Web of Science, Google Scholar
R. Jia, Q. Huang and J. Peng, Study of the hyperchaos-based Hash function in e-commerce applications, Int. Conf. Intelligent Computation Technology and Automation (2010) pp. 451–454. Google Scholar
S. H. Joet al., NanoLetters 10, 1297 (2010). Crossref, Web of Science, Google Scholar
H. Kantz, Phys. Lett. A 185, 77 (1994). Crossref, Web of Science, Google Scholar
B. Muthuswamy and P. P. Kokate, IETE Tech. Rev. 26, 417 (2009). Crossref, Web of Science, Google Scholar
B. Muthuswamy, Int. J. Bifurcation and Chaos 20, 1335 (2010). Link, Web of Science, Google Scholar
B. Muthuswamy and L. O. Chua, Int. J. Bifurcation and Chaos 20, 1567 (2010). Link, Web of Science, Google Scholar
Pershin, Y. V. & Di Ventra, M. [2009] "Experimental demonstration of associative memory with memristive neural networks," available: http://arXiv.org/abs/arXiv:0905.2935 . Google Scholar
Y. V. Pershin and M. Di Ventra, IEEE Trans. Circuits Syst.-I 57, 1857 (2010). Crossref, Web of Science, Google Scholar
I. Petras, IEEE Trans. Circuits Syst.-II 57, 975 (2010). Crossref, Web of Science, Google Scholar
A. Rak and G. Cserey, IEEE Trans. Computer-Aided Des. Integr. Circuits Syst. 29, 632 (2010). Crossref, Web of Science, Google Scholar
D. B. Strukovet al., Nature 80 (2008). Web of Science, Google Scholar
M. Varsace and B. Chandler, IEEE Spectrum 12, 30 (2010). Google Scholar
F. Z. Wanget al., IEEE Electron Dev. Lett. 31, 755 (2010). Crossref, Web of Science, Google Scholar
A. Wolfet al., Physica D 16, 285 (1985). Crossref, Web of Science, Google Scholar