Memristor model and its application for chaos generation

International Journal of Bifurcation and Chaos

Volumn 22, Issue 8, 2012, Pages

  Wang, Lidan ^a   Drakakis, Emmanuel ^b   Duan, Shukai ^a   He, Pengfei ^a   Liao, Xiaofeng ^c  

^a SOUTHWEST UNIVERSITY   (China)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

^c CHONGQING UNIVERSITY   (China)

Author keywords

chaos; charge controlled; flux controlled; Lyapunov exponent; Memristor; SPICE

Indexed keywords

CHAOS THEORY; CHAOTIC SYSTEMS; CIRCUIT SIMULATION; LYAPUNOV METHODS; SPICE;

APPLICATION FIELDS; BOUNDARY AND INITIAL CONDITIONS; CHAOS GENERATION; CHARGE-CONTROLLED; FLUX-CONTROLLED; INTER-DEPENDENCES; LYAPUNOV EXPONENT; MEMRISTOR;

MEMRISTORS;

EID: 84866272403     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127412502057     Document Type: Article

References (43)

1. Arena, P., Baglio, S., Fortuna, L. & Manganaro, G. [2006] "Generation of multi-scroll delayed chaotic oscillator," Generation of n-Double Scrolls via Cellular Neural Networks 24, 241-252.
2. Batas, D. & Fiedler, H. [2010] "A memristor spice implementation and a new approach for magnetic flux controlled memristor modeling," IEEE Trans. Nanotechnology 10, 250-255.
3. Benderli, S. & Wey, T. A. [2009] "On spice macromodelling of TiO2 memristors," Electron. Lett. 45, 377-378.
4. Biolek, D., Biolek, Z. & Biolkova, V. [2009a] "Spice modeling of memristive, memcapacitative and meminductive systems," Proc. ECCTD 09, European Conf. Circuit Theory and Design, pp. 249-252.
5. Biolek, Z., Biolek, D. & Biolkova, V. [2009b] "Spice model of memristor with nonlinear dopant drift," Radioengin. 18, 210-214.
6. Chen, J. & Lü, G. [2006] "Multi-scroll chaos generation: Theories, methods and applications," Int. J. Bifurcation and Chaos 16.
7. Chen, L., Liu, Z., Xia, Y., Yin, K., Gao, L. & Yin, J. [2009] "Electrical field induced precipitation reaction and percolation in Ag30Ge17Se53 amorphous electrolyte films," Appl. Phys. Lett. 94, 162112/1-3.
8. Choi, H., Jung, H., Lee, J., Yoon, J., Park, J., Seong, D.-J., Lee, W., Hasan, M., Jung, G.-Y. & Hwang, H. [2009] "An electrically modifiable synapse array of resistive switching memory," Nanotechnol. 20, 345201-1-5.
9. Chua, L. O. [1971] "Memristor -The missing circuit element," IEEE Trans. Circuit Th. 18, 507-519.
10. Chua, L. O. & Kang, S. M. [1976] "Memristive devices and systems," Proc. IEEE 63, 209-223.
11. Driscoll, T., Kim, H. T., Chae, B. G., Ventra, M. Di. & Basov, D. N. [2009a] "Phase-transition driven memristive system," Appl. Phys. Lett. 95, 043503/1-3.
12. Driscoll, T., Kim, H.-T., Chae, B.-G., Kim, B.-J., Lee, Y.-W., Jokerst, N., Palit, M. S., Smith, D. R., Ventra, M. Di. & Basov, D. N. [2009b] "Memory metamaterials," Science 325, 1518-1521.
13. Duan, S. & Liao, X. [2007] "An electronic implementation for Liao's chaotic delayed neuron model with non-monotonous activation function," Phys. Lett. A 369, 37-43.
14. Gergel-Hackett, N., Hamadani, B., Dunlap, B., Suehle, J., Richter, C., Hacker, C. & Gundlach, D. [2009] "A flexible solution-processed memristor," IEEE Electr. Dev. Lett. 30, 706-708.
15. Hu, X. F., Duan, S. K., Wang, L. D. & Liao, X. F. [2012] "Memristive crossbar array with applications in image processing," Sci. China Ser. F-Inf. Sci. 55, 461-472.
16. Itoh, M. & Chua, L. O. [2008] "Memristor oscillators," Electron. Lett. 18, 3183-3206.
17. Jo, S. H., Kim, K.-H. & Lu, W. [2009] "High-density crossbar arrays based on a si memristive system," Nano Lett. 9, 870-874.
18. Li, C., Wei, M. & Yu, J. [2009] "Chaos generator based on a PWL memristor," Int. Conf. Commun. Circuits and Syst. 2009. ICCCAS 2009, pp. 944-947.
19. Lin, Z. & Wang, H. [2009] "Image encryption based on chaos with PWL memristor in Chua's circuit," Int. Conf. Commun. Circuits and Syst. 2009. ICCCAS 2009, pp. 964-968.
20. Liu, S., Wu, N. & Ignatiev, A. [2000] "Electric-pulseinduced reversible resistance change effect in magnetoresistive films," Appl. Phys. Lett. 76, 2749-2751.
21. Muthuswamy, B. & Kokate, P. [2009] "Memristor based chaotic circuits," IETE 26, 417-429.
22. Oka, K., Yanagida, T., Nagashima, K., Tanaka, H. & Kawai, T. [2009] "Nonvolatile bipolar resistive memory switching in single crystalline NiO heterostructured nanowires," J. Am. Chem. Soc. 131, 3434-3435.
23. Pershin, Y. V. & Ventra, M. Di. [2008] "Spin memristive systems: Spin memory effects in semiconductor spintronics," Phys. Rev. B 78, 113309-1-4.
24. Pershin, Y. V. & Ventra, M. Di. [2009] "Frequency doubling and memory effects in the spin Hall effect," Phys. Rev. B 79, 153307-1-4.
25. Pershin, Y. V., Fontaine, S. La & Ventra, M. Di. [2009] "Memristive model of amoebas learning," Phys. Rev. E 80, 021926.
26. Rose, G. S. & Stan, Jr. M. R. [2007] "A programmable majority logic array using molecular scale electronics," IEEE Trans. Circ. Syst. 54, 2380-2390.
27. Sharifi, M. J. & Banadaki, Y. M. I. [2010] "General SPICE models for memristor and application to circuit simulation of memristor-based synapses and memory cells," J. Circuits Syst. Comput. 19, 407-424.
28. Shin, S., Kim, K. & Kang, S. [2010] "Compact models for memristors based on charge-flux constitutive relationships," IEEE Trans. Computer-Aided Des. Integr. Circuits Syst. 29, 590-598.
29. Stewart, D., Ohlberg, D., Beck, P., Chen, Y., Williams, R., Jeppesen, J., Nielsen, K. & Stoddart, J. [2004] "Molecule-independent electrical switching in pt/organic monolayer/ti devices," Nano Lett. 4, 133-136. (Pubitemid 38167878)
30. Strukov, D. B., Snider, G. S. D., Stewart, R. & Leung, H. [2008] "The missing memristor found," Nature 453, 80-83. (Pubitemid 351630336)
31. Strukov, D. B. & Williams, R. S. [2009] "Exponential ionic drift: Fast switching and low volatility of thin-film memristors," Phys. A -Mater. Sci. Process. 94, 515-519.
32. Sun, W., Li, C. & Yu, J. [2009] "A simple memristor based chaotic oscillator," Int. Conf. Commun. Circuits and Syst. 2009. ICCCAS 2009, pp. 952-954.
33. Suykens, J. A. K. & Vandewalle, J. [1993] "Generation of n-double scrolls (n = 1, 2, 3, 4, . . .)," IEEE Trans. Circuits and Syst.-I : Fund. Th. Appl. 40, 861-867.
34. Tang, K. S., Zhong, G. Q., Chen, G. & Man, K. F. [2001] "Generation of n-scroll attractors via sine function," IEEE Trans. Circuits Syst.-I : Fund. Th. Appl. 48, 1369-1372. (Pubitemid 33120592)
35. Ventra, M. Di., Pershin, Y. V. & Chua, L. O. [2009] "Circuit elements with memory: Memristors, memcapacitors and meminductors," Proc. IEEE 97, 1717-1724.
36. Wang, L. & Yang, X. [2006] "Generation of multi-scroll delayed chaotic oscillator," Electron. Lett. 42, 1439-1441. (Pubitemid 44917253)
37. Wang, D., Zhao, H. & Yu, J. [2009] "Chaos in memristor based Murali-Lakshmanan-Chua circuit," Int. Conf. Commun. Circuits and Syst. 2009. ICCCAS 2009 26, pp. 958-4960.
38. Wang, X., Chen, Y., Xi, H., Li, H. & Dimitrov, D. [2009] "Spintronic memristor through spin-torque-induced magnetization motion," IEEE Electr. Dev. Lett. 30, 294-297.
39. Yalcin, M. E., Suykens, J. A. K., Vandewalle, J. & Ozoguz, S. [2002] "Families of scroll grid attractors," Int. J. Bifurcation and Chaos 12, 23.
40. Yalcin, M. E. [2004] "Cellular neural networks, multiscroll chaos and synchronization: Theory, applications and implementations," PhD dissertation, Katholieke Universiteit Leuven, Heverlee, Belgium.
41. Yang, J. J., Pickett, M. D., Li, X., Ohlberg, D. A. A., Stewart, D. R. & Williams, R. S. [2008] "Memristive switching mechanism for metal/oxide/metal nanodevices," Nat. Nanotechnol. 3, 429-433.
42. Zhang, X., Huang, Z. & Yu, J. [2010] "Memristor model for SPICE," IEICE Trans. Electron. E93-C, 355-360.
43. Zhong, G., Man, K. F. & Chen, G. [2002] "Asystematic approach to generating n-scroll attractors," Int. J. Bifurcation and Chaos 12, 2907-2915. (Pubitemid 36261593)