Synthesis of Memristive Systems

D. Biolek, V. Biolkova, Z. Kolka, J. Vavra

Abstract


A method of the synthesis of memristive systems with prescribed pinched hysteresis loops is described. Since the loop has a connection to the Fourier components of the system response to sinusoidal excitation, the method can be used for designing nonlinear applications of memristive systems that work on the principle of spectrum enrichment.

Keywords


Memristor; Pinched Hysteresis Loop; Spectrum; Synthesis;

Full Text:

PDF

References


D. B. Strukov, G. S. Snider, D. R. Stewart, and R. S. Williams, “The missing memristor found,” Nature, vol. 453, pp. 80 – 83, May 2008.

Chua, L. O., “Memristor – The Missing Circuit Element,” IEEE Trans Circ Theory, vol. CT-18, no. 5, pp. 507 – 519, September 1971.

L. O. Chua and S. M. Kang, “Memristive Devices and Systems,” Proc IEEE, vol. 64, no. 2, pp. 209 – 223, February 1976.

Y. V. Pershin and M. Di Ventra, “Memory effects in complex materials and nanoscale systems,” Advances in Physics, vol. 60, no. 2, pp. 145 – 227, 2011.

D. Biolek, V. Biolková and Z. Kolka, “Memristive systems for analog signal processing,” in Proc. of ISCAS 2014, Melbourne, Australia, 2014, pp. 2588–2591.

A. M. Bratkovski, M. Stuke, J. Yang and S. Y. Wang, “Memristors with Asymmetric Electrodes,” Patent Application No. PCT/US2009/051936, 10.02.2011, Hewlett-Packard Development Company, L.P., http://www.wipo.int/patentscope/search/en/WO2011016794.

Z. Biolek, D. Biolek and V. Biolková, “Analytical Solution of Circuits Employing Voltage- and Current- Excited Memristors,” IEEE Trans. Circ Syst I: Regular Papers, vol. 59, no. 11, pp. 2619 – 2628, November 2012.

L. O. Chua, “If it’s pinched it’s a memristor,” Semicon Sci Technol., vol. 29, no. 10, 104001 (42 pp), September 2014.

Y. N. Joglekar and N. Meijome, “Fourier Response of a Memristor: Generation of High Harmonics with Increasing Weights,” IEEE Trans. Circ Syst II: Express Briefs, vol. 59, no. 11, pp. 830 – 834, November 2012.

G. Z. Cohen, Y. V. Pershin, and M. Di Ventra, “Second and higher harmonics generation with memristive systems,” arXiv:1202.4727v1, [cond-mat.mes-hall], 21st February 2012.

D. Biolek, Z. Biolek, V. Biolková and Z. Kolka, “Some Regularities of the Spectral Content of the Responses of Memristive Systems to Sinusoidal Excitation,” in Proc. IEEE Conf. EMS2014, Pisa, Italy, Oct. 2014.

D. Biolek, Z. Biolek and V. Biolková, “Pinched hysteretic loops of ideal memristors, memcapacitors and meminductors must be 'selfcrossing',” Electronics Letters, vol. 47, no. 25, pp. 1385 –1387, December 2011.

Z. Biolek and D. Biolek, “How Can the Hysteresis Loop of the Ideal Memristor Be Pinched?,” IEEE Trans Circ Syst II: Express Briefs, vol. 61, no. 7, pp. 491 – 495, July 2014.

D. Biolek, V. Biolková and Z. Kolka, “Memristor Pinched Hysteresis Loops: Touching Points, Part II,” in Proc. Applied Electronics, Pilsen, Czech Republic, pp. 41 – 44, 2014.

Multiple-Angle Formulas. Wolfram MathWorld, http://mathworld.wolfram.com/Multiple-AngleFormulas.html.

L. O. Chua, “Everything You Wish to Know About Memristors But Are Afraid to Ask,” Radioengineering, vol. 24, no. 2, pp. 319 – 368, June 2015.


Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

ISSN: 2180-1843

eISSN: 2289-8131