Project detail

Generalized higher-order elements

Duration: 01.01.2014 — 31.12.2016

Funding resources

Czech Science Foundation - Standardní projekty

- whole funder (2014-01-01 - 2016-12-31)

On the project

In 1971, the memristor was introduced into the circuit theory, and the discovery of a solid-state device with memristor behavior in the Hewlett-Packard laboratories was announced in 2008. The memristor is considered a key memory element for the future computer industry. It is also one of the so-called higher-order elements (HOEs) which are organized in Chua´s periodical table. From this table, only the resistor, capacitor, inductor, and their “memory-versions” – memristor, memcapacitor, and meminductor – have hitherto been given names. A strong application potential of the HOEs is responsible for the increasing number of theoretical works being produced in assorted areas, for example in biological systems, nanotechnologies, and artificial intelligence. The substance of the project consists in researching into the fundamental regularities and principles occurring in systems which contain the HOEs. The final aim is to unfold the regularities to a degree that enables a full-scale inclusion of these circuit elements in the existing system of fundamental elements in the circuit theory.

Keywords
Higher-order elements, memristor, memcapacitor, meminductor, constitutive relation, pinched hysteresis loop, nonvolatile memory.

Mark

GA14-19865S

Default language

English

People responsible

Biolek Dalibor, prof. Ing., CSc. - principal person responsible

Units

Department of Microelectronics
- beneficiary (2014-01-01 - not assigned)

Results

BIOLEK, D.; BIOLEK, Z.; BIOLKOVÁ, V. Interpreting area of pinched memristor hysteresis loop. Electronics Letters, 2014, vol. 50, no. 2, p. 74-75. ISSN: 0013-5194.
Detail

POTREBIC, M.; TOSIC, D.; BIOLEK, D. Reconfigurable microwave filters using memristors. International Journal of Circuit Theory and Applications, 2017, vol. 2017, no. 1, p. 113-121. ISSN: 1097-007X.
Detail

BIOLEK, D.; BIOLKOVÁ, V.; KOLKA, Z.; BIOLEK, Z. Passive circuit emulating memristive system. L. Mikuláš, SR: AFCEA, 2014. p. 14-18.
Detail

BIOLEK, D.; BIOLEK, Z.; BIOLKOVÁ, V.; KOLKA, Z. Some Regularities of the Spectral Content of the Responses of Memristive Systems to Sinusoidal Excitation. In 2014 UKSim-AMSS 8th European Modelling Symposium (EMS 2014). Pisa, Italy: IEEE, 2014. p. 473-478. ISBN: 978-1-4799-7411-5.
Detail

BIOLEK, Z.; BIOLEK, D.; BIOLKOVÁ, V. (Co)content in Circuits with Memristive Elements. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2015, vol. 62, no. 2, p. 488-496. ISSN: 1549-8328.
Detail

BIOLEK, D.; BIOLEK, Z.; BIOLKOVÁ, V.; KOLKA, Z. Modeling of TiO2 memristor: from analytic to numerical analyses. SEMICONDUCTOR SCIENCE AND TECHNOLOGY, 2014, vol. 29, no. 12, p. 125008-125012. ISSN: 0268-1242.
Detail

BIOLEK, D.; BIOLKOVÁ, V.; KOLKA, Z.; DOBEŠ, J. Analog Emulator of Genuinely Floating Memcapacitor with Piecewise-Linear Constitutive Relation. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2016, vol. 35, no. 1, p. 43-62. ISSN: 0278-081X.
Detail

BIOLEK, Z.; BIOLEK, D.; BIOLKOVÁ, V. Differential Equations of Ideal Memristors. Radioengineering, 2015, vol. 24, no. 2, p. 369-377. ISSN: 1210-2512.
Detail

BIOLEK, D.; BIOLEK, Z.; BIOLKOVÁ, V.; KOLKA, Z. Reliable Modeling of Ideal Generic Memristors via State-Space Transformation. Radioengineering, 2015, vol. 24, no. 2, p. 393-407. ISSN: 1210-2512.
Detail

ASCOLI, A.; TETZLAFF, R.; BIOLEK, Z.; KOLKA, Z.; BIOLKOVÁ, V.; BIOLEK, D. The Art of Finding Accurate Memristor Model Solutions. IEEE Journal on Emerging and Selected Topics in Circuits and Systems, 2015, vol. 5, no. 2, p. 133-142. ISSN: 2156-3357.
Detail

KOLKA, Z.; BIOLEK, D.; BIOLKOVÁ, V. Improved Model of TiO2 Memristor. Radioengineering, 2015, vol. 24, no. 2, p. 378-383. ISSN: 1210-2512.
Detail

BIOLEK, Z.; BIOLEK, D.; BIOLKOVÁ, V.; KOLKA, Z. Variation of a classical fingerprint of ideal memristor. International Journal of Circuit Theory and Applications., 2016, vol. 44, no. 5, p. 1202-1207. ISSN: 0098-9886.
Detail

KOLKA, Z.; BIOLEK, D.; BIOLKOVÁ, V. Enhanced PSpice Model of TiO2 Memristor. INTERNATIONAL JOURNAL OF MATERIALS, 2015, vol. 2, no. 1, p. 25-28. ISSN: 2313-0555.
Detail

BIOLEK, D.; BIOLKOVÁ, V.; KOLKA, Z.; BIOLEK, Z. Passive Fully Floating Emulator of Memristive Device for Laboratory Experiments. In 6th International Conference on Circuits, Systems, Control, Signals (CSCS 15). Tenerife, Spain: World Scientific and Engineering Academy, 2015. p. 112-116. ISBN: 978-1-61804-279-8.
Detail

BIOLEK, D.; BIOLEK, Z.; BIOLKOVÁ, V.; KOLKA, Z.; ASCOLI, A.; TETZLAFF, R. Generalized Rule of Homothety of Ideal Memristors and Their Siblings. In 2015 European Conference on Circuit Theory and Design (ECCTD). Trondheim, Norway: IEEE, 2015. p. 1-4. ISBN: 9781479998777.
Detail

ASCOLI, A.; TETZLAFF, R.; BIOLEK, Z.; BIOLEK, D.; BIOLKOVÁ, V.; KOLKA, Z. Techniques for reliable and accurate numerical solutions of memristor models. In 2015 European Conference on Circuit Theory and Design (ECCTD). Trondheim, Norway: IEEE, 2015. p. 17-20. ISBN: 9781479998777.
Detail

BIOLEK, D.; TESKA, T.; BIOLKOVÁ, V.; KOLKA, Z. Modular Emulators of Memristors and Other Higher-Order Elements from Chua’s Periodical Table. In Proceedings of MEMRISYS'2015. Paphos, Cyprus: IEEE, 2015. p. 1-2. ISBN: 978-1-4673-9209-9.
Detail

KOLKA, Z.; BIOLKOVÁ, V.; BIOLEK, D. Stability of Digitally Emulated Mem-Elements. In 2015 International Conference on Computing, Communication and Security (ICCCS). Pointe aux Piments, Mauritius: IEEE, 2015. p. 415-419. ISBN: 978-1-4673-9353-9.
Detail

BIOLEK, D.; BIOLKOVÁ, V.; KOLKA, Z. Memristor Model For Massively-Parallel Computations. In 2015 International Conference on Computing, Communication and Security (ICCCS). Pointe aux Piments, Mauritius: IEEE, 2015. p. 410-414. ISBN: 978-1-4673-9353-9.
Detail

KOLKA, Z.; BIOLKOVÁ, V.; BIOLEK, D. Simplified SPICE Model of TiO2 Memristor. In Proceedings of MEMRISYS'2015. Paphos, Cyprus: IEEE, 2015. p. 1-2. ISBN: 978-1-4673-9209-9.
Detail

KOLKA, Z.; BIOLEK, D.; BIOLKOVÁ, V.; BIOLEK, Z. Evaluation of Memristor Models for Large Crossbar Structures. In Proceedings of the 26th International Conference RADIOELEKTRONIKA 2016. Košice: IEEE, 2016. p. 91-94. ISBN: 978-1-5090-1674-7.
Detail

BIOLEK, D.; KOLKA, Z.; BIOLKOVÁ, V.; BIOLEK, Z. Memristor Models for SPICE Simulation of Extremely Large Memristive Networks. In 2016 IEEE International Symposium on Circuits and Systems (ISCAS). USA: IEEE, 2016. p. 389-392. ISBN: 978-1-4799-5340-0.
Detail

BIOLEK, Z.; BIOLEK, D.; VÁVRA, J.; BIOLKOVÁ, V.; KOLKA, Z. The Simplest Memristor in the World. In Proc. of 2016 IEEE International Symposium on Circuits and Systems (ISCAS). USA: IEEE, 2016. p. 1854-1857. ISBN: 978-1-4799-5340-0.
Detail

BIOLEK, Z.; BIOLEK, D.; BIOLKOVÁ, V. Hysteresis versus PSM of ideal memristors, memcapacitors, and meminductors. Electronics Letters, 2016, vol. 52, no. 20, p. 1669-1670. ISSN: 0013-5194.
Detail

BIOLEK, D.; BIOLEK, Z.; BIOLKOVÁ, V.; KOLKA, Z. Nonlinear Inerter in the Light of Chua’s Table of Higher-Order Electrical Elements. In 2016 IEEE Asia Pacific Conference on Circuits and Systems, APCCAS 2016. Jeju, Korea: IEEE, 2016. p. 617-620. ISBN: 978-1-5090-1570-2.
Detail

BIOLEK, Z.; BIOLEK, D.; BIOLKOVÁ, V. Utilization of Euler-Lagrange Equations in Circuits with Memory Elements. Radioengineering, 2016, vol. 25, no. 4, p. 783-789. ISSN: 1210-2512.
Detail

BIOLEK, D.; BIOLEK, Z.; BIOLKOVÁ, V. Memristors and Other Higher-Order Elements in Generalized Through-Across Domain. In 23rd IEEE Int. Conference on Electronics Circuits and Systems (ICECS). Monte Carlo, Monaco: IEEE, 2016. p. 604-607. ISBN: 978-1-5090-6113-6.
Detail

VÁVRA, J.; BIOLEK, D. An Envelope Detector Based on Memristive Systems. Journal of Telecommunication, Electronic and Computer Engineering, 2017, vol. 9, no. 2-7, p. 183-186. ISSN: 2180-1843.
Detail

BIOLEK, D.; BIOLKOVÁ, V.; KOLKA, Z.; VÁVRA, J. Synthesis of Memristive Systems. Journal of Telecommunication, Electronic and Computer Engineering, 2017, vol. 9, no. 2-7, p. 171-175. ISSN: 2180-1843.
Detail

BIOLEK, Z.; BIOLEK, D.; BIOLKOVÁ, V.; KOLKA, Z.; ASCOLI, A.; TETZLAFF, R. Analysis of memristors with nonlinear memristance versus state maps. International Journal of Circuit Theory and Applications, 2017, vol. 2017, no. 1, p. 1814-1832. ISSN: 1097-007X.
Detail

BIOLEK, D.; BIOLKOVÁ, V.; KOLKA, Z. Memristive Systems For Analog Signal Processing. In Proceedings of ISCAS 2014. Melbourne, Australia: IEEE, 2014. p. 2588-2591. ISBN: 978-1-4799-3432-4.
Detail

Responsibility: Biolek Dalibor, prof. Ing., CSc.