Periodic table of circuit elements—Chua&#39;s periodic table and new memory elements

YU Bo; PU Yifei; HE Qiuyan

doi:10.11805/tkyda2019534

[1] CHUA L O. Memristor-the missing circuit element[J]. IEEE Transactions on Circuit Theory, 1971,18(5):507-519.

[2] CHUA L O,KANG S M. Memristive devices and systems[J]. Proceedings of the IEEE, 1976,64(2):209-223.

[3] STRUKOV D B,SNIDER G S,STEWART D R,et al. The missing memristor found[J]. Nature, 2008(453):80-83.

[4] VENTRA D,PERSHIN Y V,CHUA L O. Circuit elements with memory:memristors,memcapacitors and meminductors[J]. Proceedings of the IEEE, 2009,97(10):1717-1724.

[5] CHUA L O. Device modeling via nonlinear circuit elements[J]. IEEE Transactions on Circuits and Systems, 1980,27(11): 1014-1044.

[6] CHUA L O.Nonlinear circuit foundations for nanodevices. I. The four-element torus[J]. Proceedings of the IEEE, 2003, 91(11):1830-1859.

[7] CHUA L O. Thefourth element[J]. Proceedings of the IEEE, 2012,100(6):1-8.

[9] PODLUBNY I. Fractional differential equations:an introduction to fractional derivatives,fractional differential equations,to methods of their solution and some of their applications[M]. San Diego:Academic Press, 1999.

[10] SUN H G,ZHANG Y,BALEANU D,et al. A new collection of real world applications of fractional calculus in science and engineering[J]. Communications in Nonlinear Science and Numerical Simulation, 2018(64):213-231.

[13] YU B,PU Y F,HE Q Y. Fractional-order dual-slope integral fast analog-to-digital converter with high sensitivity[J]. Journal of Circuits Systems and Computers, 2019,29(5):2050083-1-20.

[14] COOPMANS C,PETRAS I,CHEN Y Q. Analogue fractional-order generalized memristive devices[C]// 2009 ASME International Design Engineering Technical Conferences & Computers & Information in Engineering Conference. San Diego,California, USA:[s.n.], 2009:1127-1136.

[15] PETRAS I. Fractional-order memristor-based Chua's circuit[J]. IEEE Transactions on Circuits and Systems II:Express Briefs, 2010,57(12):975-979.

[16] MACHADO J T. Fractional generalization of memristor and higher order elements[J]. Communications in Nonlinear Science and Numerical Simulation, 2013,18(2):264-275.

[17] FOUDA M E,RADWAN A G. On the fractional-order memristor model[J]. Journal of Fractional Calculus and Applications, 2013,4(1):1-7.

[18] ABDALOUAHAB M S,LOZI R,CHUA L. Memfractance:a mathematical paradigm for circuit elements with memory[J]. International Journal of Bifurcation and Chaos, 2014,24(9):1430023.

[19] PU Y F,YUAN X. Fracmemristor:fractional-order memristor[J]. IEEE Access, 2016(4):1872-1888.

[20] WANG F Z,SHI L,WU H,et al. Fractional memristor[J]. Applied Physics Letters, 2017,111(24):243502-1-5.

[21] SIG,DIAO L,ZHU J. Fractional-order charge-controlled memristor:theoretical analysis and simulation[J]. Nonlinear Dynamics, 2017,87(4):2625-2634.

[22] RAHSAD S H,HAMED E M,FOUDA M E,et al. On the analysis of current-controlled fractional-order memristor emulator[C]// 2017 6th International Conference on Modern Circuits and Systems Technologies(MOCAST). Thessaloniki,Greece:IEEE, 2017:1-4.

[23] PU Y F,YUAN X,YU B. Analog circuit implementation of fractional-order memristor:arbitrary-order lattice scaling fracmemristor[J]. IEEE Transactions on Circuits and Systems I:Regular Papers, 2018,65(9):2903-2916.

[24] SANCHES L C,CARBAJAL G V H,CARRASCO A M A,et al. Fractional-order memristor emulator circuits[J]. Complexity, 2018(1):1-10.

[25] NARIMAN A K,LOBNA A,SAID A G,et al. General fractional order mem-elements mutators[J]. Microelectronics Journal, 2019(90):211-221.

[26] GUO Z,SI G,DIAO L,et al. Generalized modeling of the fractional-order memcapacitor and its character analysis[J]. Communications in Nonlinear Science and Numerical Simulation, 2018(59):177-189.

[29] PU Y F. Measurement units and physical dimensions of fractance-part I:position of purely ideal fractor in Chua’s axiomatic circuit element system and fractional-order reactance of fractor in its natural implementation[J]. IEEE Access, 2016(4): 3379-3397.

[30] PU Y F. Measurement units and physical dimensions of fractance-part II: fractional-order measurement units and physical dimensions of fractance and rules for fractors in series and parallel[J]. IEEE Access, 2016(4):3398-3416.

[32] HE Q Y,YU B,YUAN X. Carlson iterating rational approximation and performance analysis of fractional operator with arbitrary order[J]. Chinese Physics B, 2017(4):66-74.