A Universal Floating Fractional-Order Elements/Memelements Emulator

In this paper, a generalized floating emulator block is proposed using grounded elements. The proposed emulator is a universal emulator that is used to realize any floating elements such as fractional-order element (FOE) and fractional-order memelements (FOME). Different implementations for the introduced emulator are presented using different active blocks and generalized impedances. The fractional-order parameters add an extra degree of controllability on the hysteresis loop (HL) and the location of the pinched point, which will be investigated. Circuit simulations for the proposed circuits are performed.

[1]  Carlos Sánchez-López,et al.  A Floating Analog Memristor Emulator Circuit , 2014, IEEE Transactions on Circuits and Systems II: Express Briefs.

[2]  L. Chua Memristor-The missing circuit element , 1971 .

[3]  Ahmed M. Soliman,et al.  New CCII and ICCII Based Realizations of L-C and L-R Mutators , 2010, Circuits Syst. Signal Process..

[4]  Leon O. Chua,et al.  Circuit Elements With Memory: Memristors, Memcapacitors, and Meminductors , 2009, Proceedings of the IEEE.

[5]  Leon O. Chua,et al.  Memfractance: A Mathematical Paradigm for Circuit Elements with Memory , 2014, Int. J. Bifurc. Chaos.

[6]  Ahmed Gomaa Radwan,et al.  A generalized family of memristor‐based voltage controlled relaxation oscillator , 2018, Int. J. Circuit Theory Appl..

[7]  Hassan Elwan,et al.  Novel CMOS differential voltage current conveyor and its applications , 1997 .

[8]  Yan Liang,et al.  Design of a Practical Memcapacitor Emulator Without Grounded Restriction , 2013, IEEE Transactions on Circuits and Systems II: Express Briefs.

[9]  Ahmed G. Radwan,et al.  Charge controlled memristor-less memcapacitor emulator , 2012 .

[10]  J. Valsa,et al.  Network Model of the CPE , 2011 .

[11]  H. Srivastava,et al.  Theory and Applications of Fractional Differential Equations , 2006 .

[12]  Ahmed M. Soliman,et al.  Generalized two-port network based fractional order filters , 2019, AEU - International Journal of Electronics and Communications.

[13]  Zhen Wang,et al.  Nonlinear dynamics and chaos in a simplified memristor-based fractional-order neural network with discontinuous memductance function , 2018, Nonlinear Dynamics.

[14]  Herbert Ho-Ching Iu,et al.  Mutator for transferring a memristor emulator into meminductive and memcapacitive circuits , 2014 .

[15]  Ahmed M. Soliman,et al.  General fractional order mem-elements mutators , 2019, Microelectron. J..

[16]  Ahmed G. Radwan,et al.  Incremental Grounded Voltage Controlled Memristor Emulator , 2018, 2018 30th International Conference on Microelectronics (ICM).

[17]  Ahmed M. Soliman,et al.  Fractional-order impedance transformation based on three port mutators , 2017 .

[18]  Chunhua Wang,et al.  A universal emulator for memristor, memcapacitor, and meminductor and its chaotic circuit. , 2019, Chaos.

[19]  Ahmed M. Soliman,et al.  Fractional order oscillators based on operational transresistance amplifiers , 2015 .

[21]  Leon O. Chua,et al.  A Universal Mutator for Transformations Among Memristor, Memcapacitor, and Meminductor , 2014, IEEE Transactions on Circuits and Systems II: Express Briefs.