© 2015

On the Mathematical Modeling of Memristor, Memcapacitor, and Meminductor


Part of the Studies in Systems, Decision and Control book series (SSDC, volume 26)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Ahmed G. Radwan, Mohammed E. Fouda
    Pages 1-12
  3. Ahmed G. Radwan, Mohammed E. Fouda
    Pages 13-49
  4. Ahmed G. Radwan, Mohammed E. Fouda
    Pages 51-84
  5. Ahmed G. Radwan, Mohammed E. Fouda
    Pages 85-119
  6. Ahmed G. Radwan, Mohammed E. Fouda
    Pages 121-150
  7. Ahmed G. Radwan, Mohammed E. Fouda
    Pages 151-185
  8. Ahmed G. Radwan, Mohammed E. Fouda
    Pages 187-205
  9. Ahmed G. Radwan, Mohammed E. Fouda
    Pages 207-227
  10. Back Matter
    Pages 229-231

About this book


This book introduces the basic fundamentals, models, emulators and analyses of mem-elements in the circuit theory with applications. The book starts reviewing the literature on mem-elements, models and their recent applications. It presents mathematical models, numerical results, circuit simulations, and experimental results for double-loop hysteresis behavior of mem-elements. The authors introduce a generalized memristor model in the fractional-order domain under different input and different designs for emulator-based mem-elements, with circuit and experimental results. The basic concept of memristive-based relaxation-oscillators in the circuit theory is also covered. The reader will moreover find in this book information on  memristor-based multi-level digital circuits, memristor-based multi-level multiplier and memcapacitor-based oscillators and synaptic circuits.


Circuit Theory Joglekar's Window Function Linear Circuits Elements MEM-elements Memcapactior Elements Multilevel Digital Systems Relaxation Oscillator Circuits

Authors and affiliations

  1. 1.Faculty of Engineering, Engineering Mathematics and Physics Department, Cairo University, Giza, Egypt, Nanoelectronics Integrated Systems Center (NISC),Nile UniversityCairoEgypt
  2. 2.Faculty of Engineering, Engineering Mathematics and Physics Department,Cairo UniversityGizaEgypt

About the authors

Ahmed G. Radwan, Senior IEEE Member, Ph.D., is an Associate Professor at the Faculty of Engineering, Cairo University, and also at the Nanoelectronics Integrated Systems Center, Nile University, Egypt. His research interests include chaotic, fractional order, and memristor-based systems. He is the recipient of several awards in Mathematical and Engineering Sciences and has published over 100 international research papers, several US patents, several book chapters and three books ("Analog circuit design in the fractional order domain", “Practical testing mythologies for detecting hard and soft faults in analog digital circuits”, "Memristor-based multilevel arithmetic circuit").


Mohammed Fouda, is an assistant lecturer, Faculty of Engineering, Cairo University, Egypt. His research interests include Mem-element-based circuits and analog circuits. He has more than 20 international journal and conference papers. He won the best paper award in ICM 2013 in Lebanon.

Bibliographic information


“The book, organized on seven chapters, deals with the modeling, analysis and applications of memelements … . The book is interesting and can be used by researchers interested in memelements from the theoretical point of view as well as for a number of practical applications.” (Liviu Goraş, zbMATH 1334.94003, 2016)

Among the numerous books and monographs published so far on the memristor, memcapacitor, and meminductor, the Radwan-Fouda book stands out as the most comprehensive, scholarly, and timely. The book has both depth and breadth – it covers practically all aspects of memory circuit elements that have been published in the literature, including important contributions from the authors themselves. Each chapter is carefully organized, well-illustrated, and written pedagogically so even the uninitiated will find it to be eminently readable. The references are comprehensive and surprisingly up-to-date, including some obscure papers and several future papers that have not yet seen the light of day. Every serious researchers on memristors, memcapacitor, and meminductors will find this book indispensable.

Leon Chua

USA, Feb. 2015