Abstract: This book introduces the 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 multilevel digital circuits, memristor-based multilevel multiplier and memcapacitor-based oscillators and synaptic circuits
Foreword: 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 researcher on memristors, memcapacitor, and meminductors will find this book indispensable.