On the Mathematical Modeling of Memristor, Memcapacitor, and Meminductor

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Reviews the literature on mem-elements, models, Emulators and their recent applications Presents the concepts of memristive-based oscillators and multilevel digital circuits Provides the analyses of the memcapacitor and meminductor elements with applications 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 Related Subjects: Circuits and Systems, Nonlinear Dynamics, Information and Communication, Circuits

Author(s): Ahmed G. Radwan, Mohammed E. Fouda
Series: Studies in Systems, Decision and Control 26
Edition: 2015
Publisher: Springer International Publishing
Year: 2015

Language: English
Pages: C, XX, 231
Tags: Circuits and Systems; Nonlinear Dynamics; Information and Communication, Circuits

Front Matter....Pages i-xx
Introduction....Pages 1-12
Memristor: Models, Types, and Applications....Pages 13-49
Memristor Mathematical Models and Emulators....Pages 51-84
Memristor-Based Relaxation Oscillator Circuits....Pages 85-119
Memristor-Based Multilevel Digital Systems....Pages 121-150
Memcapacitor: Modeling, Analysis, and Emulators....Pages 151-185
Memcapacitor Based Applications....Pages 187-205
Meminductor: Modeling, Analysis, and Emulators....Pages 207-227
Back Matter....Pages 229-231