TY - BOOK AU - Radwan,Ahmed G. AU - Fouda,Mohammed E. TI - On the Mathematical Modeling of Memristor, Memcapacitor, and Meminductor T2 - Studies in Systems, Decision and Control, SN - 9783319174914 U1 - 621.3815 23 PY - 2015/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Electronic circuits KW - Statistical physics KW - Information theory KW - Circuits and Systems KW - Applications of Nonlinear Dynamics and Chaos Theory KW - Information and Communication, Circuits N1 - Introduction -- Memristor: Models, Types and Applications -- Memristor Mathematical Models and Emulators -- Memristor-based Relaxation Oscillator Circuits -- Memristor-based Multilevel Digital Systems -- Memcapacitor: Modelling, Analysis and Emulators -- Memcapacitor based applications -- Meminductor: Modelling, Analysis and Emulators N2 - 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 ER -