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"Electric circuits, Nonlinear."
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Nonlinear circuit simulation and modeling : fundamentals for microwave design
\"Discover the nonlinear methods and tools needed to design real-world microwave circuits with this tutorial guide. Balancing theoretical background with practical tools and applications, it covers everything from the basic properties of nonlinear systems such as gain compression, intermodulation and harmonic distortion, to nonlinear circuit analysis and simulation algorithms, and state-of-the-art equivalent circuit and behavioral modeling techniques\"-- Provided by publisher.
Chua's circuit implementations
by
Frasca, Mattia
,
Fortuna, Luigi
,
Xibilia, Maria Gabriella
in
Chaotic behavior in systems
,
Electric circuits, Nonlinear
,
Electrical & Electronic Engineering (Circuits & Systems, Communications, Control, Computer Engineering)
2009
Since the birth of the Chua circuit in 1983, a considerable number of fruitful, fascinating and relevant research topics have arisen. In honor of the 25th anniversary of the invention of Chua's circuit, this book presents the 25 years of research on the implementation of Chua's circuit, and also discusses future directions and emerging applications of recent results.
Integrated computational intelligent paradigm for nonlinear electric circuit models using neural networks, genetic algorithms and sequential quadratic programming
by
Ling, Sai Ho
,
Rehman, Ata ur
,
Zameer, Aneela
in
Accuracy
,
Artificial Intelligence
,
Artificial neural networks
2020
In this paper, a novel application of biologically inspired computing paradigm is presented for solving initial value problem (IVP) of electric circuits based on nonlinear RL model by exploiting the competency of accurate modeling with feed forward artificial neural network (FF-ANN), global search efficacy of genetic algorithms (GA) and rapid local search with sequential quadratic programming (SQP). The fitness function for IVP of associated nonlinear RL circuit is developed by exploiting the approximation theory in mean squared error sense using an approximate FF-ANN model. Training of the networks is conducted by integrated computational heuristic based on GA-aided with SQP, i.e., GA-SQP. The designed methodology is evaluated to variants of nonlinear RL systems based on both AC and DC excitations for number of scenarios with different voltages, resistances and inductance parameters. The comparative studies of the proposed results with Adam’s numerical solutions in terms of various performance measures verify the accuracy of the scheme. Results of statistics based on Monte-Carlo simulations validate the accuracy, convergence, stability and robustness of the designed scheme for solving problem in nonlinear circuit theory.
Journal Article
Intermodulation Distortion in Microwave and Wireless Circuits
by
Carvalho, Nuno Borges
,
Pedro, Jose Carlos
in
Components, Circuits, Devices and Systems
,
Electric circuits, Nonlinear
,
Electric distortion
2003,2002
This unique new book is your single resource for all issues related to intermodulation and multi-tone distortion in microwave and wireless circuits. Beginning with an overview of the general concepts of distortion in microwave and wireless devices, it delves into the theory and practical aspects of nonlinear distortion, tools for nonlinear analysis, mathematical representations of wireless circuits and devices, and design methods for minimizing distortion. The book presents the full range of distortion specs to help ensure you select the right telecommunications equipment for your needs. Choose from the full range of design methods for highly linear circuits to optimize linearity in small-signal and high-power amplifiers and mixers. Practical advice on modeling and computer-aided tools guides you toward successful analysis and design. Moreover, the book helps you design other highly-linear circuits and systems related to microwave and wireless communications and it includes the most comprehensive treatment of the application of Volterra methods in the technical literature.
Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials
by
Mabrouk, Samah M.
,
Zayed, Mohammad A.
,
Abo-Hashem, Sara I.
in
639/166/987
,
639/705/1041
,
Acquired immune deficiency syndrome
2026
This research is devoted to analyze a conformable fractional-order model of nonlinear two-dimensional transmission line metamaterials. The conformable fractional derivative is utilized to broaden classical differentiation while maintaining essential aspects, including the chain rule. Transmission line metamaterials, as intentionally designed structures, offer a robust framework for examining wave transmission in nonlinear dispersive media. The suggested electrical model facilitates understanding the behavior of creation and transmission of solitons, examined via voltage wave dynamics in circuit-based representations including inductors and capacitors. Due to the electromagnetic characteristics, metamaterials possess considerable promise for use in microwave engineering, signal processing, and communications. Three analytical techniques are utilized to investigate the model’s dynamics: the sine–Gordon expansion method, the fractional sub-equation approach, and the tanh method. Each approach was implemented within the fractional-order interval of the derivative parameter, 0 < α ≤ 1. The derived solutions demonstrated both singular and multiple soliton configurations, essential for the development of sophisticated waveguides and the improvement of signal transmission in telecommunications. The comparison research revealed that all three strategies effectively generated soliton solutions; however, the sine–Gordon expansion method was more beneficial, as it produced more generalized solution forms. This underscores its adaptability and wider applicability in the modeling and construction of fractional-order metamaterial systems.
Journal Article
Nonlinear microwave circuit design
Design techniques for nonlinear microwave circuits are much less developed than for linear microwave circuits.Until now there has been no up-to-date text available in this area.Current titles in this field are considered outdated and tend to focus on analysis, failing to adequately address design and measurement aspects.
Experimental active spike responses of analog electrical neuron: beyond “integrate-and-fire” transmission
by
Tchakoutio Nguetcho, Aurélien Serge
,
Bilbault, Jean-Marie
,
Jacquir, Sabir
in
Automotive Engineering
,
Circuits
,
Classical Mechanics
2015
Using an analog electrical FitzHugh–Nagumo neuron including complex threshold excitation (CTE) properties, we analyze its spiking responses on pulse stimulation. The system is subjected to external pulse stimulus and can generate nonlinear integrate-and-fire and resonant responses which are typical for excitable neuronal cells. Following earlier theoretical predictions, we found that for certain parameters range, there is a possibility to trigger a spiking sequence with a finite number of spikes in response to a single short stimulus pulse. Hence, active transformation of
N
incoming pulses to
M
outgoing spikes is possible. We also show that the nonlinear electrical circuit with the CTE feature can be effectively synchronized by a periodic pulse train with 1 to
M
spike frequency ratio.
Journal Article
Application of Input–State of the System Transformation for Linearization of Selected Electrical Circuits
by
Różowicz, Sebastian
,
Zawadzki, Andrzej
in
differential geometric approach
,
feedback linearization
,
Lie algebras
2016
The paper presents a transformation of nonlinear electric circuit into linear one through changing coordinates (local diffeomorphism) with the use of closed feedback loop. The necessary conditions that must be fulfilled by nonlinear system to enable carrying out linearizing procedures are presented. Numerical solutions of state equations for the nonlinear system and equivalent linearized system are included.
Journal Article
Selected Papers from the 19th Symposium on Electromagnetic Phenomena in Nonlinear Circuits 2006
2007
This special issue consists of selected papers presented at the 19th Symposium on Electromagnetic Phenomena in Nonlinear Circuits (EPNC06) held in June 2006 in Maribor, Slovenia. The 19th EPNC Symposium was organized by the Faculty of Electrical Engineering and Computer Science of University of Maribor and the Polish Society for Theoretical and Applied Electrical Engineering - Poznan Section.