Nonlinear Noninteger Order Circuits And Systems
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Nonlinear Noninteger Order Circuits and Systems
In this book, the reader will find a theoretical introduction to noninteger order systems, as well as several applications showing their features and peculiarities. The main definitions and results of research on noninteger order systems and modelling of physical noninteger phenomena are reported together with problems of their approximation. Control applications, noninteger order CNNs and circuit realizations of noninteger order systems are also presented.The book is intended for students and researchers involved in the simulation and control of nonlinear noninteger order systems, with particular attention to those involved in the study of chaotic systems and the modelling of nonlinear spatiotemporal phenomena.
Fractional-Order Nonlinear Systems
Author: Ivo Petráš
language: en
Publisher: Springer Science & Business Media
Release Date: 2011-05-30
"Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study of fractional-order chaotic systems accompanied by Matlab programs for simulating their state space trajectories, which are shown in the illustrations in the book. Description of the chaotic systems is clearly presented and their analysis and numerical solution are done in an easy-to-follow manner. Simulink models for the selected fractional-order systems are also presented. The readers will understand the fundamentals of the fractional calculus, how real dynamical systems can be described using fractional derivatives and fractional differential equations, how such equations can be solved, and how to simulate and explore chaotic systems of fractional order. The book addresses to mathematicians, physicists, engineers, and other scientists interested in chaos phenomena or in fractional-order systems. It can be used in courses on dynamical systems, control theory, and applied mathematics at graduate or postgraduate level. Ivo Petráš is an Associate Professor of automatic control and the Director of the Institute of Control and Informatization of Production Processes, Faculty of BERG, Technical University of Košice, Slovak Republic. His main research interests include control systems, industrial automation, and applied mathematics.
Nonlinear Resonance From Circuits To Systems
This book is a specific monograph on nonlinear resonance in circuits and systems. The topic falls within the wider area of research that the authors have been developing during the last several years, which includes strange attractors and bifurcations in nonlinear circuits and control systems. Particularly, this monograph discusses the active use of jump resonance circuits, outlining the concept of multi jump and multiple hysteresis jump resonance with the aim of designing electronic circuits, either analog or digital, capable of sensing frequency drifts.The organization is optimized for the reader's quick acquisition of theoretical knowledge which can immediately be applied to carry out practical experiments on nonlinear circuits. The first few chapters present main concepts of jump resonance and the recent advances on nonlinear resonance. Then, the relevance of jump resonance is analyzed in the case of the Chua's circuit and presented in the discrete-time domain. The multi-jump resonance phenomenon is also studied, offering the real possibility of designing multi-jump resonance responses for multi-drift frequency detection. Some chapters focus on the presentation of practical devices, including digital solutions.This monograph is a suitable reading for both theorists and practitioners in nonlinear electronic circuits, especially those interested in how nonlinear resonance can be useful to design advanced circuits and systems.