Nonlinear Resonance From Circuits To Systems

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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.
Nonlinear Resonance from Circuits to Systems

Author: Arturo Buscarino Luigi Fortuna
language: en
Publisher: World Scientific Publishing Company
Release Date: 2025-03-10
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.
Nonlinear Resonances

This introductory text presents the basic aspects and most important features of various types of resonances and anti-resonances in dynamical systems. In particular, for each resonance, it covers the theoretical concepts, illustrates them with case studies, and reviews the available information on mechanisms, characterization, numerical simulations, experimental realizations, possible quantum analogues, applications and significant advances made over the years. Resonances are one of the most fundamental phenomena exhibited by nonlinear systems and refer to specific realizations of maximum response of a system due to the ability of that system to store and transfer energy received from an external forcing source. Resonances are of particular importance in physical, engineering and biological systems - they can prove to be advantageous in many applications, while leading to instability and even disasters in others. The book is self-contained, providing the details of mathematical derivations and techniques involved in numerical simulations. Though primarily intended for graduate students, it can also be considered a reference book for any researcher interested in the dynamics of resonant phenomena.