Frequency Domain Approach To Hopf Bifurcation Analysis Continuous Time Delayed Systems
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Frequency Domain Approach To Hopf Bifurcation Analysis Continuous Time Delayed Systems
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Author : Franco Sebastian Gentile
language : en
Publisher: World Scientific
Release Date : 2019-10-07
Frequency Domain Approach To Hopf Bifurcation Analysis Continuous Time Delayed Systems written by Franco Sebastian Gentile and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-07 with Technology & Engineering categories.
This book is devoted to the study of an effective frequency-domain approach, based on systems control theory, to compute and analyze several types of standard bifurcation conditions for general continuous-time nonlinear dynamical systems. A very rich pictorial gallery of local bifurcation diagrams for such nonlinear systems under simultaneous variations of several system parameters is presented. Some higher-order harmonic balance approximation formulas are derived for analyzing the oscillatory dynamics in small neighborhoods of certain types of Hopf and degenerate Hopf bifurcations.The frequency-domain approach is then extended to the large class of delay-differential equations, where the time delays can be either discrete or distributed. For the case of discrete delays, two alternatives are presented, depending on the structure of the underlying dynamical system, where the more general setting is then extended to the case of distributed time-delayed systems. Some representative examples in engineering and biology are discussed.
Frequency Domain Approach To Hopf Bifurcation Analysis
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Author : Franco Sebastián Gentile
language : en
Publisher:
Release Date : 2019
Frequency Domain Approach To Hopf Bifurcation Analysis written by Franco Sebastián Gentile and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Bifurcation theory categories.
Hopf Bifurcation Analysis A Frequency Domain Approach
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Author : Guanrong Chen
language : en
Publisher: World Scientific
Release Date : 1996-04-09
Hopf Bifurcation Analysis A Frequency Domain Approach written by Guanrong Chen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-04-09 with Science categories.
This book is devoted to the frequency domain approach, for both regular and degenerate Hopf bifurcation analyses. Besides showing that the time and frequency domain approaches are in fact equivalent, the fact that many significant results and computational formulas obtained in the studies of regular and degenerate Hopf bifurcations from the time domain approach can be translated and reformulated into the corresponding frequency domain setting, and be reconfirmed and rediscovered by using the frequency domain methods, is also explained. The description of how the frequency domain approach can be used to obtain several types of standard bifurcation conditions for general nonlinear dynamical systems is given as well as is demonstrated a very rich pictorial gallery of local bifurcation diagrams for nonlinear systems under simultaneous variations of several system parameters. In conjunction with this graphical analysis of local bifurcation diagrams, the defining and nondegeneracy conditions for several degenerate Hopf bifurcations is presented. With a great deal of algebraic computation, some higher-order harmonic balance approximation formulas are derived, for analyzing the dynamical behavior in small neighborhoods of certain types of degenerate Hopf bifurcations that involve multiple limit cycles and multiple limit points of periodic solutions. In addition, applications in chemical, mechanical and electrical engineering as well as in biology are discussed. This book is designed and written in a style of research monographs rather than classroom textbooks, so that the most recent contributions to the field can be included with references.
Nonlinear Resonance From Circuits To Systems
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Author : Luigi Fortuna
language : en
Publisher: World Scientific
Release Date : 2025-02-27
Nonlinear Resonance From Circuits To Systems written by Luigi Fortuna and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-27 with Mathematics categories.
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.
Artificial Intelligence Of Neuromorphic Systems From Digital Analogue Quantum And Brain Oriented Computing To Hybrid Ai
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Author : Klaus Mainzer
language : en
Publisher: World Scientific
Release Date : 2024-11-15
Artificial Intelligence Of Neuromorphic Systems From Digital Analogue Quantum And Brain Oriented Computing To Hybrid Ai written by Klaus Mainzer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-15 with Mathematics categories.
This book argues for neuromorphic systems as a technology of the future, which are oriented towards the energy efficiency of natural brains. Energy efficiency is a dramatic claim in times of environmental and climate challenges which should consider the sustainability goals of the United Nations (UN). Mathematically, neuromorphic computing is connected to analogue ('real') computing, which theoretically overcomes the limits of digital Turing computability. Therefore, the book also considers material sciences and engineering sciences which start to realize neuromorphic computing in hardware. Other mathematical formalisms such as quantum mechanics also open up new solutions (e.g., quantum computing) beyond the limits of digital Turing computability. These research fields are no longer merely of theoretical interest, they promise increasing innovation power of market interest. Nevertheless, neuromorphic computing is connected with deep logical, mathematical, and epistemic questions. Does it open new avenues to Artificial General Intelligence (AGI)? All these tendencies of research and innovation demonstrate that we need more integrated research in the foundations of logic, mathematics, physics, engineering sciences, cognitive science, and philosophy. The book is a plea for this kind of research.
Toward General Theory Of Differential Operator And Kinetic Models
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Author : Nikolay Sidorov
language : en
Publisher: World Scientific
Release Date : 2020-03-13
Toward General Theory Of Differential Operator And Kinetic Models written by Nikolay Sidorov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-13 with Science categories.
This volume provides a comprehensive introduction to the modern theory of differential-operator and kinetic models including Vlasov-Maxwell, Fredholm, Lyapunov-Schmidt branching equations to name a few. This book will bridge the gap in the considerable body of existing academic literature on the analytical methods used in studies of complex behavior of differential-operator equations and kinetic models. This monograph will be of interest to mathematicians, physicists and engineers interested in the theory of such non-standard systems.
Chua Lectures The From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos Volume I Memristors New Circuit Element With Memory
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Author : Leon O Chua
language : en
Publisher: World Scientific
Release Date : 2020-08-19
Chua Lectures The From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos Volume I Memristors New Circuit Element With Memory written by Leon O Chua and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-19 with Technology & Engineering categories.
This 4-volume compendium contains the verbatim hard copies of all color slides from the Chua Lecture Series presented at HP in Palo Alto, during the period from September 22 to November 24, 2015. Each lecture consists of 90 minutes, divided into a formal lecture, a discussion session, and an Encore of special trivia that the audience found mesmerizing.These lectures share some unique features of the classic Feynman Lectures on Physics, as much of the materials are presented in the unique style of the author, and the content is original as discovered or invented by the author himself. Unlike most technical books that suffer a notoriously short life span as their features could be superseded by superior models, this series of Chua lectures are intended to never be obsolete — many concepts and principles introduced are in fact new laws of nature, written in the language of sophomore-level mathematics, providing the foundation and the elan vital for initiating and nurturing future concepts and inventions.Volume I — covers everything that a researcher may want to know about memristors but is too afraid to ask.
Chua Lectures The From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos Volume Iv Local Activity Principle Chua S Riddle Turing Machine And Universal Computing Rule 137
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Author : Leon O Chua
language : en
Publisher: World Scientific
Release Date : 2020-08-19
Chua Lectures The From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos Volume Iv Local Activity Principle Chua S Riddle Turing Machine And Universal Computing Rule 137 written by Leon O Chua and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-19 with Technology & Engineering categories.
This 4-volume compendium contains the verbatim hard copies of all color slides from the Chua Lecture Series presented at HP in Palo Alto, during the period from September 22 to November 24, 2015. Each lecture consists of 90 minutes, divided into a formal lecture, a discussion session, and an Encore of special trivia that the audience found mesmerizing.These lectures share some unique features of the classic Feynman Lectures on Physics, as much of the materials are presented in the unique style of the author, and the content is original as discovered or invented by the author himself. Unlike most technical books that suffer a notoriously short life span as their features could be superseded by superior models, this series of Chua lectures are intended to never be obsolete — many concepts and principles introduced are in fact new laws of nature, written in the language of sophomore-level mathematics, providing the foundation and the elan vital for initiating and nurturing future concepts and inventions.Volume IV — surprises the audience with a new law of nature — dubbed the local activity principle, as discovered and proved mathematically in 1996 by Leon Chua. In particular, a Corollary of Chua's local activity theorem, dubbed the edge of chaos, is shown via insightful examples to be the originator of most complex phenomena, including intelligence, creativity, and deep learning. The edge of chaos is Mother Nature's tool for overcoming the tyranny of the second law of thermodynamics by providing an escape hatch for entropy to decrease over time. Indeed, the local activity principle which is profusely illustrated in the final volume, is widely recognized as a new law of thermodynamics, and is identified as the sine qua non of all complex phenomena, including life itself.
Chua Lectures The From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos In 4 Volumes
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Author : Leon O Chua
language : en
Publisher: World Scientific
Release Date : 2020-08-19
Chua Lectures The From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos In 4 Volumes written by Leon O Chua and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-19 with Technology & Engineering categories.
This 4-volume compendium contains the verbatim hard copies of all color slides from the Chua Lecture Series presented at HP in Palo Alto, during the period from September 22 to November 24, 2015. Each lecture consists of 90 minutes, divided into a formal lecture, a discussion session, and an Encore of special trivia that the audience found mesmerizing.These lectures share some unique features of the classic Feynman Lectures on Physics, as much of the materials are presented in the unique style of the author, and the content is original as discovered or invented by the author himself. Unlike most technical books that suffer a notoriously short life span as their features could be superseded by superior models, this series of Chua lectures are intended to never be obsolete — many concepts and principles introduced are in fact new laws of nature, written in the language of sophomore-level mathematics, providing the foundation and the elan vital for initiating and nurturing future concepts and inventions.Volume I — covers everything that a researcher may want to know about memristors but is too afraid to ask.Volume II — shows that memristors can be either volatile or non-volatile, and effectively proving that synapses are non-volatile memristors, while action potentials are generated by locally-active memristors.Volume III — presents an overview of the fascinating phenomenon called chaos, while immersing the audience with the sights and sound of chaos from the Chua Circuit, invented in 1984 by Leon Chua, and has now become the standard textbook example of chaos exhibited by a real nonlinear electronic circuit, and not by computer simulations.Volume IV — surprises the audience with a new law of nature — dubbed the local activity principle, as discovered and proved mathematically in 1996 by Leon Chua. In particular, a Corollary of Chua's local activity theorem, dubbed the edge of chaos, is shown via insightful examples to be the originator of most complex phenomena, including intelligence, creativity, and deep learning. The edge of chaos is Mother Nature's tool for overcoming the tyranny of the second law of thermodynamics by providing an escape hatch for entropy to decrease over time. Indeed, the local activity principle which is profusely illustrated in the final volume, is widely recognized as a new law of thermodynamics, and is identified as the sine qua non of all complex phenomena, including life itself.Exclusive Access to the accompanying Video and Audio materials comes with the purchase of this book.
Chua Lectures The From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos Volume Ii Memristors And Cnn The Right Stuff For Ai And Brain Like Computers
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Author : Leon O Chua
language : en
Publisher: World Scientific
Release Date : 2020-08-19
Chua Lectures The From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos Volume Ii Memristors And Cnn The Right Stuff For Ai And Brain Like Computers written by Leon O Chua and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-19 with Technology & Engineering categories.
This 4-volume compendium contains the verbatim hard copies of all color slides from the Chua Lecture Series presented at HP in Palo Alto, during the period from September 22 to November 24, 2015. Each lecture consists of 90 minutes, divided into a formal lecture, a discussion session, and an Encore of special trivia that the audience found mesmerizing.These lectures share some unique features of the classic Feynman Lectures on Physics, as much of the materials are presented in the unique style of the author, and the content is original as discovered or invented by the author himself. Unlike most technical books that suffer a notoriously short life span as their features could be superseded by superior models, this series of Chua lectures are intended to never be obsolete — many concepts and principles introduced are in fact new laws of nature, written in the language of sophomore-level mathematics, providing the foundation and the elan vital for initiating and nurturing future concepts and inventions.Volume II — shows that memristors can be either volatile or non-volatile, and effectively proving that synapses are non-volatile memristors, while action potentials are generated by locally-active memristors.