Frequency-domain Approach To Hopf Bifurcation Analysis: Continuous Time-delayed Systems

Frequency-domain Approach To Hopf Bifurcation Analysis: Continuous Time-delayed Systems
Title Frequency-domain Approach To Hopf Bifurcation Analysis: Continuous Time-delayed Systems PDF eBook
Author Franco Sebastian Gentile
Publisher World Scientific
Pages 393
Release 2019-10-07
Genre Technology & Engineering
ISBN 9811205485

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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

Frequency-domain Approach to Hopf Bifurcation Analysis
Title Frequency-domain Approach to Hopf Bifurcation Analysis PDF eBook
Author Franco Sebastián Gentile
Publisher
Pages 393
Release 2019
Genre Bifurcation theory
ISBN 9789811205477

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Hopf Bifurcation Analysis: A Frequency Domain Approach

Hopf Bifurcation Analysis: A Frequency Domain Approach
Title Hopf Bifurcation Analysis: A Frequency Domain Approach PDF eBook
Author Guanrong Chen
Publisher World Scientific
Pages 346
Release 1996-04-09
Genre Science
ISBN 9814499102

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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.

Toward General Theory Of Differential-operator And Kinetic Models

Toward General Theory Of Differential-operator And Kinetic Models
Title Toward General Theory Of Differential-operator And Kinetic Models PDF eBook
Author Nikolay Sidorov
Publisher World Scientific
Pages 495
Release 2020-03-13
Genre Science
ISBN 9811213763

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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 Ii. Memristors And Cnn: The Right Stuff For Ai And Brain-like Computers

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
Title 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 PDF eBook
Author Leon O Chua
Publisher World Scientific
Pages 248
Release 2020-08-19
Genre Technology & Engineering
ISBN 9811215901

Download 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 Book in PDF, Epub and Kindle

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.

Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos (In 4 Volumes)

Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos (In 4 Volumes)
Title Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos (In 4 Volumes) PDF eBook
Author Leon O Chua
Publisher World Scientific
Pages 1008
Release 2020-08-19
Genre Technology & Engineering
ISBN 9811228930

Download Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos (In 4 Volumes) Book in PDF, Epub and Kindle

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 I. Memristors: New Circuit Element With Memory

Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos - Volume I. Memristors: New Circuit Element With Memory
Title Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos - Volume I. Memristors: New Circuit Element With Memory PDF eBook
Author Leon O Chua
Publisher World Scientific
Pages 216
Release 2020-08-19
Genre Technology & Engineering
ISBN 9811215898

Download Chua Lectures, The: From Memristors And Cellular Nonlinear Networks To The Edge Of Chaos - Volume I. Memristors: New Circuit Element With Memory Book in PDF, Epub and Kindle

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.