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

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Release : 2019-10-07
Genre : Technology & Engineering
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Book Rating : 485/5 ( reviews)

Frequency-domain Approach To Hopf Bifurcation Analysis: Continuous Time-delayed Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Frequency-domain Approach To Hopf Bifurcation Analysis: Continuous Time-delayed Systems write by Franco Sebastian Gentile. This book was released on 2019-10-07. Frequency-domain Approach To Hopf Bifurcation Analysis: Continuous Time-delayed Systems available in PDF, EPUB and Kindle. 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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Release : 2019
Genre : Bifurcation theory
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Book Rating : 477/5 ( reviews)

Frequency-domain Approach to Hopf Bifurcation Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Frequency-domain Approach to Hopf Bifurcation Analysis write by Franco Sebastián Gentile. This book was released on 2019. Frequency-domain Approach to Hopf Bifurcation Analysis available in PDF, EPUB and Kindle.

Hopf Bifurcation Analysis: A Frequency Domain Approach

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Release : 1996-04-09
Genre : Science
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Book Rating : 102/5 ( reviews)

Hopf Bifurcation Analysis: A Frequency Domain Approach - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hopf Bifurcation Analysis: A Frequency Domain Approach write by Guanrong Chen. This book was released on 1996-04-09. Hopf Bifurcation Analysis: A Frequency Domain Approach available in PDF, EPUB and Kindle. 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

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Release : 2020-03-13
Genre : Science
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Book Rating : 763/5 ( reviews)

Toward General Theory Of Differential-operator And Kinetic Models - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Toward General Theory Of Differential-operator And Kinetic Models write by Nikolay Sidorov. This book was released on 2020-03-13. Toward General Theory Of Differential-operator And Kinetic Models available in PDF, EPUB and Kindle. 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

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Release : 2020-08-19
Genre : Technology & Engineering
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Book Rating : 901/5 ( reviews)

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 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook 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 write by Leon O Chua. This book was released on 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 available 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.