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 Hopf Bifurcation Analysis write by Jorge L. Moiola. This book was released on 1996. Hopf Bifurcation Analysis 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.
Frequency-domain Approach To Hopf Bifurcation Analysis: Continuous Time-delayed Systems
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.
Hopf Bifurcation Analysis: A Frequency Domain Approach
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.
Frequency-domain Approach to Hopf Bifurcation Analysis
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.
Advances in Neural Networks - ISNN 2005
Advances in Neural Networks - ISNN 2005 - 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 Advances in Neural Networks - ISNN 2005 write by Jun Wang. This book was released on 2005-05-02. Advances in Neural Networks - ISNN 2005 available in PDF, EPUB and Kindle. The three volume set LNCS 3496/3497/3498 constitutes the refereed proceedings of the Second International Symposium on Neural Networks, ISNN 2005, held in Chongqing, China in May/June 2005. The 483 revised papers presented were carefully reviewed and selected from 1.425 submissions. The papers are organized in topical sections on theoretical analysis, model design, learning methods, optimization methods, kernel methods, component analysis, pattern analysis, systems modeling, signal processing, image processing, financial analysis, control systems, robotic systems, telecommunication networks, incidence detection, fault diagnosis, power systems, biomedical applications, industrial applications, and other applications.
