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.
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.
Frequency-domain Methods for Nonlinear Analysis
Frequency-domain Methods for Nonlinear 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 Methods for Nonlinear Analysis write by Gennadi? Alekseevich Leonov. This book was released on 1996. Frequency-domain Methods for Nonlinear Analysis available in PDF, EPUB and Kindle. This book deals with the investigation of global attractors of nonlinear dynamical systems. The exposition proceeds from the simplest attractor of a single equilibrium to more complicated ones, i.e. to finite, denumerable and continuum equilibria sets; and further, to cycles, homoclinic and heteroclinic orbits; and finally, to strange attractors consisting of irregular unstable trajectories. On the complicated equilibria sets, the methods of Lyapunov stability theory are transferred. They are combined with stability techniques specially elaborated for such sets. The results are formulated as frequency-domain criteria. The methods connected with the theorems of existence of cycles and homoclinic orbits are developed. The estimates of Hausdorff dimensions of attractors are presented.
Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2013 Edition
Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2013 Edition - 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 Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2013 Edition write by . This book was released on 2013-05-01. Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2013 Edition available in PDF, EPUB and Kindle. Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Approximation Theory. The editors have built Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Approximation Theory in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
