Hopf Bifurcation Analysis

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Publisher : World Scientific
ISBN 13 : 9789810226282
Total Pages : 354 pages
Book Rating : 4.2/5 (262 download)

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Book Synopsis Hopf Bifurcation Analysis by : Jorge L. Moiola

Download or read book Hopf Bifurcation Analysis written by Jorge L. Moiola and published by World Scientific. This book was released on 1996 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : World Scientific
ISBN 13 : 9811205485
Total Pages : 393 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Frequency-domain Approach To Hopf Bifurcation Analysis: Continuous Time-delayed Systems by : Franco Sebastian Gentile

Download or read book Frequency-domain Approach To Hopf Bifurcation Analysis: Continuous Time-delayed Systems written by Franco Sebastian Gentile and published by World Scientific. This book was released on 2019-10-07 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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Publisher :
ISBN 13 : 9789811205477
Total Pages : 393 pages
Book Rating : 4.2/5 (54 download)

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Book Synopsis Frequency-domain Approach to Hopf Bifurcation Analysis by : Franco Sebastián Gentile

Download or read book Frequency-domain Approach to Hopf Bifurcation Analysis written by Franco Sebastián Gentile and published by . This book was released on 2019 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hopf Bifurcations and Degeneracies in Chua's Circuit

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Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (396 download)

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Book Synopsis Hopf Bifurcations and Degeneracies in Chua's Circuit by : Jorge L. Moiola

Download or read book Hopf Bifurcations and Degeneracies in Chua's Circuit written by Jorge L. Moiola and published by . This book was released on 1998 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Neural Networks - ISNN 2005

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Publisher : Springer
ISBN 13 : 3540320652
Total Pages : 1101 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Advances in Neural Networks - ISNN 2005 by : Jun Wang

Download or read book Advances in Neural Networks - ISNN 2005 written by Jun Wang and published by Springer. This book was released on 2005-05-02 with total page 1101 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2013 Edition

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Publisher : ScholarlyEditions
ISBN 13 : 1490107509
Total Pages : 1039 pages
Book Rating : 4.4/5 (91 download)

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Book Synopsis Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2013 Edition by :

Download or read book Issues in Logic, Probability, Combinatorics, and Chaos Theory: 2013 Edition written by and published by ScholarlyEditions. This book was released on 2013-05-01 with total page 1039 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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/.

Dynamics, Bifurcations and Control

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Publisher : Springer
ISBN 13 : 3540456066
Total Pages : 300 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Dynamics, Bifurcations and Control by : Fritz Colonius

Download or read book Dynamics, Bifurcations and Control written by Fritz Colonius and published by Springer. This book was released on 2003-07-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume originates from the Third Nonlinear Control Workshop "- namics, Bifurcations and Control", held in Kloster Irsee, April 1-3 2001. As the preceding workshops held in Paris (2000) and in Ghent (1999), it was organized within the framework of Nonlinear Control Network funded by the European Union (http://www.supelec.fr/lss/NCN). The papers in this volume center around those control problems where phenomena and methods from dynamical systems theory play a dominant role. Despite the large variety of techniques and methods present in the c- tributions, a rough subdivision can be given into three areas: Bifurcation problems, stabilization and robustness, and global dynamics of control s- tems. A large part of the fascination in nonlinear control stems from the fact that is deeply rooted in engineering and mathematics alike. The contributions to this volume reflect this double nature of nonlinear control. We would like to take this opportunity to thank all the contributors and the referees for their careful work. Furthermore, it is our pleasure to thank Franchise Lamnabhi-Lagarrigue, the coordinator of our network, for her s- port in organizing the workshop and the proceedings and for the tremendous efforts she puts into this network bringing the cooperation between the d- ferent groups to a new level. In particular, the exchange and the active p- ticipation of young scientists, also reflected in the Pedagogical Schools within the Network, is an asset for the field of nonlinear control.

CONTROL SYSTEMS, ROBOTICS AND AUTOMATION – Volume XIII

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Publisher : EOLSS Publications
ISBN 13 : 1848261527
Total Pages : 516 pages
Book Rating : 4.8/5 (482 download)

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Book Synopsis CONTROL SYSTEMS, ROBOTICS AND AUTOMATION – Volume XIII by : Heinz D. Unbehauen

Download or read book CONTROL SYSTEMS, ROBOTICS AND AUTOMATION – Volume XIII written by Heinz D. Unbehauen and published by EOLSS Publications. This book was released on 2009-10-11 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Encyclopedia of Control Systems, Robotics, and Automation is a component of the global Encyclopedia of Life Support Systems EOLSS, which is an integrated compendium of twenty one Encyclopedias. This 22-volume set contains 240 chapters, each of size 5000-30000 words, with perspectives, applications and extensive illustrations. It is the only publication of its kind carrying state-of-the-art knowledge in the fields of Control Systems, Robotics, and Automation and is aimed, by virtue of the several applications, at the following five major target audiences: University and College Students, Educators, Professional Practitioners, Research Personnel and Policy Analysts, Managers, and Decision Makers and NGOs.

Bifurcation Control

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540403418
Total Pages : 344 pages
Book Rating : 4.4/5 (34 download)

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Book Synopsis Bifurcation Control by : Guanrong Chen

Download or read book Bifurcation Control written by Guanrong Chen and published by Springer Science & Business Media. This book was released on 2003-08-26 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bifurcation control refers to the task of designing a controller that can modify the bifurcation properties of a given nonlinear system, so as to achieve some desirable dynamical behaviors. There exists no similar control theory-oriented book available in the market that is devoted to the subject of bifurcation control, written by control engineers for control engineers. World-renowned leading experts in the field provide their state-of-the-art survey about the extensive research that has been done over the last few years in this subject. The book is not only aimed at active researchers in the field of bifurcation control and its applications, but also at a general audience in related fields.

Advances in Science and Engineering

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Publisher : Trans Tech Publications Ltd
ISBN 13 : 3038135232
Total Pages : 1080 pages
Book Rating : 4.0/5 (381 download)

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Book Synopsis Advances in Science and Engineering by : Zhi Lin Zhu

Download or read book Advances in Science and Engineering written by Zhi Lin Zhu and published by Trans Tech Publications Ltd. This book was released on 2010-11-11 with total page 1080 pages. Available in PDF, EPUB and Kindle. Book excerpt: This special collection of peer reviewed papers focuses on frontier topics in the fields of theoretical and applied engineering and science. Volume is indexed by Thomson Reuters CPCI-S (WoS). The 170 selected high-quality papers are grouped under seven rubrics: Automation, Advanced Intelligence and Bio-informatics, Electronic & Energy, Communication, Image Processing and Information, Mechanical Engineering, Other Applications.

Elements of Applied Bifurcation Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1475739788
Total Pages : 648 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Elements of Applied Bifurcation Theory by : Yuri Kuznetsov

Download or read book Elements of Applied Bifurcation Theory written by Yuri Kuznetsov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 932 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings

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Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Proceedings by :

Download or read book Proceedings written by and published by . This book was released on 1997 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Revista de la Unión Matemática Argentina y de la Asociación Física Argentina

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Publisher :
ISBN 13 :
Total Pages : 596 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Revista de la Unión Matemática Argentina y de la Asociación Física Argentina by : Unión matemática argentina, Buenos Aires

Download or read book Revista de la Unión Matemática Argentina y de la Asociación Física Argentina written by Unión matemática argentina, Buenos Aires and published by . This book was released on 2006 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Acta Physica Sinica

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ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Acta Physica Sinica by :

Download or read book Acta Physica Sinica written by and published by . This book was released on 1999 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hopf Bifurcation in the Driven Cavity

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Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Hopf Bifurcation in the Driven Cavity by : John W. Goodrich

Download or read book Hopf Bifurcation in the Driven Cavity written by John W. Goodrich and published by . This book was released on 1989 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Hopf Bifurcation and Its Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1461263743
Total Pages : 420 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Hopf Bifurcation and Its Applications by : J. E. Marsden

Download or read book The Hopf Bifurcation and Its Applications written by J. E. Marsden and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of these notes is to give a reasonahly com plete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to spe cific problems, including stability calculations. Historical ly, the subject had its origins in the works of Poincare [1] around 1892 and was extensively discussed by Andronov and Witt [1] and their co-workers starting around 1930. Hopf's basic paper [1] appeared in 1942. Although the term "Poincare Andronov-Hopf bifurcation" is more accurate (sometimes Friedrichs is also included), the name "Hopf Bifurcation" seems more common, so we have used it. Hopf's crucial contribution was the extension from two dimensions to higher dimensions. The principal technique employed in the body of the text is that of invariant manifolds. The method of Ruelle Takens [1] is followed, with details, examples and proofs added. Several parts of the exposition in the main text come from papers of P. Chernoff, J. Dorroh, O. Lanford and F. Weissler to whom we are grateful. The general method of invariant manifolds is common in dynamical systems and in ordinary differential equations: see for example, Hale [1,2] and Hartman [1]. Of course, other methods are also available. In an attempt to keep the picture balanced, we have included samples of alternative approaches. Specifically, we have included a translation (by L. Howard and N. Kopell) of Hopf's original (and generally unavailable) paper.