Elements Of Applied Bifurcation Theory
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Elements Of Applied Bifurcation Theory
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Author : Yuri Kuznetsov
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-06-29
Elements Of Applied Bifurcation Theory written by Yuri Kuznetsov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-29 with Mathematics categories.
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.
Elements Of Applied Bifurcation Theory
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Author : Yuri A. Kuznetsov
language : en
Publisher: Springer Nature
Release Date : 2023-04-18
Elements Of Applied Bifurcation Theory written by Yuri A. Kuznetsov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-18 with Mathematics categories.
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.
Elements Of Applied Bifurcation Theory
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Author : Yuri Kuznetsov
language : en
Publisher:
Release Date : 2014-01-15
Elements Of Applied Bifurcation Theory written by Yuri Kuznetsov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Elements Of Applied Bifurcation Theory
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Author : Yuri Aleksandrovich Kuznetsov
language : en
Publisher:
Release Date : 1995
Elements Of Applied Bifurcation Theory written by Yuri Aleksandrovich Kuznetsov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Elements Of Applied Bifurcation Theory
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Author : Yuri Kuznetsov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Elements Of Applied Bifurcation Theory written by Yuri Kuznetsov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
The years that have passed since the publication of the first edition of this book proved that the basic principles used to select and present the material made sense. The idea was to write a simple text that could serve as a seri ous introduction to the subject. Of course, the meaning of "simplicity" varies from person to person and from country to country. The word "introduction" contains even more ambiguity. To start reading this book, only a moder ate knowledge of linear algebra and calculus is required. Other preliminaries, qualified as "elementary" in modern mathematics, are explicitly formulated in the book. These include the Fredholm Alternative for linear systems and the multidimensional Implicit Function Theorem. Using these very limited tools, a framewo:k of notions, results, and methods is gradually built that allows one to read (and possibly write) scientific papers on bifurcations of nonlinear dynamical systems. Among other things, progress in the sciences means that mathematical results and methods that once were new become standard and routinely used by the research and development community. Hopefully, this edition of the book will contribute to this process. The book's structure has been kept intact. Most of the changes introduced reflect recent theoretical and software developments in which the author was involved. Important changes in the third edition can be summarized as follows. A new section devoted to the fold-flip bifurcation for maps has appeared in Chapter 9.
Elements Of Applied Bifurcation Theory
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Author : I︠U︡riĭ Aleksandrovich Kuznet︠s︡ov
language : en
Publisher: Springer
Release Date : 1995-06-13
Elements Of Applied Bifurcation Theory written by I︠U︡riĭ Aleksandrovich Kuznet︠s︡ov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-06-13 with Mathematics categories.
A solid basis for anyone studying the dynamical systems theory, providing the necessary understanding of the approaches, methods, results and terminology used in the modern applied-mathematics literature. Covering the basic topics in the field, the text can be used in a course on nonlinear dynamical systems or system theory. Special attention is given to efficient numerical implementations of the developed techniques, illustrated by several examples from recent research papers. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used, making this book suitable for advanced undergraduate or graduate students in applied mathematics, as well as for researchers in other disciplines who use dynamical systems as model tools in their studies.
Elements Of Applied Bifurcation Theory
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Author : Yuri Kuznetsov
language : en
Publisher: Springer
Release Date : 1998-09-18
Elements Of Applied Bifurcation Theory written by Yuri Kuznetsov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-18 with Mathematics categories.
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.
Bifurcation Theory With Applications
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Author : Terry E. Moschandreou
language : en
Publisher: BoD – Books on Demand
Release Date : 2024-12-11
Bifurcation Theory With Applications written by Terry E. Moschandreou and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-11 with Mathematics categories.
Bifurcation Theory with Applications is a collection of chapters that describe the theory and application of nonlinear dynamics to a wide variety of problems in physics and engineering. Each chapter is self-contained and includes an introduction, main contributions, and details of up-to-date theoretical, computational, and experimental results. The book examines various practical systems, including models of target detection in cells through the analysis of bio-nanomachine, attractant, and repellent concentrations. It addresses the quasistatic evolution of anelastic structures, explores the generation of triangular patterns through anisotropic diffusion, and discusses the stabilization of time-delay distributed bilinear systems in spatial domains. Topics also include optimal control challenges in bilinear systems with unbounded and bounded control sets, forward bifurcation in hepatitis B virus infection models, and the bifurcation of hematological stem cells with feedback control in a biological context. The book is designed for theorists, applied mathematicians, and engineers across diverse scientific disciplines, serving as a valuable resource for anyone interested in bifurcation theory’s wide-ranging applications.
Finite Element Analysis Of Acoustic Scattering
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Author : Frank Ihlenburg
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-29
Finite Element Analysis Of Acoustic Scattering written by Frank Ihlenburg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-29 with Mathematics categories.
A cognitive journey towards the reliable simulation of scattering problems using finite element methods, with the pre-asymptotic analysis of Galerkin FEM for the Helmholtz equation with moderate and large wave number forming the core of this book. Starting from the basic physical assumptions, the author methodically develops both the strong and weak forms of the governing equations, while the main chapter on finite element analysis is preceded by a systematic treatment of Galerkin methods for indefinite sesquilinear forms. In the final chapter, three dimensional computational simulations are presented and compared with experimental data. The author also includes broad reference material on numerical methods for the Helmholtz equation in unbounded domains, including Dirichlet-to-Neumann methods, absorbing boundary conditions, infinite elements and the perfectly matched layer. A self-contained and easily readable work.
Imperfect Bifurcation In Structures And Materials
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Author : Kiyohiro Ikeda
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-05
Imperfect Bifurcation In Structures And Materials written by Kiyohiro Ikeda and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-05 with Technology & Engineering categories.
Most physical systems lose or gain stability through bifurcation behavior. This book explains a series of experimentally found bifurcation phenomena by means of the methods of static bifurcation theory.