Structure And Bifurcations Of Dynamical Systems
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Structure And Bifurcations Of Dynamical Systems Proceedings Of The Rims Conference
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Author : Shigehiro Ushiki
language : en
Publisher: World Scientific
Release Date : 1992-12-18
Structure And Bifurcations Of Dynamical Systems Proceedings Of The Rims Conference written by Shigehiro Ushiki and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-12-18 with categories.
The contents of this volume consist of 15 lectures on mathematics and its applications which include the following topics: dynamics of neural network, phase transition of cellular automata, homoclinic bifurcations, ergodic theories of low dimensional dynamical systems, Anosov endomorphisms and Anosov flows, axiom A systems, complex dynamical systems, multi-dimensional holomorphic dynamical systems and holomorphic vector fields.
Proceedings Of The Rims Conference Structure And Bifurcations Of Dynamical Systems
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Author :
language : en
Publisher:
Release Date : 1992
Proceedings Of The Rims Conference Structure And Bifurcations Of Dynamical Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Bifurcation theory 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.
Bifurcation And Chaos In Engineering
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Author : Yushu Chen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Bifurcation And Chaos In Engineering written by Yushu Chen 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 2012-12-06 with Science categories.
For the many different deterministic non-linear dynamic systems (physical, mechanical, technical, chemical, ecological, economic, and civil and structural engineering), the discovery of irregular vibrations in addition to periodic and almost periodic vibrations is one of the most significant achievements of modern science. An in-depth study of the theory and application of non-linear science will certainly change one's perception of numerous non-linear phenomena and laws considerably, together with its great effects on many areas of application. As the important subject matter of non-linear science, bifurcation theory, singularity theory and chaos theory have developed rapidly in the past two or three decades. They are now advancing vigorously in their applications to mathematics, physics, mechanics and many technical areas worldwide, and they will be the main subjects of our concern. This book is concerned with applications of the methods of dynamic systems and subharmonic bifurcation theory in the study of non-linear dynamics in engineering. It has grown out of the class notes for graduate courses on bifurcation theory, chaos and application theory of non-linear dynamic systems, supplemented with our latest results of scientific research and materials from literature in this field. The bifurcation and chaotic vibration of deterministic non-linear dynamic systems are studied from the viewpoint of non-linear vibration.
Structure And Bifurcations Of Dynamical Systems
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Author :
language : en
Publisher:
Release Date : 1992
Structure And Bifurcations Of Dynamical Systems written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Bifurcation theory categories.
Imperfect Bifurcation In Structures And Materials
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Author : Kiyohiro Ikeda
language : en
Publisher: Springer Nature
Release Date : 2019-09-25
Imperfect Bifurcation In Structures And Materials written by Kiyohiro Ikeda and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-25 with Science 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.
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.
Structural Dynamic Systems Computational Techniques And Optimization
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Author : Cornelius T. Leondes
language : en
Publisher: CRC Press
Release Date : 2024-12-20
Structural Dynamic Systems Computational Techniques And Optimization written by Cornelius T. Leondes and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-20 with Technology & Engineering categories.
Nonlinear structural dynamic systems which are multi-degree of freedom systems involve, for instance, matrix dynamic equilibrium equations, which can be of various order up to very high order. In these equations, the nonlinear quantities can be dependent on time and other terms, such as scalar variables, which are dependent on time. Frequency response and response time derivatives would also, of course, be involved. Nonlinear terms can account for dissipative phenomena and can be due to other physical phenomena. In fact, many engineering structures involve time-dependent properties such as, stiffness elements of specific structural components which can change according to the stress level. Other examples of dynamic elements of nonlinear structural systems can include system mass and damping distribution elements which evolve with time, such as railway or highway bridges and other structures, which interact with external agencies generating the system motion (for example, trains, a queue of vehicles, or other external agencies.) This volume is a rather comprehensive treatment of many of the techniques and methods which are utilized for the analysis of nonlinear structural dynamic systems.
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.
Structural Engineering Mechanics And Computation
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Author : A. Zingoni
language : en
Publisher: Elsevier
Release Date : 2001-03-16
Structural Engineering Mechanics And Computation written by A. Zingoni and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-16 with Technology & Engineering categories.
Following on from the International Conference on Structural Engineering, Mechanics and Computation, held in Cape Town in April 2001, this book contains the Proceedings, in two volumes. There are over 170 papers written by Authors from around 40 countries worldwide. The contributions include 6 Keynote Papers and 12 Special Invited Papers. In line with the aims of the SEMC 2001 International Conference, and as may be seen from the List of Contents, the papers cover a wide range of topics under a variety of themes. There is a healthy balance between papers of a theoretical nature, concerned with various aspects of structural mechanics and computational issues, and those of a more practical nature, addressing issues of design, safety and construction. As the contributions in these Proceedings show, new and more efficient methods of structural analysis and numerical computation are being explored all the time, while exciting structural materials such as glass have recently come onto the scene. Research interest in the repair and rehabilitation of existing infrastructure continues to grow, particularly in Europe and North America, while the challenges to protect human life and property against the effects of fire, earthquakes and other hazards are being addressed through the development of more appropriate design methods for buildings, bridges and other engineering structures.