New Directions In Differential Equations And Dynamical Systems
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New Directions In Differential Equations And Dynamical Systems
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Author : Jack K. Hale
language : en
Publisher:
Release Date : 1991
New Directions In Differential Equations And Dynamical Systems written by Jack K. Hale and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Differentiable dynamical systems categories.
Delay Differential Equations
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Author : Balakumar Balachandran
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-05
Delay Differential Equations written by Balakumar Balachandran 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 2009-04-05 with Technology & Engineering categories.
Delay Differential Equations: Recent Advances and New Directions cohesively presents contributions from leading experts on the theory and applications of functional and delay differential equations (DDEs). Students and researchers will benefit from a unique focus on theory, symbolic, and numerical methods, which illustrate how the concepts described can be applied to practical systems ranging from automotive engines to remote control over the Internet. Comprehensive coverage of recent advances, analytical contributions, computational techniques, and illustrative examples of the application of current results drawn from biology, physics, mechanics, and control theory. Students, engineers and researchers from various scientific fields will find Delay Differential Equations: Recent Advances and New Directions a valuable reference.
New Directions In Dynamical Systems
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Author : T. Bedford
language : en
Publisher: Cambridge University Press
Release Date : 1988-02-11
New Directions In Dynamical Systems written by T. Bedford and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-02-11 with Mathematics categories.
This book comprises a collection of survey articles that review the state of progress in several different areas of research into dynamical systems theory. Each paper is intended to provide both an overview of a specific area and an introduction of new ideas and techniques.
New Directions In Dynamical Systems
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Author : T. Bedford
language : en
Publisher:
Release Date : 2014-05-14
New Directions In Dynamical Systems written by T. Bedford and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with SCIENCE categories.
Dynamical systems is an area of intense research activity and one which finds application in many other areas of mathematics. This volume comprises a collection of survey articles that review several different areas of research. Each paper is intended to provide both an overview of a specific area and an introduction to new ideas and techniques. The authors have been encouraged to include a selection of open questions as a spur to further research. Topics covered include global bifurcations in chaotic o.d.e.s, knotted orbits in differential equations, bifurcations with symmetry, renormalization and universality, and one-dimensional dynamics. Articles include comprehensive lists of references to the research literature and consequently the volume will provide an excellent guide to dynamical systems research for graduate students coming to the subject and for research mathematicians.
New Directions For Dynamical Systems
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Author : Robert James Elliott
language : en
Publisher:
Release Date : 1975-01-01
New Directions For Dynamical Systems written by Robert James Elliott and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-01-01 with Differential equations categories.
Introduction To Differential Equations And Dynamical Systems
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Author : Richard E. Williamson
language : en
Publisher: McGraw-Hill Science, Engineering & Mathematics
Release Date : 1997
Introduction To Differential Equations And Dynamical Systems written by Richard E. Williamson and has been published by McGraw-Hill Science, Engineering & Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Differentiable dynamical systems categories.
This textbook offers a foundation for a first course in differential equations, covering traditional areas in addition to topics such as dynamical systems. Numerical methods and problem-solving techniques are emphasized throughout the text. Discussion of computer use (Mathematica and Maple) is also included where appropriate, and where individual exercises are marked with an icon, they are best solved with the help of a computer or calculator.
Differential Equations And Dynamical Systems
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Author : Antonio Galves
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Differential Equations And Dynamical Systems written by Antonio Galves and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Differentiable dynamical systems categories.
This volume contains contributed papers authored by participants of a Conference on Differential Equations and Dynamical Systems which was held at the Instituto Superior Tecnico (Lisbon, Portugal). The conference brought together a large number of specialists in the area of differential equations and dynamical systems and provided an opportunity to celebrate Professor Waldyr Oliva's 70th birthday, honoring his fundamental contributions to the field. The volume constitutes anoverview of the current research over a wide range of topics, extending from qualitative theory for (ordinary, partial or functional) differential equations to hyperbolic dynamics and ergodic theory.
The Connection Between Infinite Dimensional And Finite Dimensional Dynamical Systems
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Author : Basil Nicolaenko
language : en
Publisher: American Mathematical Soc.
Release Date : 1989
The Connection Between Infinite Dimensional And Finite Dimensional Dynamical Systems written by Basil Nicolaenko and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.
The last few years have seen a number of major developments demonstrating that the long-term behavior of solutions of a very large class of partial differential equations possesses a striking resemblance to the behavior of solutions of finite dimensional dynamical systems, or ordinary differential equations. The first of these advances was the discovery that a dissipative PDE has a compact, global attractor with finite Hausdorff and fractal dimensions. More recently, it was shown that some of these PDEs possess a finite dimensional inertial manifold-that is, an invariant manifold containing the attractor and exponentially attractive trajectories. With the improved understanding of the exact connection between finite dimensional dynamical systems and various classes of dissipative PDEs, it is now realistic to hope that the wealth of studies of such topics as bifurcations of finite vector fields and ``strange'' fractal attractors can be brought to bear on various mathematical models, including continuum flows. Surprisingly, a number of distributed systems from continuum mechanics have been found to exhibit the same nontrivial dynamic behavior as observed in low-dimensional dynamical systems. As a natural consequence of these observations, a new direction of research has arisen: detection and analysis of finite dimensional dynamical characteristics of infinite-dimensional systems. This book represents the proceedings of an AMS-IMS-SIAM Summer Research Conference, held in July, 1987 at the University of Colorado at Boulder. Bringing together mathematicians and physicists, the conference provided a forum for presentations on the latest developments in the field and fostered lively interactions on open questions and future directions. With contributions from some of the top experts, these proceedings will provide readers with an overview of this vital area of research.
Ordinary Differential Equations And Dynamical Systems
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Author : Thomas C. Sideris
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-17
Ordinary Differential Equations And Dynamical Systems written by Thomas C. Sideris 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 2013-10-17 with Mathematics categories.
This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students. Students should have a solid background in analysis and linear algebra. The presentation emphasizes commonly used techniques without necessarily striving for completeness or for the treatment of a large number of topics. The first half of the book is devoted to the development of the basic theory: linear systems, existence and uniqueness of solutions to the initial value problem, flows, stability, and smooth dependence of solutions upon initial conditions and parameters. Much of this theory also serves as the paradigm for evolutionary partial differential equations. The second half of the book is devoted to geometric theory: topological conjugacy, invariant manifolds, existence and stability of periodic solutions, bifurcations, normal forms, and the existence of transverse homoclinic points and their link to chaotic dynamics. A common thread throughout the second part is the use of the implicit function theorem in Banach space. Chapter 5, devoted to this topic, the serves as the bridge between the two halves of the book.
New Directions In Dynamical Systems Automatic Control And Singular Perturbations
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Author : John O’Reilly
language : en
Publisher: Troubador Publishing Ltd
Release Date : 2022-09-14
New Directions In Dynamical Systems Automatic Control And Singular Perturbations written by John O’Reilly and has been published by Troubador Publishing Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-14 with Technology & Engineering categories.
With this short book, Professor O'Reilly brings his considerable engineering experience to bear upon three subjects close to his heart: dynamical systems, automatic control and singular perturbations.