Analyzing Multiscale Phenomena Using Singular Perturbation Methods

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Publisher : American Mathematical Soc.
ISBN 13 : 0821809296
Total Pages : 201 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Analyzing Multiscale Phenomena Using Singular Perturbation Methods by : Jane Cronin

Download or read book Analyzing Multiscale Phenomena Using Singular Perturbation Methods written by Jane Cronin and published by American Mathematical Soc.. This book was released on 1999 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: To understand multiscale phenomena, it is essential to employ asymptotic methods to construct approximate solutions and to design effective computational algorithms. This volume consists of articles based on the AMS Short Course in Singular Perturbations held at the annual Joint Mathematics Meetings in Baltimore (MD). Leading experts discussed the following topics which they expand upon in the book: boundary layer theory, matched expansions, multiple scales, geometric theory, computational techniques, and applications in physiology and dynamic metastability. Readers will find that this text offers an up-to-date survey of this important field with numerous references to the current literature, both pure and applied.

Multiple-Time-Scale Dynamical Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461301173
Total Pages : 278 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Multiple-Time-Scale Dynamical Systems by : Christopher K.R.T. Jones

Download or read book Multiple-Time-Scale Dynamical Systems written by Christopher K.R.T. Jones and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems with sub-processes evolving on many different time scales are ubiquitous in applications: chemical reactions, electro-optical and neuro-biological systems, to name just a few. This volume contains papers that expose the state of the art in mathematical techniques for analyzing such systems. Recently developed geometric ideas are highlighted in this work that includes a theory of relaxation-oscillation phenomena in higher dimensional phase spaces. Subtle exponentially small effects result from singular perturbations implicit in certain multiple time scale systems. Their role in the slow motion of fronts, bifurcations, and jumping between invariant tori are all explored here. Neurobiology has played a particularly stimulating role in the development of these techniques and one paper is directed specifically at applying geometric singular perturbation theory to reveal the synchrony in networks of neural oscillators.

Dissertation Abstracts International

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Publisher :
ISBN 13 :
Total Pages : 794 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 2005 with total page 794 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multiple Time Scale Dynamics

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Publisher : Springer
ISBN 13 : 3319123165
Total Pages : 816 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Multiple Time Scale Dynamics by : Christian Kuehn

Download or read book Multiple Time Scale Dynamics written by Christian Kuehn and published by Springer. This book was released on 2015-02-25 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form. The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a wide variety of different mathematical techniques into a more unified framework. The book is highly illustrated with many examples and exercises and an extensive bibliography. The target audience of this book are senior undergraduates, graduate students as well as researchers interested in using the multiple time scale dynamics theory in nonlinear science, either from a theoretical or a mathematical modeling perspective.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 980 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 2006 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Dynamical Systems

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Publisher : Gulf Professional Publishing
ISBN 13 : 0080532845
Total Pages : 1099 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Dynamical Systems by : B. Fiedler

Download or read book Handbook of Dynamical Systems written by B. Fiedler and published by Gulf Professional Publishing. This book was released on 2002-02-21 with total page 1099 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook is volume II in a series collecting mathematical state-of-the-art surveys in the field of dynamical systems. Much of this field has developed from interactions with other areas of science, and this volume shows how concepts of dynamical systems further the understanding of mathematical issues that arise in applications. Although modeling issues are addressed, the central theme is the mathematically rigorous investigation of the resulting differential equations and their dynamic behavior. However, the authors and editors have made an effort to ensure readability on a non-technical level for mathematicians from other fields and for other scientists and engineers. The eighteen surveys collected here do not aspire to encyclopedic completeness, but present selected paradigms. The surveys are grouped into those emphasizing finite-dimensional methods, numerics, topological methods, and partial differential equations. Application areas include the dynamics of neural networks, fluid flows, nonlinear optics, and many others.While the survey articles can be read independently, they deeply share recurrent themes from dynamical systems. Attractors, bifurcations, center manifolds, dimension reduction, ergodicity, homoclinicity, hyperbolicity, invariant and inertial manifolds, normal forms, recurrence, shift dynamics, stability, to namejust a few, are ubiquitous dynamical concepts throughout the articles.

Methods and Applications of Analysis

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Publisher :
ISBN 13 :
Total Pages : 736 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Methods and Applications of Analysis by :

Download or read book Methods and Applications of Analysis written by and published by . This book was released on 2001 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Boundaries, Interfaces, and Transitions

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821805053
Total Pages : 364 pages
Book Rating : 4.8/5 (5 download)

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Book Synopsis Boundaries, Interfaces, and Transitions by : Michel C. Delfour

Download or read book Boundaries, Interfaces, and Transitions written by Michel C. Delfour and published by American Mathematical Soc.. This book was released on 1998 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together tools that have been developed in a priori distant areas of mathematics, mechanics and physics. It provides coverage of selected contemporary problems in the areas of optimal design, mathematical models in material sciences, hysteresis, superconductivity, phase transition, crystal growth, moving boundary problems, thin shells and some of the associated numerical issues.

Phase Transition Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 1461489636
Total Pages : 575 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Phase Transition Dynamics by : Tian Ma

Download or read book Phase Transition Dynamics written by Tian Ma and published by Springer Science & Business Media. This book was released on 2013-11-09 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences. The main objectives of this book are to introduce a general principle of dynamic transitions for dissipative systems, to establish a systematic dynamic transition theory, and to explore the physical implications of applications of the theory to a range of problems in the nonlinear sciences. The basic philosophy of the theory is to search for a complete set of transition states, and the general principle states that dynamic transitions of all dissipative systems can be classified into three categories: continuous, catastrophic and random. The audience for this book includes advanced graduate students and researchers in mathematics and physics as well as in other related fields.

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 500 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:

New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena

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Publisher : Springer Science & Business Media
ISBN 13 : 1468474790
Total Pages : 341 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena by : Pierre Coullet

Download or read book New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena written by Pierre Coullet and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basic aim of the NATO Advanced Research Workshop on "New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena: The Geometry of Nonequilibrium" was to bring together researchers from various areas of physics to review and explore new ideas regarding the organisation of systems driven far from equilibrium. Such systems are characterized by a close relationship between broken spatial and tempo ral symmetries. The main topics of interest included pattern formation in chemical systems, materials and convection, traveling waves in binary fluids and liquid crystals, defects and their role in the disorganisa tion of structures, spatio-temporal intermittency, instabilities and large-scale vortices in open flows, the mathematics of non-equilibrium systems, turbulence, and last but not least growth phenomena. Written contributions from participants have been grouped into chapters addressing these different areas. For additional clarity, the first chapter on pattern formation has been subdivided into sections. One of the main concerns was to focus on the unifying features between these diverse topics. The various scientific communities repre sented were encouraged to discuss and compare their approach so as to mutually benefit their respective fields. We hope that, to a large degree, these goals have been met and we thank all the participants for their efforts. The workshop was held in Cargese (Corsica, France) at the Institut d'Etudes Scientifiques from August 2nd to August 12th, 1988. We greatly thank Yves Pomeau and Daniel Walgraef who, as members of the organising committee, gave us valuable advice and encouragements.

Applied Mechanics Reviews

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Publisher :
ISBN 13 :
Total Pages : 864 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1985 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Physics Briefs

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Publisher :
ISBN 13 :
Total Pages : 1420 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Physics Briefs by :

Download or read book Physics Briefs written by and published by . This book was released on 1993 with total page 1420 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Essentials of Flow Assurance Solids in Oil and Gas Operations

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Publisher : Gulf Professional Publishing
ISBN 13 : 0323995918
Total Pages : 1124 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Essentials of Flow Assurance Solids in Oil and Gas Operations by : Abdullah Hussein

Download or read book Essentials of Flow Assurance Solids in Oil and Gas Operations written by Abdullah Hussein and published by Gulf Professional Publishing. This book was released on 2022-10-19 with total page 1124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Flow assurance solids deposition is one of the main challenges in oil and gas production operations with millions of dollars spent annually on their mitigation. Essentials of Flow Assurance Solids in Oil and Gas Operations works as an all-inclusive reference for engineers and researchers, covering all the different types of solids that are commonly encountered in oil and gas fields. Structured to flow through real-world operations, the reference branches through each solid deposit problem where the root causes are as well as modeling, monitoring, characterization, and management strategies, all comprehensively reviewed in the light of contemporary research breakthroughs. Backed by several field case studies, Essentials of Flow Assurance Solids in Oil and Gas Operations gives petroleum and reservoir engineers a resource to correlate between the theoretical fundamentals and field practical applications allowing for sustainable and optimal operations. - Provides the main operations of oil and gas fields, the characteristics of produced fluids, and the main flow assurance challenges - Furnishes the basic principles of deposits formation and mitigation, starting with a full investigation of the problems, then mechanisms, causes, predictions, modelling, and sample analysis, followed by management - Distinctively discusses the operational and environmental implications of flow assurance solids and their management using chemical and nonchemical methods - Teaches engineers through impactful visuals and data sets included in every chapter

Encyclopedia of Nonlinear Science

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Publisher : Routledge
ISBN 13 : 1135455589
Total Pages : 1107 pages
Book Rating : 4.1/5 (354 download)

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Book Synopsis Encyclopedia of Nonlinear Science by : Alwyn Scott

Download or read book Encyclopedia of Nonlinear Science written by Alwyn Scott and published by Routledge. This book was released on 2006-05-17 with total page 1107 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.

Nuclear Science and Technology, a Selective Bibliography

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Publisher :
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Nuclear Science and Technology, a Selective Bibliography by : U.S. Atomic Energy Commission

Download or read book Nuclear Science and Technology, a Selective Bibliography written by U.S. Atomic Energy Commission and published by . This book was released on 1958 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:

TID.

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Publisher :
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis TID. by :

Download or read book TID. written by and published by . This book was released on 19?? with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: