Lectures on Bifurcations, Dynamics and Symmetry
Lectures on Bifurcations, Dynamics and Symmetry

Author: Michael J. Field

Publisher: CRC Press

Published: 2020-02-17

Total Pages: 168

ISBN-13: 1000657752

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This book is an expanded version of a Master Class on the symmetric bifurcation theory of differential equations given by the author at the University of Twente in 1995. The notes cover a wide range of recent results in the subject, and focus on the dynamics that can appear in the generic bifurcation theory of symmetric differential equations. This text covers a wide range of current results in the subject of bifurcations, dynamics and symmetry. The style and format of the original lectures has largely been maintained and the notes include over 70 exercises.

Symmetry And Perturbation Theory (Spt 2001), Proceedings Of The International Conference
Symmetry And Perturbation Theory (Spt 2001), Proceedings Of The International Conference

Author: Dario Bambusi

Publisher: World Scientific

Published: 2001-10-19

Total Pages: 260

ISBN-13: 9814489727

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The third conference on “Symmetry and Perturbation Theory” (SPT2001) was attended by over 50 mathematicians, physicists and chemists. The proceedings present the advancement of research in this field — more precisely, in the different fields at whose crossroads symmetry and perturbation theory sit.

Numerical Methods for Bifurcations of Dynamical Equilibria
Numerical Methods for Bifurcations of Dynamical Equilibria

Author: Willy J. F. Govaerts

Publisher: SIAM

Published: 2000-01-01

Total Pages: 384

ISBN-13: 9780898719543

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Dynamical systems arise in all fields of applied mathematics. The author focuses on the description of numerical methods for the detection, computation, and continuation of equilibria and bifurcation points of equilibria of dynamical systems. This subfield has the particular attraction of having links with the geometric theory of differential equations, numerical analysis, and linear algebra.

The Symmetry Perspective
The Symmetry Perspective

Author: Martin Golubitsky

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 338

ISBN-13: 3034881673

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The framework of ‘symmetry’ provides an important route between the abstract theory and experimental observations. The book applies symmetry methods to dynamical systems, focusing on bifurcation and chaos theory. Its exposition is organized around a wide variety of relevant applications. From the reviews: "[The] rich collection of examples makes the book...extremely useful for motivation and for spreading the ideas to a large Community."--MATHEMATICAL REVIEWS

Bifurcation, Symmetry and Patterns
Bifurcation, Symmetry and Patterns

Author: Jorge Buescu

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 215

ISBN-13: 3034879822

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The latest developments on both the theory and applications of bifurcations with symmetry. The text includes recent experimental work as well as new approaches to and applications of the theory to other sciences. It shows the range of dissemination of the work of Martin Golubitsky and Ian Stewart and its influence in modern mathematics at the same time as it contains work of young mathematicians in new directions. The range of topics includes mathematical biology, pattern formation, ergodic theory, normal forms, one-dimensional dynamics and symmetric dynamics.

Topological and Variational Methods for Nonlinear Boundary Value Problems
Topological and Variational Methods for Nonlinear Boundary Value Problems

Author: Pavel Drabek

Publisher: CRC Press

Published: 1997-04-17

Total Pages: 172

ISBN-13: 9780582309210

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In the rapidly developing area of nonlinear theory of differential equations, many important results have been obtained by the use of nonlinear functional analysis based on topological and variational methods. The survey papers presented in this volume represent the current state of the art in the subject. The methods outlined in this book can be used to obtain new results concerning the existence, uniqueness, multiplicity, and bifurcation of the solutions of nonlinear boundary value problems for ordinary and partial differential equations. The contributions to this volume are from well known mathematicians, and every paper contained in this book can serve both as a source of reference for researchers working in differential equations and as a starting point for those wishing to pursue research in this direction. With research reports in the field typically scattered in many papers within various journals, this book provides the reader with recent results in an accessible form.

Mathematical Methods in Scattering Theory and Biomedical Technology
Mathematical Methods in Scattering Theory and Biomedical Technology

Author: George Dassios

Publisher: CRC Press

Published: 1998-06-11

Total Pages: 252

ISBN-13: 9780582368040

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The papers in this volume address the state-of-the-art and future directions in applied mathematics in both scattering theory and biomedical technology. A workshop held in Metsovo, Greece during the summer of 1997 brought together some of the world's foremose experts in the field with researchers working in Greece. Sixteen of the contributed papers appear in this volume. All the papers give new directions, and in several cases, the most important scientific contributions in the fields.

Generalized Optimal Stopping Problems and Financial Markets
Generalized Optimal Stopping Problems and Financial Markets

Author: Dennis Wong

Publisher: Routledge

Published: 2017-11-22

Total Pages: 128

ISBN-13: 1351445820

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Provides mathematicians and applied researchers with a well-developed framework in which option pricing can be formulated, and a natural transition from the theory of optimal stopping problems to the valuation of different kinds of options. With the introduction of generalized optimal stopping theory, a unifying approach to option pricing is presented.

Noncoercive Variational Problems and Related Results
Noncoercive Variational Problems and Related Results

Author: Daniel Goeleven

Publisher: CRC Press

Published: 1996-10-10

Total Pages: 186

ISBN-13: 9780582304024

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In establishing a general theory of the existence of solutions for noncoercive variational problems and constrained problems formulated as variational inequalities or hemivariational inequalities, this Research Note illustrates recent mathematical approaches and results with various examples from mathematics and mechanics. The book unifies ideas for the treatment of various noncoercive problems and provides previously unpublished results for variational inequalities and hemivariational inequalities. The author points out important applications in mechanics and their mathfematical tratment using recession tools. This book will be of particular interest to researchers in pure and aplied mathematics and mechanics.

Topics in Pseudo-DIfferential Operators
Topics in Pseudo-DIfferential Operators

Author: S D Zaidman

Publisher: CRC Press

Published: 1996-10-29

Total Pages: 132

ISBN-13: 9780582277823

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This Research Note presents in a clear and detailed manner a certain group of results pertaining to some variants, extensions and generalizations on the theory of pseudo-differential operators as introduced in the pioneering work of Kohn-Nirenberg. The author presents a discussion of concepts of order, true order and asymptotic expansions for general linear operators in some vector spaces, following a pattern appearing in pseudo-differential operator theory. The book is intended mainly for an audience of operator theorists, at a fairly elementary level; its main objective a unitary presentation of articles written by the author over a number of years.