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.

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.

Topics in Random Polynomials
Topics in Random Polynomials

Author: K Farahmand

Publisher: CRC Press

Published: 1998-08-15

Total Pages: 180

ISBN-13: 9780582356221

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Topics in Random Polynomials presents a rigorous and comprehensive treatment of the mathematical behavior of different types of random polynomials. These polynomials-the subject of extensive recent research-have many applications in physics, economics, and statistics. The main results are presented in such a fashion that they can be understood and used by readers whose knowledge of probability incorporates little more than basic probability theory and stochastic processes.

Linear Theory of Colombeau Generalized Functions
Linear Theory of Colombeau Generalized Functions

Author: M Nedeljkov

Publisher: CRC Press

Published: 1998-05-20

Total Pages: 172

ISBN-13: 9780582356832

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Results from the now-classical distribution theory involving convolution and Fourier transformation are extended to cater for Colombeau's generalized functions. Indications are given how these particular generalized functions can be used to investigate linear equations and pseudo differential operators. Furthermore, applications are also given to problems with nonregular data.

Numerical Methods in Mechanics
Numerical Methods in Mechanics

Author: Carlos Conca

Publisher: CRC Press

Published: 1997-07-16

Total Pages: 196

ISBN-13: 9780582313200

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This volume contains the invited papers given at the Fourth French-Latin American Congress on Applied Mathematics. New numerical techniques in fluid and solid mechanics were presented.

Strongly Irreducible Operators on Hilbert Space
Strongly Irreducible Operators on Hilbert Space

Author: ChunLan Jiang

Publisher: Taylor & Francis

Published: 2023-02-15

Total Pages: 256

ISBN-13: 1351413309

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This volume provides a comprehensive treatment of strongly irreducible operators acting on a complex separable infinite dimensional Hilbert space, and to expose and reflect the internal structure of operators by analyzing and studying irreducibility of operators. Much of the material presented here appears in book form for the first time.

Free Boundary Problems, Theory and Applications
Free Boundary Problems, Theory and Applications

Author: Marek Niezgodka

Publisher: CRC Press

Published: 1996-11-25

Total Pages: 462

ISBN-13: 9780582305939

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Addressing various aspects of nonlinear partial differential equations, this volume contains papers and lectures presented at the Congress on Free boundary Problems, Theory and Application held in Zakopane, Poland in 1995. Topics include existence, uniqueness, asymptotic behavior, and regularity of solutions and interfaces.

International Conference On Dynamical Systems
International Conference On Dynamical Systems

Author: F Ledrappier

Publisher: CRC Press

Published: 1997-05-15

Total Pages: 260

ISBN-13: 9780582302969

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This volume clearly reflects Ricardo Mane's legacy, his contribution to mathematics and the diversity of his mathematical intersts. It contains fifteen refereed research papers on thems including Hamiltonian and Lagrangian dynamics, growth rate of the number of geodesics on a compact manifold, one dimensional complex and real dynamics, and bifurcations and singular cycles. This book also contains two famous sets of notes by Ricardo Mane. One is the seminal paper on Lagrangian dynamics that he had prepared for the conference; the other is on the genericity of zero exponents area preserving diffeomorphisms on surfaces when non Anosov. This book will be of particular interest to researchers and graduate students in mathematics, mechanics and mathematical physics.

Recent Advances in Differential Equations
Recent Advances in Differential Equations

Author: H-H Dai

Publisher: CRC Press

Published: 2020-01-30

Total Pages: 260

ISBN-13: 1000724549

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The First Pan-China Conference on Differential Equations was held in Kunming, China in June of 1997. Researchers from around the world attended-including representatives from the US, Canada, and the Netherlands-but the majority of the speakers hailed from China and Hong Kong. This volume contains the plenary lectures and invited talks presented at that conference, and provides an excellent view of the research on differential equations being carried out in China. Most of the subjects addressed arose from actual applications and cover ordinary and partial differential equations. Topics include:

Progress in Partial Differential Equations
Progress in Partial Differential Equations

Author: Herbert Amann

Publisher: CRC Press

Published: 1998-04-01

Total Pages: 212

ISBN-13: 9780582317086

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The numerous applications of partial differential equations to problems in physics, mechanics, and engineering keep the subject an extremely active and vital area of research. With the number of researchers working in the field, advances-large and small-come frequently. Therefore, it is essential that mathematicians working in partial differential equations and applied mathematics keep abreast of new developments. Progress in Partial Differential Equations, presents some of the latest research in this important field. Both volumes contain the lectures and papers of top international researchers contributed at the Third European Conference on Elliptic and Parabolic Problems. In addition to the general theory of elliptic and parabolic problems, the topics covered at the conference include: applications free boundary problems fluid mechanics general evolution problems ocalculus of variations homogenization modeling numerical analysis The research notes in these volumes offer a valuable update on the state-of-the-art in this important field of mathematics.