Side Iii Symmetries And Integrability Of Difference Equations

Author : Decio Levi
Publisher : American Mathematical Soc.
ISBN 13 : 0821821288
Total Pages : 462 pages
Book Rating : 4.82/5 ( download)

DOWNLOAD NOW!

Download or read book SIDE III -- Symmetries and Integrability of Difference Equations written by Decio Levi and published by American Mathematical Soc.. This book was released on 2000 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the third meeting on "Symmetries and Integrability of Difference Equations" (SIDE III). The collection includes original results not published elsewhere and articles that give a rigorous but concise overview of their subject, and provides a complete description of the state of the art. Research in the field of difference equations-often referred to more generally as discrete systems-has undergone impressive development in recent years. In this collection the reader finds the most important new developments in a number of areas, including: Lie-type symmetries of differential-difference and difference-difference equations, integrability of fully discrete systems such as cellular automata, the connection between integrability and discrete geometry, the isomonodromy approach to discrete spectral problems and related discrete Painlevé equations, difference and q-difference equations and orthogonal polynomials, difference equations and quantum groups, and integrability and chaos in discrete-time dynamical systems. The proceedings will be valuable to mathematicians and theoretical physicists interested in the mathematical aspects and/or in the physical applications of discrete nonlinear dynamics, with special emphasis on the systems that can be integrated by analytic methods or at least admit special explicit solutions. The research in this volume will also be of interest to engineers working in discrete dynamics as well as to theoretical biologists and economists.

Author :
Publisher :
ISBN 13 : 9781470439392
Total Pages : 444 pages
Book Rating : 4.95/5 ( download)

DOWNLOAD NOW!

Download or read book SIDE III written by and published by . This book was released on 2000 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the third meeting on "Symmetries and Integrability of Difference Equations" (SIDE III). The collection includes original results not published elsewhere and articles that give a rigorous but concise overview of their subject, and provides a complete description of the state of the art. Research in the field of difference equations-often referred to more generally as discrete systems-has undergone impressive development in recent years. In this collection the reader finds the most important new developments in a number of areas, including: Lie-type symmet.

Author : Decio Levi
Publisher : Springer
ISBN 13 : 3319566660
Total Pages : 435 pages
Book Rating : 4.65/5 ( download)

DOWNLOAD NOW!

Download or read book Symmetries and Integrability of Difference Equations written by Decio Levi and published by Springer. This book was released on 2017-06-30 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book shows how Lie group and integrability techniques, originally developed for differential equations, have been adapted to the case of difference equations. Difference equations are playing an increasingly important role in the natural sciences. Indeed, many phenomena are inherently discrete and thus naturally described by difference equations. More fundamentally, in subatomic physics, space-time may actually be discrete. Differential equations would then just be approximations of more basic discrete ones. Moreover, when using differential equations to analyze continuous processes, it is often necessary to resort to numerical methods. This always involves a discretization of the differential equations involved, thus replacing them by difference ones. Each of the nine peer-reviewed chapters in this volume serves as a self-contained treatment of a topic, containing introductory material as well as the latest research results and exercises. Each chapter is presented by one or more early career researchers in the specific field of their expertise and, in turn, written for early career researchers. As a survey of the current state of the art, this book will serve as a valuable reference and is particularly well suited as an introduction to the field of symmetries and integrability of difference equations. Therefore, the book will be welcomed by advanced undergraduate and graduate students as well as by more advanced researchers.

Author : Peter A. Clarkson
Publisher : Cambridge University Press
ISBN 13 : 9780521596992
Total Pages : 444 pages
Book Rating : 4.98/5 ( download)

DOWNLOAD NOW!

Download or read book Symmetries and Integrability of Difference Equations written by Peter A. Clarkson and published by Cambridge University Press. This book was released on 1999-02-04 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises state-of-the-art articles in discrete integrable systems.

Author : Decio Levi
Publisher : American Mathematical Soc.
ISBN 13 : 0821806017
Total Pages : 402 pages
Book Rating : 4.12/5 ( download)

DOWNLOAD NOW!

Download or read book Symmetries and Integrability of Difference Equations written by Decio Levi and published by American Mathematical Soc.. This book was released on 1996 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to a topic that has undergone rapid and fruitful development over the last few years: symmetries and integrability of difference equations and q-difference equations and the theory of special functions that occur as solutions of such equations. Techniques that have been traditionally applied to solve linear and nonlinear differential equations are now being successfully adapted and applied to discrete equations. This volume is based on contributions made by leading experts in the field during the workshop on Symmetries and Integrability of Difference Equations held Estérel, Québec, in May 1994. Giving an up-to-date review of the current status of the field, the book treats these specific topics: Lie group and quantum group symmetries of difference and q-difference equations, integrable and nonintegrable discretizations of continuous integrable systems, integrability of difference equations, discrete Painlevé property and singularity confinement, integrable mappings, applications in statistical mechanics and field theories, Yang-Baxter equations, q-special functions and discrete polynomials, and q-difference integrable systems.

Author : Frank W. Nijhoff
Publisher :
ISBN 13 :
Total Pages : 408 pages
Book Rating : 4.28/5 ( download)

DOWNLOAD NOW!

Download or read book Symmetries and Integrability of Difference Equations (SIDE IV) written by Frank W. Nijhoff and published by . This book was released on 2001 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Decio Levi
Publisher : American Mathematical Society, Centre de Recherches Mathématiques
ISBN 13 : 0821843540
Total Pages : 520 pages
Book Rating : 4.43/5 ( download)

DOWNLOAD NOW!

Download or read book Continuous Symmetries and Integrability of Discrete Equations written by Decio Levi and published by American Mathematical Society, Centre de Recherches Mathématiques. This book was released on 2023-01-23 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on integrable systems and symmetries presents new results on applications of symmetries and integrability techniques to the case of equations defined on the lattice. This relatively new field has many applications, for example, in describing the evolution of crystals and molecular systems defined on lattices, and in finding numerical approximations for differential equations preserving their symmetries. The book contains three chapters and five appendices. The first chapter is an introduction to the general ideas about symmetries, lattices, differential difference and partial difference equations and Lie point symmetries defined on them. Chapter 2 deals with integrable and linearizable systems in two dimensions. The authors start from the prototype of integrable and linearizable partial differential equations, the Korteweg de Vries and the Burgers equations. Then they consider the best known integrable differential difference and partial difference equations. Chapter 3 considers generalized symmetries and conserved densities as integrability criteria. The appendices provide details which may help the readers' understanding of the subjects presented in Chapters 2 and 3. This book is written for PhD students and early researchers, both in theoretical physics and in applied mathematics, who are interested in the study of symmetries and integrability of difference equations.

Author : Decio Levi
Publisher : American Mathematical Soc.
ISBN 13 : 9780821870501
Total Pages : 404 pages
Book Rating : 4.05/5 ( download)

DOWNLOAD NOW!

Download or read book Symmetries and Integrability of Difference Equations written by Decio Levi and published by American Mathematical Soc.. This book was released on with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Simonetta Abenda
Publisher : World Scientific
ISBN 13 : 9812382410
Total Pages : 306 pages
Book Rating : 4.12/5 ( download)

DOWNLOAD NOW!

Download or read book Symmetry and Perturbation Theory written by Simonetta Abenda and published by World Scientific. This book was released on 2002 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: An Outline of the Geometrical Theory of the Separation of Variables in the Hamilton-Jacobi and Schrodinger Equations (S Benenti); Partial Symmetries and Symmetric Sets of Solutions to PDEs (G Cicogna); Bifurcations in Flow-Induced Vibrations (S Fatimah & F Verhulst); Steklov-Lyapunov Type Systems (Y Fedorov); Renormalization Group and Summation of Divergent Series for Hyperbolic Invariant Tori (G Gentile); On the Linearization of holomorphic Vector Fields in the Siegel Domain with Linear Parts Having Nontrivial Jordan Blocks (T Gramchev); On the Algebro Geometric Solution of a 3x3 Matrix Riemann-Hilbert Problem (v Enolskii & T Grava); Smooth Normalization of a Vector Field Near an Invariant Manifold ((a Kopanskii); Inverse Problems for SL(2) Lattices (V Kuznetsov); Some Remarks about the Geometry of Hamiltonian Conservation Laws (J P Ortega); Janet's Algorithm (W Plesken); Some Integrable Billiards (E Previato); Symmetries of Relative Equilibria for Simple Mechanical Systems (M R Olmos & M E S Dias); A Spectral Sequences Approach to Normal Forms (J Sanders); Rational Parametrization of Strata in Orbit Spaces of Compact Linear Groups (G Sartori & G Valente); Effective Hamiltonians and Perturbation Theory for Quantum Bound States of Nucleur Motion in Molecules (V Tyuterev); Generalized Hasimoto Transformation and Vector Sine-Gordon Equation (J P Wang); and other papers. Readership: Researchers and graduate students in mathematical and theoretical physics, and nonlinears science.

Author : Simonetta Abenda
Publisher : World Scientific
ISBN 13 : 9814486949
Total Pages : 308 pages
Book Rating : 4.41/5 ( download)

DOWNLOAD NOW!

Download or read book Symmetry and Perturbation Theory written by Simonetta Abenda and published by World Scientific. This book was released on 2003-01-14 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the fourth conference on “Supersymmetry and Perturbation Theory” (SPT 2002). The proceedings present original results and state-of-the-art reviews on topics related to symmetry, integrability and perturbation theory, etc. Contents:An Outline of the Geometrical Theory of the Separation of Variables in the Hamilton-Jacobi and Schrödinger Equations (S Benenti)Partial Symmetries and Symmetric Sets of Solutions to PDE's (G Cicogna)On the Algebro-Geometric Solution of 3 x 3 Matrix Riemann-Hilbert Problem (V Enolski & T Grava)Bifurcations in Flow-Induced Vibration (S Fatimah & F Verhulst)Steklov-Lyapunov Type Systems (Yu N Fedorov)Renormalization Group and Summation of Divergent Series for Hyperbolic Invariant Tori (G Gentile)On the Linearization of Holomorphic Vector Fields in the Siegel Domain with Linear Parts Having Nontrivial Jordan Blocks (T Gramchev)Smooth Normalization of a Vector Field Near an Invariant Manifold (A Kopanskii)Inverse Problems for SL(2) Lattices (V B Kuznetsov)Some Remarks about the Geometry of Hamiltonian Conservation Laws (J-P Ortega)Janet's Algorithm (W Plesken)Some Integrable Billiards (E Previato)Symmetries of Relative Equilibria for Simple Mechanical Systems (M Rodríguez-Olmos & M E Sousa Dias)A Spectral Sequences Approach to Normal Forms (J A Sanders)Rational Parametrization of Strata in Orbit Spaces of Compact Linear Groups (G Sartori & G Valente)Effective Hamiltonians and Perturbation Theory for Quantum Bound States of Nuclear Motion in Molecules (V G Tyuterev)Generalized Hasimoto Transformation and Vector Sine-Gordon Equation (J P Wang)and other papers Readership: Researchers and graduate students in mathematical and theoretical physics, and nonlinear science. Keywords:Symmetry;Integrability;Perturbation Theory;Vector Fields;Normalization