An Introduction to Methods of Complex Analysis and Geometry for Classical Mechanics and Non-linear Waves

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Publisher : Atlantica Séguier Frontières
ISBN 13 : 9782863321515
Total Pages : 318 pages
Book Rating : 4.3/5 (215 download)

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Book Synopsis An Introduction to Methods of Complex Analysis and Geometry for Classical Mechanics and Non-linear Waves by : Daniel Benest

Download or read book An Introduction to Methods of Complex Analysis and Geometry for Classical Mechanics and Non-linear Waves written by Daniel Benest and published by Atlantica Séguier Frontières. This book was released on 1994 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear PDE's, Dynamics and Continuum Physics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821810529
Total Pages : 270 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Nonlinear PDE's, Dynamics and Continuum Physics by : J. L. Bona

Download or read book Nonlinear PDE's, Dynamics and Continuum Physics written by J. L. Bona and published by American Mathematical Soc.. This book was released on 2000 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the refereed proceedings of the conference on Nonlinear Partial Differential Equations, Dynamics and Continuum Physics which was held at Mount Holyoke College in Massachusetts, from July 19th to July 23rd, 1998. Models examined derive from a wide range of applications, including elasticity, thermoviscoelasticity, granular media, fluid dynamics, gas dynamics and conservation laws. Mathematical topics include existence theory and stability/instability of traveling waves, asymptotic behavior of solutions to nonlinear wave equations, effects of dissipation, mechanisms of blow-up, well-posedness and regularity, and fractal solutions. The text will be of interest to graduate students and researchers working in nonlinear partial differential equations and applied mathematics.

The Painlevé Handbook

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Publisher : Springer Science & Business Media
ISBN 13 : 1402084919
Total Pages : 271 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Painlevé Handbook by : Robert M. Conte

Download or read book The Painlevé Handbook written by Robert M. Conte and published by Springer Science & Business Media. This book was released on 2008-11-23 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear differential or difference equations are encountered not only in mathematics, but also in many areas of physics (evolution equations, propagation of a signal in an optical fiber), chemistry (reaction-diffusion systems), and biology (competition of species). This book introduces the reader to methods allowing one to build explicit solutions to these equations. A prerequisite task is to investigate whether the chances of success are high or low, and this can be achieved without any a priori knowledge of the solutions, with a powerful algorithm presented in detail called the Painlevé test. If the equation under study passes the Painlevé test, the equation is presumed integrable. If on the contrary the test fails, the system is nonintegrable or even chaotic, but it may still be possible to find solutions. The examples chosen to illustrate these methods are mostly taken from physics. These include on the integrable side the nonlinear Schrödinger equation (continuous and discrete), the Korteweg-de Vries equation, the Hénon-Heiles Hamiltonians, on the nonintegrable side the complex Ginzburg-Landau equation (encountered in optical fibers, turbulence, etc), the Kuramoto-Sivashinsky equation (phase turbulence), the Kolmogorov-Petrovski-Piskunov equation (KPP, a reaction-diffusion model), the Lorenz model of atmospheric circulation and the Bianchi IX cosmological model. Written at a graduate level, the book contains tutorial text as well as detailed examples and the state of the art on some current research.

Journal of Nonlinear Mathematical Physics Vol. 14

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Publisher : atlantis press
ISBN 13 :
Total Pages : 647 pages
Book Rating : 4./5 ( download)

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Book Synopsis Journal of Nonlinear Mathematical Physics Vol. 14 by :

Download or read book Journal of Nonlinear Mathematical Physics Vol. 14 written by and published by atlantis press. This book was released on with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Journal of Nonlinear Mathematical Physics

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Publisher : atlantis press
ISBN 13 : 9078677023
Total Pages : 639 pages
Book Rating : 4.0/5 (786 download)

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Book Synopsis Journal of Nonlinear Mathematical Physics by :

Download or read book Journal of Nonlinear Mathematical Physics written by and published by atlantis press. This book was released on with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Physics: Theory And Experiment : Nature, Structure And Properties Of Nonlinear Phenomena - Proceedings Of The First Conference

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Publisher : World Scientific
ISBN 13 : 981454812X
Total Pages : 630 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Nonlinear Physics: Theory And Experiment : Nature, Structure And Properties Of Nonlinear Phenomena - Proceedings Of The First Conference by : Eleonora Alfinito

Download or read book Nonlinear Physics: Theory And Experiment : Nature, Structure And Properties Of Nonlinear Phenomena - Proceedings Of The First Conference written by Eleonora Alfinito and published by World Scientific. This book was released on 1996-06-20 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of the Workshop 'Nonlinear Physics. Theory and Experiment' held in Gallipoli (Lecce, Italy) from June 29 to July 7, 1995.The purpose of the Workshop was to bring together scientists whose common interest is the nature, structure and properties of nonlinear phenomena in various areas of physics and applied mathematics.The purpose of the Workshop was to bring together scientists whose common interest is the nature, structure and properties of nonlinear phenomena in various areas of physics and applied mathematics.In fact, topics covered at the Workshop run from nonlinear optics to molecular dynamics, plasma waves, hydrodynamics, quantum electronics and solid state, and from inverse scattering transform methods to dynamical systems including integrability, hamiltonian structures, geometrical aspects, turbulence and chaos.

The Painlevé Handbook

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Publisher : Springer Nature
ISBN 13 : 3030533409
Total Pages : 408 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis The Painlevé Handbook by : Robert Conte

Download or read book The Painlevé Handbook written by Robert Conte and published by Springer Nature. This book was released on 2020-11-07 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, now in its second edition, introduces the singularity analysis of differential and difference equations via the Painlevé test and shows how Painlevé analysis provides a powerful algorithmic approach to building explicit solutions to nonlinear ordinary and partial differential equations. It is illustrated with integrable equations such as the nonlinear Schrödinger equation, the Korteweg-de Vries equation, Hénon-Heiles type Hamiltonians, and numerous physically relevant examples such as the Kuramoto-Sivashinsky equation, the Kolmogorov-Petrovski-Piskunov equation, and mainly the cubic and quintic Ginzburg-Landau equations. Extensively revised, updated, and expanded, this new edition includes: recent insights from Nevanlinna theory and analysis on both the cubic and quintic Ginzburg-Landau equations; a close look at physical problems involving the sixth Painlevé function; and an overview of new results since the book’s original publication with special focus on finite difference equations. The book features tutorials, appendices, and comprehensive references, and will appeal to graduate students and researchers in both mathematics and the physical sciences.

Integrability of Nonlinear Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540206309
Total Pages : 358 pages
Book Rating : 4.2/5 (63 download)

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Book Synopsis Integrability of Nonlinear Systems by : Yvette Kosmann-Schwarzbach

Download or read book Integrability of Nonlinear Systems written by Yvette Kosmann-Schwarzbach and published by Springer Science & Business Media. This book was released on 2004-02-17 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lectures that comprise this volume constitute a comprehensive survey of the many and various aspects of integrable dynamical systems. The present edition is a streamlined, revised and updated version of a 1997 set of notes that was published as Lecture Notes in Physics, Volume 495. This volume will be complemented by a companion book dedicated to discrete integrable systems. Both volumes address primarily graduate students and nonspecialist researchers but will also benefit lecturers looking for suitable material for advanced courses and researchers interested in specific topics.

Mathematical Constants

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Publisher : Cambridge University Press
ISBN 13 : 9780521818056
Total Pages : 634 pages
Book Rating : 4.8/5 (18 download)

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Book Synopsis Mathematical Constants by : Steven R. Finch

Download or read book Mathematical Constants written by Steven R. Finch and published by Cambridge University Press. This book was released on 2003-08-18 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

Computer Algebra Handbook

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Publisher : Springer Science & Business Media
ISBN 13 : 3642558267
Total Pages : 656 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Computer Algebra Handbook by : Johannes Grabmeier

Download or read book Computer Algebra Handbook written by Johannes Grabmeier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education.

Topics in Gravitational Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 3540729836
Total Pages : 419 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Topics in Gravitational Dynamics by : Daniel Benest

Download or read book Topics in Gravitational Dynamics written by Daniel Benest and published by Springer Science & Business Media. This book was released on 2008-01-02 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This set of lectures collects surveys of open problems in celestial dynamics and dynamical astronomy applied to solar, extra-solar and galactic systems. The discovery and thus the possibility to study many new extra-solar planetary systems have spurred new developments in the field and enabled the testing and enlargement of the domains of validity of theoretical predictions through the Nekhoroshev theorem.

The Painlevé Property

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Publisher : Springer Science & Business Media
ISBN 13 : 1461215323
Total Pages : 828 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Painlevé Property by : Robert Conte

Download or read book The Painlevé Property written by Robert Conte and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject this volume is explicit integration, that is, the analytical as opposed to the numerical solution, of all kinds of nonlinear differential equations (ordinary differential, partial differential, finite difference). Such equations describe many physical phenomena, their analytic solutions (particular solutions, first integral, and so forth) are in many cases preferable to numerical computation, which may be long, costly and, worst, subject to numerical errors. In addition, the analytic approach can provide a global knowledge of the solution, while the numerical approach is always local. Explicit integration is based on the powerful methods based on an in-depth study of singularities, that were first used by Poincar and subsequently developed by Painlev in his famous Leons de Stockholm of 1895. The recent interest in the subject and in the equations investigated by Painlev dates back about thirty years ago, arising from three, apparently disjoint, fields: the Ising model of statistical physics and field theory, propagation of solitons, and dynamical systems. The chapters in this volume, based on courses given at Cargse 1998, alternate mathematics and physics; they are intended to bring researchers entering the field to the level of present research.

Chaos and Diffusion in Hamiltonian Systems

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Publisher : Atlantica Séguier Frontières
ISBN 13 : 9782863321904
Total Pages : 306 pages
Book Rating : 4.3/5 (219 download)

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Book Synopsis Chaos and Diffusion in Hamiltonian Systems by :

Download or read book Chaos and Diffusion in Hamiltonian Systems written by and published by Atlantica Séguier Frontières. This book was released on 1995 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Symmetries and Integrability of Difference Equations

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Publisher : Cambridge University Press
ISBN 13 : 9780521596992
Total Pages : 444 pages
Book Rating : 4.5/5 (969 download)

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Book Synopsis Symmetries and Integrability of Difference Equations by : Peter A. Clarkson

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.

Impacts on Earth

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540642091
Total Pages : 254 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Impacts on Earth by : Daniel Benest

Download or read book Impacts on Earth written by Daniel Benest and published by Springer Science & Business Media. This book was released on 1998-03-18 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Impact phenomena play an essential role in the formation of planets and great influence during their evolution. The first part of this book describes the dynamics that propels asteroids in our solar system; the second part is devoted to impact phenomena; the third inspects terrestrial impacts of asteroids and the hazards due to space debris orbiting our planet. The book addresses scientists working in astronomy, extraterrestrial physics and geophysics. But it should also be of great interest to a learned public that wants to know about the most recent developments in this fast-moving field of theoretical and observational research.

Hamiltonian Systems with Three or More Degrees of Freedom

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Publisher : Springer Science & Business Media
ISBN 13 : 940114673X
Total Pages : 681 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Hamiltonian Systems with Three or More Degrees of Freedom by : Carles Simó

Download or read book Hamiltonian Systems with Three or More Degrees of Freedom written by Carles Simó and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of current knowledge about Hamiltonian systems with three or more degrees of freedom and related topics. The Hamiltonian systems appearing in most of the applications are non-integrable. Hence methods to prove non-integrability results are presented and the different meaning attributed to non-integrability are discussed. For systems near an integrable one, it can be shown that, under suitable conditions, some parts of the integrable structure, most of the invariant tori, survive. Many of the papers discuss near-integrable systems. From a topological point of view, some singularities must appear in different problems, either caustics, geodesics, moving wavefronts, etc. This is also related to singularities in the projections of invariant objects, and can be used as a signature of these objects. Hyperbolic dynamics appear as a source on unpredictable behaviour and several mechanisms of hyperbolicity are presented. The destruction of tori leads to Aubrey-Mather objects, and this is touched on for a related class of systems. Examples without periodic orbits are constructed, against a classical conjecture. Other topics concern higher dimensional systems, either finite (networks and localised vibrations on them) or infinite, like the quasiperiodic Schrödinger operator or nonlinear hyperbolic PDE displaying quasiperiodic solutions. Most of the applications presented concern celestial mechanics problems, like the asteroid problem, the design of spacecraft orbits, and methods to compute periodic solutions.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 888 pages
Book Rating : 4.X/5 (6 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 2001 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt: