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Variational And Local Methods In The Study Of Hamiltonian Systems Proceedings Of The Workshop
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Book Synopsis Variational And Local Methods In The Study Of Hamiltonian Systems - Proceedings Of The Workshop by : Antonio Ambrosetti
Download or read book Variational And Local Methods In The Study Of Hamiltonian Systems - Proceedings Of The Workshop written by Antonio Ambrosetti and published by World Scientific. This book was released on 1995-09-30 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, various ideas about Hamiltonian dynamics were discussed. Particular emphasis was placed on mechanical systems with singular potentials (such as the N-Body Newtonian problem) and on their special features, although important aspects of smooth dynamics were also discussed, from both the local point of view and the point of view of global analysis.
Book Synopsis Proceedings of the Workshop Variational and Local Methods in the Study of Hamiltonian Systems by :
Download or read book Proceedings of the Workshop Variational and Local Methods in the Study of Hamiltonian Systems written by and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :International Centre for Theoretical Physics Publisher :World Scientific Publishing Company Incorporated ISBN 13 :9789810224905 Total Pages :211 pages Book Rating :4.2/5 (249 download)
Book Synopsis Variational and Local Methods in the Study of Hamiltonian Systems by : International Centre for Theoretical Physics
Download or read book Variational and Local Methods in the Study of Hamiltonian Systems written by International Centre for Theoretical Physics and published by World Scientific Publishing Company Incorporated. This book was released on 1995 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Variational and Local Methods in the Study of Hamiltonian Systems by :
Download or read book Variational and Local Methods in the Study of Hamiltonian Systems written by and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis School and Workshop on Variational and Local Methods in the Study of Hamiltonian Systems, 10 - 28 October 1994, [Trieste, Italy] by :
Download or read book School and Workshop on Variational and Local Methods in the Study of Hamiltonian Systems, 10 - 28 October 1994, [Trieste, Italy] written by and published by . This book was released on 1993 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Aspects of Classical and Celestial Mechanics by : Vladimir I. Arnold
Download or read book Mathematical Aspects of Classical and Celestial Mechanics written by Vladimir I. Arnold and published by Springer Science & Business Media. This book was released on 2007-07-05 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of the book is to acquaint mathematicians, physicists and engineers with classical mechanics as a whole, in both its traditional and its contemporary aspects. As such, it describes the fundamental principles, problems, and methods of classical mechanics, with the emphasis firmly laid on the working apparatus, rather than the physical foundations or applications. Chapters cover the n-body problem, symmetry groups of mechanical systems and the corresponding conservation laws, the problem of the integrability of the equations of motion, the theory of oscillations and perturbation theory.
Book Synopsis Nonlinear Partial Differential Equations And Applications: Proceedings Of The Conference by : Boling Guo
Download or read book Nonlinear Partial Differential Equations And Applications: Proceedings Of The Conference written by Boling Guo and published by World Scientific. This book was released on 1998-10-30 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Direct and Inverse Diffraction by Periodic Structures (G Bao)Weak Flow of H-Systems (Y-M Chen)Strongly Compact Attractor for Dissipative Zakharov Equations (B-L Guo et al.)C∞-Solutions of Generalized Porous Medium Equations (M Ôtani & Y Sugiyama)Cauchy Problem for Generalized IMBq Equation (G-W Chen & S-B Wang)Inertial Manifolds for a Nonlocal Kuramoto–Sivashinsky Equation (J-Q Duan et al.)Weak Solutions of the Generalized Magnetic Flow Equations (S-H He & Z-D Dai)The Solution of Hammerstein Integral Equation Without Coercive Conditions (Y-L Shu)Global Behaviour of the Solution of Nonlinear Forest Evolution Equation (D-J Wang)Uniqueness of Generalized Solutions for Semiconductor Equations (J-S Xing & Y Hu)On the Vectorial Hamilton–Jacobi System (B-S Yan)An Integrable Hamiltonian System Associated with cKdV Hierarchy (J-S Zhang et al.)and other papers Readership: Mathematicians. Keywords:Diffraction;Weak Flow;Zakharov Equations;Porous Medium Equations;Cauchy Problem;IMBq Equation;Kuramoto-Sivashinsky Equation;Magnetic Flow Equations;Hammerstein Integral Equation;Nonlinear Forest Evolution Equation;Uniqueness;Generalized Solutions;Semiconductor Equations;HamiltonâJacobi System;Hamiltonian System;cKdV Hierarchy
Book Synopsis Critical Point Theory by : Martin Schechter
Download or read book Critical Point Theory written by Martin Schechter and published by Springer Nature. This book was released on 2020-05-30 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph collects cutting-edge results and techniques for solving nonlinear partial differential equations using critical points. Including many of the author’s own contributions, a range of proofs are conveniently collected here, Because the material is approached with rigor, this book will serve as an invaluable resource for exploring recent developments in this active area of research, as well as the numerous ways in which critical point theory can be applied. Different methods for finding critical points are presented in the first six chapters. The specific situations in which these methods are applicable is explained in detail. Focus then shifts toward the book’s main subject: applications to problems in mathematics and physics. These include topics such as Schrödinger equations, Hamiltonian systems, elliptic systems, nonlinear wave equations, nonlinear optics, semilinear PDEs, boundary value problems, and equations with multiple solutions. Readers will find this collection of applications convenient and thorough, with detailed proofs appearing throughout. Critical Point Theory will be ideal for graduate students and researchers interested in solving differential equations, and for those studying variational methods. An understanding of fundamental mathematical analysis is assumed. In particular, the basic properties of Hilbert and Banach spaces are used.
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Non-commuting Variations in Mathematics and Physics by : Serge Preston
Download or read book Non-commuting Variations in Mathematics and Physics written by Serge Preston and published by Springer. This book was released on 2016-03-02 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents and studies the method of so –called noncommuting variations in Variational Calculus. This method was pioneered by Vito Volterra who noticed that the conventional Euler-Lagrange (EL-) equations are not applicable in Non-Holonomic Mechanics and suggested to modify the basic rule used in Variational Calculus. This book presents a survey of Variational Calculus with non-commutative variations and shows that most basic properties of conventional Euler-Lagrange Equations are, with some modifications, preserved for EL-equations with K-twisted (defined by K)-variations. Most of the book can be understood by readers without strong mathematical preparation (some knowledge of Differential Geometry is necessary). In order to make the text more accessible the definitions and several necessary results in Geometry are presented separately in Appendices I and II Furthermore in Appendix III a short presentation of the Noether Theorem describing the relation between the symmetries of the differential equations with dissipation and corresponding s balance laws is presented.
Book Synopsis Progress in Variational Methods in Hamiltonian Systems and Elliptic Equations by : Mario Girardi
Download or read book Progress in Variational Methods in Hamiltonian Systems and Elliptic Equations written by Mario Girardi and published by . This book was released on 1992 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research note gives a comprehensive account of the use of variational methods in the study of Hamiltonian systems and elliptic equations.
Book Synopsis Directory of Published Proceedings by :
Download or read book Directory of Published Proceedings written by and published by . This book was released on 2001 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Local and Global Methods of Nonlinear Dynamics by : A.W. Zachary Saenz
Download or read book Local and Global Methods of Nonlinear Dynamics written by A.W. Zachary Saenz and published by Springer. This book was released on 1986-07 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Variational Methods in Hamiltonian Systems by : P. L. Felmer
Download or read book Variational Methods in Hamiltonian Systems written by P. L. Felmer and published by . This book was released on 1992 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Applications of Variational Methods to Hamiltonian Systems by : Patricio Luis Felmer
Download or read book Applications of Variational Methods to Hamiltonian Systems written by Patricio Luis Felmer and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Convexity Methods in Hamiltonian Mechanics by : Ivar Ekeland
Download or read book Convexity Methods in Hamiltonian Mechanics written by Ivar Ekeland and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the case of completely integrable systems, periodic solutions are found by inspection. For nonintegrable systems, such as the three-body problem in celestial mechanics, they are found by perturbation theory: there is a small parameter € in the problem, the mass of the perturbing body for instance, and for € = 0 the system becomes completely integrable. One then tries to show that its periodic solutions will subsist for € -# 0 small enough. Poincare also introduced global methods, relying on the topological properties of the flow, and the fact that it preserves the 2-form L~=l dPi 1\ dqi' The most celebrated result he obtained in this direction is his last geometric theorem, which states that an area-preserving map of the annulus which rotates the inner circle and the outer circle in opposite directions must have two fixed points. And now another ancient theme appear: the least action principle. It states that the periodic solutions of a Hamiltonian system are extremals of a suitable integral over closed curves. In other words, the problem is variational. This fact was known to Fermat, and Maupertuis put it in the Hamiltonian formalism. In spite of its great aesthetic appeal, the least action principle has had little impact in Hamiltonian mechanics. There is, of course, one exception, Emmy Noether's theorem, which relates integrals ofthe motion to symmetries of the equations. But until recently, no periodic solution had ever been found by variational methods.
Book Synopsis Variational and Topological Methods for Periodic Orbits of Hamiltonian Systems by : Maria Letizia Bertotti
Download or read book Variational and Topological Methods for Periodic Orbits of Hamiltonian Systems written by Maria Letizia Bertotti and published by . This book was released on 1984 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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