Nonlinear Oscillations And Boundary Value Problems For Hamiltonian Systems PDF Download
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| Author | : Frank H. Clarke |
| Publisher | : |
| Total Pages | : 26 |
| Release | : 1979 |
| Genre | : Boundary value problems |
| ISBN | : |
Download Nonlinear Oscillations and Boundary-Value Problems for Hamiltonian Systems Book in PDF, ePub and Kindle
Hamilton's differential equations are basic in the study of theoretical mechanics. A particular class of motions of interest for such systems of equations are the periodic ones, which correspond to oscillations (vibrations) of the underlying physical system; the absence of such motions is usually associated with resonance phenomena. In this paper we give conditions on the Hamiltonian function H which guarantee the existence of periodic orbits, as well as other more general types of motions. One distinction with previous work on the subject is that we consider forced vibrations arising from external driving forces; another is that the solutions in question are characterized directly as the solutions of a specific minimization problem (i.e., we obtain a 'variational principle'), a feature which could prove useful for computational purposes.
| Author | : Massimiliano Berti |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 191 |
| Release | : 2007-10-01 |
| Genre | : Mathematics |
| ISBN | : 0817646809 |
Download Nonlinear Oscillations of Hamiltonian PDEs Book in PDF, ePub and Kindle
Many partial differential equations (PDEs) that arise in physics can be viewed as infinite-dimensional Hamiltonian systems. This monograph presents recent existence results of nonlinear oscillations of Hamiltonian PDEs, particularly of periodic solutions for completely resonant nonlinear wave equations. The text serves as an introduction to research in this fascinating and rapidly growing field. Graduate students and researchers interested in variational techniques and nonlinear analysis applied to Hamiltonian PDEs will find inspiration in the book.
| Author | : Aubin |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 204 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 146846728X |
Download Advances in Hamiltonian Systems Book in PDF, ePub and Kindle
| Author | : Alberto Abbondandolo |
| Publisher | : CRC Press |
| Total Pages | : 202 |
| Release | : 2001-03-15 |
| Genre | : Mathematics |
| ISBN | : 1482285746 |
Download Morse Theory for Hamiltonian Systems Book in PDF, ePub and Kindle
This Research Note explores existence and multiplicity questions for periodic solutions of first order, non-convex Hamiltonian systems. It introduces a new Morse (index) theory that is easier to use, less technical, and more flexible than existing theories and features techniques and results that, until now, have appeared only in scattered journals
| Author | : Chungen Liu |
| Publisher | : Springer |
| Total Pages | : 333 |
| Release | : 2019-05-22 |
| Genre | : Mathematics |
| ISBN | : 981137287X |
Download Index theory in nonlinear analysis Book in PDF, ePub and Kindle
This book provides detailed information on index theories and their applications, especially Maslov-type index theories and their iteration theories for non-periodic solutions of Hamiltonian systems. It focuses on two index theories: L-index theory (index theory for Lagrangian boundary conditions) and P-index theory (index theory for P-boundary conditions). In addition, the book introduces readers to recent advances in the study of index theories for symmetric periodic solutions of nonlinear Hamiltonian systems, and for selected boundary value problems involving partial differential equations.
| Author | : K. Srujan Raju |
| Publisher | : Springer Nature |
| Total Pages | : 881 |
| Release | : 2020-03-17 |
| Genre | : Technology & Engineering |
| ISBN | : 9811514801 |
Download Proceedings of the Third International Conference on Computational Intelligence and Informatics Book in PDF, ePub and Kindle
This book features high-quality papers presented at the International Conference on Computational Intelligence and Informatics (ICCII 2018), which was held on 28–29 December 2018 at the Department of Computer Science and Engineering, JNTUH College of Engineering, Hyderabad, India. The papers focus on topics such as data mining, wireless sensor networks, parallel computing, image processing, network security, MANETS, natural language processing and Internet of things.
| Author | : John Guckenheimer |
| Publisher | : Springer |
| Total Pages | : 462 |
| Release | : 2002-02-08 |
| Genre | : Mathematics |
| ISBN | : 0387908196 |
Download Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields Book in PDF, ePub and Kindle
An application of the techniques of dynamical systems and bifurcation theories to the study of nonlinear oscillations. Taking their cue from Poincare, the authors stress the geometrical and topological properties of solutions of differential equations and iterated maps. Numerous exercises, some of which require nontrivial algebraic manipulations and computer work, convey the important analytical underpinnings of problems in dynamical systems and help readers develop an intuitive feel for the properties involved.
| Author | : E. Zeidler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 675 |
| Release | : 2013-12-11 |
| Genre | : Science |
| ISBN | : 146125020X |
Download Nonlinear Functional Analysis and its Applications Book in PDF, ePub and Kindle
As long as a branch of knowledge offers an abundance of problems, it is full of vitality. David Hilbert Over the last 15 years I have given lectures on a variety of problems in nonlinear functional analysis and its applications. In doing this, I have recommended to my students a number of excellent monographs devoted to specialized topics, but there was no complete survey-type exposition of nonlinear functional analysis making available a quick survey to the wide range of readers including mathematicians, natural scientists, and engineers who have only an elementary knowledge of linear functional analysis. I have tried to close this gap with my five-part lecture notes, the first three parts of which have been published in the Teubner-Texte series by Teubner-Verlag, Leipzig, 1976, 1977, and 1978. The present English edition was translated from a completely rewritten manuscript which is significantly longer than the original version in the Teubner-Texte series. The material is organized in the following way: Part I: Fixed Point Theorems. Part II: Monotone Operators. Part III: Variational Methods and Optimization. Parts IV jV: Applications to Mathematical Physics. The exposition is guided by the following considerations: (a) What are the supporting basic ideas and what intrinsic interrelations exist between them? (/3) In what relation do the basic ideas stand to the known propositions of classical analysis and linear functional analysis? ( y) What typical applications are there? Vll Preface viii Special emphasis is placed on motivation.
| Author | : |
| Publisher | : |
| Total Pages | : 1148 |
| Release | : 1985 |
| Genre | : Aeronautics |
| ISBN | : |
Download Scientific and Technical Aerospace Reports Book in PDF, ePub and Kindle
| Author | : Felix E. Browder |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 478 |
| Release | : 1983-12-31 |
| Genre | : Mathematics |
| ISBN | : 0821814494 |
Download The Mathematical Heritage of Henri Poincare Book in PDF, ePub and Kindle
On April 7-10, 1980, the American Mathematical Society sponsored a Symposium on the Mathematical Heritage of Henri Poincari, held at Indiana University, Bloomington, Indiana. This volume presents the written versions of all but three of the invited talks presented at this Symposium (those by W. Browder, A. Jaffe, and J. Mather were not written up for publication). In addition, it contains two papers by invited speakers who were not able to attend, S. S. Chern and L. Nirenberg. If one traces the influence of Poincari through the major mathematical figures of the early and midtwentieth century, it is through American mathematicians as well as French that this influence flows, through G. D. Birkhoff, Solomon Lefschetz, and Marston Morse. This continuing tradition represents one of the major strands of American as well as world mathematics, and it is as a testimony to this tradition as an opening to the future creativity of mathematics that this volume is dedicated. This part contains sections on topological methods in nonlinear problems, mechanics and dynamical systems, ergodic theory and recurrence, and historical material.
