Symplectic Pseudospectral Methods for Optimal Control: Theory and Applications in Path Planning, Wang Xinwei, Liu Jie, Peng Haijun

Автор: Yiming Long
Название: Index Theory for Symplectic Paths with Applications
ISBN: 303489466X ISBN-13(EAN): 9783034894661
Издательство: Springer
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Цена: 121110.00 T
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Описание: This book gives an introduction to index theory for symplectic matrix paths and its iteration theory, as well as applications to periodic solution problems of nonlinear Hamiltonian systems.

Автор: Tim Kirschner
Название: Period Mappings with Applications to Symplectic Complex Spaces
ISBN: 3319175203 ISBN-13(EAN): 9783319175201
Издательство: Springer
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Цена: 41920.00 T
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Описание: Extending Griffiths` classical theory of period mappings for compact Kahler manifolds, this book develops and applies a theory of period mappings of "Hodge-de Rham type" for families of open complex manifolds.

Автор: Mcduff, Dusa Salamon, Dietmar
Название: Introduction to symplectic topology
ISBN: 0198794908 ISBN-13(EAN): 9780198794905
Издательство: Oxford Academ
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Цена: 66530.00 T
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Описание: Over the last number of years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important results. This new third edition of a classic book in the feild includes updates and new material to bring the material right up-to-date.

Автор: Heike Fassbender
Название: Symplectic Methods for the Symplectic Eigenproblem
ISBN: 1441933468 ISBN-13(EAN): 9781441933461
Издательство: Springer
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Цена: 130430.00 T
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Описание: Certain quadratic eigenvalue problems arising, e.g., in finite element discretization in structural analysis, in acoustic simulation of poro-elastic materials, or in the elastic deformation of anisotropic materials can also lead to symplectic eigenvalue problems.

Автор: Heike Fassbender
Название: Symplectic Methods for the Symplectic Eigenproblem
ISBN: 0306464780 ISBN-13(EAN): 9780306464782
Издательство: Springer
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Цена: 130430.00 T
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Описание: Certain quadratic eigenvalue problems arising, e.g., in finite element discretization in structural analysis, in acoustic simulation of poro-elastic materials, or in the elastic deformation of anisotropic materials can also lead to symplectic eigenvalue problems.

Автор: De Leon Manuel Et Al
Название: Methods Of Differential Geometry In Classical Field Theories: K-Symplectic And K-Cosymplectic Approaches
ISBN: 9814699756 ISBN-13(EAN): 9789814699754
Издательство: World Scientific Publishing
Цена: 92930.00 T
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Описание: This book is devoted to review two of the most relevant approaches to the study of classical field theories of the first order, say k-symplectic and k-cosymplectic geometry. This approach is also compared with others like multisymplectic formalism.

Автор: Daniel Sternheimer; John Rawnsley; Simone Gutt
Название: Deformation Theory and Symplectic Geometry
ISBN: 9048148413 ISBN-13(EAN): 9789048148417
Издательство: Springer
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Цена: 104480.00 T
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Автор: McDuff, Dietmar Salamon
Название: $J$-holomorphic Curves and Symplectic Topology: Second Edition
ISBN: 0821887467 ISBN-13(EAN): 9780821887462
Издательство: Mare Nostrum (Eurospan)
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Цена: 109030.00 T
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Описание: The theory of $J$-holomorphic curves has been of great importance since its introduction by Gromov in 1985. In mathematics, its applications include many key results in symplectic topology. It was also one of the main inspirations for the creation of Floer homology. In mathematical physics, it provides a natural context in which to define Gromov-Witten invariants and quantum cohomology, two important ingredients of the mirror symmetry conjecture.<br><br> The main goal of this book is to establish the fundamental theorems of the subject in full and rigourous detail. In particular, the book contains complete proofs of Gromov's compactness theorem for spheres, of the gluing theorem for spheres, and of the associatively of quantum multiplication in the semipositive case. The book can also serve as an introduction to current work in symplectic topology: there are two long chapters on applications, one concentrating on classical results in symplectic topology and the other concerned with quantum cohomology. The last chapter sketches some recent developments in Floer theory. The five appendices of the book provide necessary background related to the classical theory of linear elliptic operators, Fredholm theory, Sobolev spaces, as well as a discussion of the moduli space of genus zero stable curves and a proof of the positivity of intersections of $J$-holomorphic curves in four-dimensional manifolds. The second edition clarifies various arguments, corrects several mistakes in the first edition, includes some additional results in Chapter 10 and Appendices C and D, and updates the references to recent developments.

Автор: Banyaga Augustin Et Al
Название: Brief Introduction To Symplectic And Contact Manifolds, A
ISBN: 9814696706 ISBN-13(EAN): 9789814696708
Издательство: World Scientific Publishing
Цена: 65470.00 T
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Описание: The book introduces the basic notions in Symplectic and Contact Geometry at the level of the second year graduate student. It also contains many exercises, some of which are solved only in the last chapter.

Автор: Leonid Polterovich
Название: The Geometry of the Group of Symplectic Diffeomorphism
ISBN: 3764364327 ISBN-13(EAN): 9783764364328
Издательство: Springer
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Цена: 60550.00 T
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Описание: The group of Hamiltonian diffeomorphisms Ham(M, 0) of a symplectic mani fold (M, 0) plays a fundamental role both in geometry and classical mechanics. They turn out to be very different from the usual circle of problems considered in symplectic topology and thus extend significantly our vision of the symplectic world.

Автор: Bernhelm Booss-Bavnbek, Chaofeng Zhu
Название: The Maslov Index in Symplectic Banach Spaces
ISBN: 1470428008 ISBN-13(EAN): 9781470428006
Издательство: Mare Nostrum (Eurospan)
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Цена: 77610.00 T
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Описание: The authors consider a curve of Fredholm pair of Lagrangian subspaces in a fixed Banach space with continuously varying weak symplectic structures. Assuming vanishing index, they obtain intrinsically a continuously varying splitting of the total Banach space into pairs of symplectic subspaces. Using such decompositions the authors define the Maslov index of the curve by symplectic reduction.

Автор: Franco Cardin
Название: Elementary Symplectic Topology and Mechanics
ISBN: 331911025X ISBN-13(EAN): 9783319110257
Издательство: Springer
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Цена: 37260.00 T
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Описание: This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics.