2001, ISBN: 9781584882022

Buch, Softcover, This Research Note explores existence and multiplicity questions for periodic solutions of first order, non-convex Hamiltonian systems. It introduces a new Morse (index) … Más…

Buch, Softcover, 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. Morse Theory for Hamiltonian Systems provides a detailed description of the Maslov index, introduces the notion of relative Morse index, and describes the functional setup for the variational theory of Hamiltonian systems, including a new proof of the equivalence between the Hamiltonian and the Lagrangian index. It also examines the superquadratic Hamiltonian, proving the existence of periodic orbits that do not necessarily satisfy the Rabinowitz condition, studies asymptotically linear systems in detail, and discusses the Arnold conjectures about the number of fixed points of Hamiltonian diffeomorphisms of compact symplectic manifolds. In six succinct chapters, the author provides a self-contained treatment with full proofs. The purely abstract functional aspects have been clearly separated from the applications to Hamiltonian systems, so many of the results can be applied in and other areas of current research, such as wave equations, Chern-Simon functionals, and Lorentzian geometry. Morse Theory for Hamiltonian Systems not only offers clear, well-written prose and a unified account of results and techniques, but it also stimulates curiosity by leading readers into the fascinating world of symplectic topology. [PU: Chapman & Hall/CRC], Seiten: 208, Chapman & Hall/CRC, 2001<

ISBN: 9781584882022

[ED: Taschenbuch], [PU: Taylor & Francis Inc], This Research Note introduces a new Morse (index) theory that is easier to use, less technical, and more flexible than existing theories. Un… Más…

[ED: Taschenbuch], [PU: Taylor & Francis Inc], This Research Note introduces a new Morse (index) theory that is easier to use, less technical, and more flexible than existing theories. Until now, these results have appeared only in scattered journals. The author provides a self-contained treatment with full proofs of the major results and complete with applications of the theory to Hamiltonian systems and other areas of current research, including wave equations, Chern-Simon functionals, and Lorentzian geometry . 136 equations 5 Illustrations, black and white Versandfertig in 3-4 Wochen, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Offene Rechnung (Vorkasse vorbehalten)<

2001, ISBN: 1584882026

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[EAN: 9781584882022], Neubuch, [PU: CRC Pr I Llc], 1st edition. 208 pages. 9.00x6.00x0.50 inches. In Stock., Books

2001, ISBN: 9781584882022

CRC Pr I Llc, 2001. Paperback. New. 1st edition. 208 pages. 9.00x6.00x0.50 inches., CRC Pr I Llc, 2001, 6

2001, ISBN: 9781584882022

Buch, Softcover, [PU: Chapman & Hall/CRC], Chapman & Hall/CRC, 2001