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Morse theory for Hamiltonian systems by Alberto Abbondandolo is a nonfiction available to read on EtoBox.

What is Morse theory for Hamiltonian systems about?

<p>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.</p> <p>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.</p> <p>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 Ham

Who reads Morse theory for Hamiltonian systems?

Author

Alberto Abbondandolo

Publisher

Chapman and Hall/CRC

Published

2001

Language

EN

ISBN

9780367837600

Category

nonfiction

Subjects

Mathematics, Science, Stem