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CRC Press Morse Theory for Hamiltonian Systems Research Note

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Description

Morse Theory for Hamiltonian Systems, part of the Chapman and Hall/CRC Research Notes in Mathematics Series, explores existence and multiplicity questions for periodic solutions in first order, non-convex Hamiltonian systems. This research note introduces a new Morse index theory designed to be more flexible, less technical, and easier to use than existing methods. By consolidating techniques and results that previously appeared only in scattered journals, this work provides a cohesive resource for mathematicians. It offers a detailed description of the Maslov index, introduces the concept of the relative Morse index, and describes the functional setup for the variational theory of Hamiltonian systems, including a new proof. This text serves as a specialized resource for those studying advanced mathematical systems and variational theory.

Key Features

This CRC Press research note explores periodic solutions for first order, non-convex Hamiltonian systems.

The text introduces a new Morse index theory that is more flexible and less technical than existing theories.

It provides a detailed description of the Maslov index for mathematical research.

The book introduces the notion of the relative Morse index to assist in complex calculations.

It describes the functional setup for the variational theory of Hamiltonian systems.

This volume consolidates techniques and results that were previously found only in scattered journals.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
13 April 2018
Listed Since
20 January 2018

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