The Maslov Indices of Hamiltonian Periodic Orbits
maurice de Gosson, Serge de Gosson
TL;DR
This paper provides precise formulas for the Maslov index of periodic Hamiltonian systems using the Leray index, comparing it with other existing indices across arbitrary dimensions.
Contribution
It introduces a new method to compute the Maslov index via the Leray index and offers a comprehensive comparison with other indices in the literature.
Findings
Formulas for the Maslov index in arbitrary dimensions
Comparison of the Leray index-based Maslov index with other indices
Enhanced understanding of the properties of Hamiltonian monodromy matrices
Abstract
We use the properties of the Leray index to give precise formulas in arbitrary dimensions for the Maslov index of the monodromy matrix arising in periodic Hamiltonian systems. We compare our index with other indices appearing in the literature.
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