Fast computation of the Maslov index for hyperbolic linear systems with periodic coefficients

@article{Chardard2006FastCO,
  title={Fast computation of the Maslov index for hyperbolic linear systems with periodic coefficients},
  author={Fr{\'e}d{\'e}ric Chardard and Fr{\'e}d{\'e}ric Dias and Thomas J. Bridges},
  journal={Journal of Physics A},
  year={2006},
  volume={39},
  pages={14545-14557}
}
The Maslov index is a topological property of periodic orbits of finite-dimensional Hamiltonian systems that is widely used in semiclassical quantization, quantum chaology, stability of waves and classical mechanics. The Maslov index is determined from the analysis of a linear Hamiltonian system with periodic coefficients. In this paper, a numerical scheme is devised to compute the Maslov index for hyperbolic linear systems when the phase space has a low dimension. The idea is to compute on the… 

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