Abstract
A perturbative procedure is proposed to compute analytic approximations to the fundamental matrix of linear differential equations with periodic or quasi-periodic coefficients. The algorithm allows one to construct high-order analytic approximations to the characteristic exponents and thus analyze the stability of the system. In addition, the approximate matrix solutions preserve by construction qualitative properties of the exact solution.
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Acknowledgements
This work has been partially supported by project MTM2010-18246-C03-02 from Ministerio de Ciencia e Innovación (Spain).
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Arnal, A., Chiralt, C. (2014). Analytic Approximations for Linear Differential Equations with Periodic or Quasi-periodic Coefficients. In: Casas, F., Martínez, V. (eds) Advances in Differential Equations and Applications. SEMA SIMAI Springer Series, vol 4. Springer, Cham. https://doi.org/10.1007/978-3-319-06953-1_7
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DOI: https://doi.org/10.1007/978-3-319-06953-1_7
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