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.
CITATION STYLE
Arnal, A., & Chiralt, C. (2014). Analytic approximations for linear differential equations with periodic or quasi-periodic coefficients. SEMA SIMAI Springer Series, 4, 65–76. https://doi.org/10.1007/978-3-319-06953-1_7
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