Perturbations of Mathieu Equations with Parametric Excitation of Large Period
نویسندگان
چکیده
We consider a linear differential system of Mathieu equations with periodic coefficients over periodic closed orbits and we prove that, arbitrarily close to this system, there is a linear differential system of Hamiltonian damped Mathieu equations with periodic coefficients over periodic closed orbits such that, all but a finite number of closed periodic coefficients, have unstable solutions. The perturbations will be performed in the periodic coefficients. AMS Subject Classifications: 34D10, 34D08, 34L30.
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تاریخ انتشار 2012