Perturbations of Mathieu equations with parametric excitation of large period

Details Perturbations of Mathieu equations with parametric excitation of large period Perturbations of Mathieu equations with parametric excitation of large period

2010-06-25

arxiv.org/abs/1006.5025v1

Nonlinear Sciences

Chaotic Dynamics

14 pages

Scientific paper

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 peformed in the periodic coefficients.

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