Research Article
On damped Mathieu and periodic Lienard type equationshttps://doi.org/10.21203/rs.3.rs-2459144/v1
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In this paper, we show the existence of damped Mathieu and periodic Lienard-type equations that can be solved in an explicit way or by quadrature. We prove for the first time an isochronous periodic solution for a Lienard-type equation with periodic coefficients, which does not exhibit parametric resonance.
Parametrically excited equation
Mathieu equation
Lienard-type equation
isochronous periodic solutions
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