Simplified Mathieu’s equation with linear friction
Journal Title: INCAS BULLETIN - Year 2016, Vol 8, Issue 2
Abstract
Consider a second order differential linear periodic equation. The friction coefficient is real positive constant. Some transformation of the solution and its first derivative allow writing two-order differential equations with void friction coefficients. The solutions of these equations are periodic functions or sum of periodic function and an oscillating function with monotone linear increasing amplitude. The second order equation with linear friction is recast as a first order system. The coefficients of the principal fundamental matrix solution of the system are explicit analytical functions.
Authors and Affiliations
Nicolae MARCOV
Keywords
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- EP ID EP107011
- DOI 10.13111/2066-8201.2016.8.2.5
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