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General properties and construction of the trajectories of thе roots or an equation having a quadratic free parameter

В.B. Bukhovtsev and О.V. Kulagina

Moscow University Physics Bulletin 1970. 25. N 1. P. 54

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Annotation

The general properties of trajectories of the roots of characteristic equations of the Фn(p)+ρψm(p)+ ρ^2Θl(p)=0 type are discussed. The general properties of these trajec­tories yield the qualitative behavior of the root hodographs. A method is also described for plotting the root trajectories based on methods developed for the root trajectories of equations having a linear free parameter. Examples are given.

Authors
В.B. Bukhovtsev and О.V. Kulagina
Department of Oscillation Physics
Issue 1, 1970

Moscow University Physics Bulletin

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