Equivalent linearization of quasilinear oscillating systems with slowly varying parameters (Q1189921)

The problem of the approximate reduction of a quasilinear oscillating system with slowly varying parameters to a linear system that is equivalent in the asymptotic sense is investigated. Two approaches are proposed based on intermediate ``amplitude-phase'' variables and osculating variables of the Van der Pol type. An equivalent linear system is also constructed with a prescribed degree of accuracy with respect to a small parameter. As an example a quasilinear oscillator is considered.