Asymptotic analysis of autoresonance models
Leonid Anatol'evich Kalyakin · Russian Mathematical Surveys · 2008
In recent decades new problems have arisen in oscillation theory which are related to the investigation of a?physical phenomenon known as autoresonance. This paper presents a?survey of results on the asymptotic analysis of such problems. Systems of differential equations corresponding to non-linear non-autonomous oscillators with variable excitation frequency are considered. For their solution asymptotic formulae are constructed with respect to a?small parameter or with respect to an independent variable.