Modeling Critical Phenomena in a Generalized Van Der Pol Model

Abstract

named after Academician S.P. Korolyov In the framework of this paper we consider the fl ow curvature method applying to modeling critical phenomena in one of the three-timescale fast-slow autonomous dynamical systems. The article considers a model that is a generalization of the classical Van der Pol model. The approximations of an invariant manifold and a two-dimensional analogue of a duck trajectory (a black swan) are constructed.