On the Bilimovich System with inhomogeneous non-stationary nonholonomic relation

Abstract

The paper will consider the Bilimovich system, which can be considered as one of the examples with nonholonomic non-stationary inhomogeneous relation. We consider the case when there is no energy integral. The behavior of the system is quite complex, and strange attractors appear. Poincaré maps and dynamic mode maps are constructed and studied.