Reversibility diagrams: A tool for finite-difference model study

A discrete operators impact on the finite-difference models of continuous dynamical systems is an important problem in the area of nonlinear dynamics. One possible approach to study the properties of finite-difference schemes is based on the time-reversibility estimation. This property is closely related to the discrete model symmetry and symplecticity. We propose the algorithm for constructing the reversibility diagram - a graphic tool than can be used to determine the range of the simulation parameters and symmetry of resulting finite-difference scheme. The results of experimental studies are shown for simple finite-difference models of a memristive circuit.