On strongly non-linear systems discretization

Abstract

This paper deals with the discretization of strongly non-linear systems. Proposed method is based on application of so called dissipation normal form (discrete and continuoustime). The paper shows that trough the discretization it is possible to conserve chaotic behaviour of the system. During the discretization the chaotic behaviour is usually considered as critically sensitive to changes in initial conditions, parameters and inputs. It is interesting that some aspects of the chaotic behaviour are conserved even for systems with quantized values of states and parameters.