The dynamical analysis of the modified rossler system

Abstract

Abstract The synthesis of novel chaotic systems is a modern branch of nonlinear dynamics since deterministic chaos properties can be successfully applied in various engineering and scientific problems. In this paper we investigate changes in the dynamics of the modified Rossler system after applying coordinates transformation to the original model. We perform the bifurcation analysis of the obtained model and experimentally show that its behavior differs with the behavior of the prototype. We study the finite-difference schemes obtained for considered chaotic systems and find their similarity in simulation with different integration steps. We show that discretization effects are the source of the small differences between the two models. The obtained results can be used in theoretical nonlinear dynamics, nonlinear systems simulation, development of communication and control systems.