Open AccessThe dynamical analysis of the modified rossler system
Author(s) -
Александра Тутуева,
Денис Бутусов,
Artem Okhota,
Dmitrii O. Pesterev,
Ekaterina A. Rodionova
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/630/1/012006
Subject(s) - nonlinear system , chaotic , discretization , computer science , similarity (geometry) , transformation (genetics) , bifurcation , dynamical systems theory , nonlinear dynamical systems , matrix similarity , control theory (sociology) , statistical physics , mathematics , control (management) , mathematical analysis , artificial intelligence , partial differential equation , physics , biochemistry , chemistry , quantum mechanics , image (mathematics) , gene
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.