Verification of Phase Space Inversions Based on The Initial Conditions of the Chaotic Chen System

Nabaa Mohammed Ali; Raied K. Jamal

doi:10.24996/ijs.2023.64.7.20

Authors

Nabaa Mohammed Ali Physics Department, College Of Science, University of Baghdad, Baghdad, Iraq
Raied K. Jamal Physics Department, College Of Science, University of Baghdad, Baghdad, Iraq https://orcid.org/0000-0002-6159-5373

DOI:

https://doi.org/10.24996/ijs.2023.64.7.20%20%20

Keywords:

Chaos, Chen model, time series, attractor, bifurcation

Abstract

Theoretically, an eight-term chaos system is presented. The effect of changing the initial conditions values on behavior Chen system was studied. The basic dynamical properties of system are analyzed like time series, attractor, FFT spectrum, and bifurcation. Where the system appears steady state behavior at initial condition x_{i ,}y_i , z_i equal (0, 0, 0) respectively and it convert to quasi-chaotic at x_i,y_i,z_i equal (-0.1, 0.5,-0.6). Finally, the system become hyper chaotic at x_i,y_i,z_iequal(-0.5, 0.5,-0.6 ) that can used it in many applications like secure communication.