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Original Research

CONTROLLING OF CHAOTIC RUCKLIDGE SYSTEM WITH DYNAMICAL BEHAVIORS

MD. ZAKIR HOSEN 1, MD. NURUJJAMAN 2, SHARABAN TAHURA 3, and PAYER AHMED 4.

Vol 18, No 05 ( 2023 )   |  DOI: 10.17605/OSF.IO/AJUBY   |   Author Affiliation: Assistant Professor, Department of Mathematics, Jagannath University, Dhaka, Bangladesh 1,2; Lecturer, Department of Civil Engineering, Presidency University, Dhaka, Bangladesh 3; Professor, Department of Mathematics, Jagannath University, Dhaka, Bangladesh 4.   |   Licensing: CC 4.0   |   Pg no: 849-865   |   Published on: 18-05-2023

Abstract

In this article, we study the basic concept of the Rucklidge system, a generalized Lorenz-like system. First, we have tried to explain which systems are generalized Lorenz-like systems. Then, we have concentrated on some dynamical characteristics, including nonlinearity, stability, and instability; sensitivity to numerical inaccuracy, sensitivity to initial conditions; vector field analysis; time series analysis, strange attractor, and bifurcation of the Rucklidge System. Mainly, controlling the chaos of this system is our main focus. Moreover, we have also displayed the two-scroll chaotic attractor of this system. Finally, we have controlled the Rucklidge system through trajectories for different parameter values. We have found a boundary of parameter values where the system has minimum oscillation, is non-periodic, or may be chaotic.


Keywords

Chaos; Strange Attractor; Sensitivity; Bifurcation; Time Series; Chaotification, Three dimensional, Lorenz-Like System