Design and Analysis of a New Three-dimensional Hyper Chaotic System


This paper introduces a new three-dimensional autonomous hyper chaotic system, where the new system has six positive parameters. The essential properties and dynamic behavior of the new system are examined with existence of chaotic attractor, dissipativity, symmetry, equilibrium points, Lyapunov Exponents, Kaplan-Yorke dimension, waveform analysis and sensitivity toward initial conditions. The results of the analysis show that the new system has two unstable equilibrium points, Maximum Lyapunov Exponent (MLE) is obtained as 1.27325 and Kaplan-Yorke dimension is obtained as 2.39185, the waveform of the new system is non-periodic and it has high sensitivity towards initial conditions.