Design and Analysis of a Novel Five-Dimensional Hyper-Chaotic System
الباحث الأول:
اشواق عوده كاظم
الباحثين الآخرين:
د.صادق عبد العزيز
المجلة:
ICIC Express Letters, Part B: Applications
An International Journal of Research and Surveys
تاريخ النشر:
None
مختصر البحث:
This paper describes a novel five-dimensional hyper-chaotic system, where the novel system has twelve positive parameters and the basic features and dynamic behav- ior of the chaotic system are tested through the usage of equilibrium points, dissipa…
This paper describes a novel five-dimensional hyper-chaotic system, where the novel system has twelve positive parameters and the basic features and dynamic behav- ior of the chaotic system are tested through the usage of equilibrium points, dissipativity, symmetry, Lyapunov exponents, waveform analysis, Kaplan-Yorke dimension, and sen- sitivity to initial conditions. It has found that the system has two unstable equilibrium points as well as it is a dissipative system, it has symmetric pairs of coexisting attractors, such as limit cycles or strange attractors, it has two non-negative Lyapunov exponents where the maximum non-negative Lyapunov exponent is (0.721821), Kaplan-Yorke di- mension has been calculated as (2.66735), and it can be observed that the waveform of the time range has non-periodic properties. These results confirm that the nonlinear system is actually a hyperactivity system, random, and shows great complexity, as it is highly sensitive to initial conditions and therefore unpredictable for long periods.