view:29856 Last Update: 2020-7-3
Mobayen, S., Volos, C.K., Kaçar, S., Çavuşoğlu, Ü.
New class of chaotic systems with equilibrium points like a 3-leaved clover
دسته جدیدی از سیستم های آشوبناک دارای نقاط تعادل شبیه شبدر سه لایه
This paper presents a new class of chaotic systems with infinite number of equilibrium points like a 3-leaved clover. They signify an exciting class of dynamical systems which represent many major characteristics of regular and chaotic motions. These chaotic systems belong to the general class of chaotic systems with hidden attractors. By using a systematic computer search, three chaotic systems with 3-leaved-clover-shaped equilibria were found which are classified to dissipative systems. Dynamics of the chaotic system with the 3-leaved-clover-equilibria has been investigated by using phase portraits, bifurcation diagram, Lyapunov exponents, Kaplan-Yorke dimension and Poincaré map. Moreover, an electronic circuit implementation of the theoretical system is designed to check its effectiveness. RNG (random number generator) design has been realized with new developed chaotic systems. The obtained random bit sequences are used for image encryption. Security analysis of image encryption processes has been performed.