Abstract
Tri-Valued Memristor-Based Hyper-Chaotic System with Hidden and Coexistent Attractors
Highlights
Chaos is a pseudorandom phenomenon produced by a certain nonlinear system
Since the first chaotic system was designed by Lorenz in 1963 [1], researchers have developed many chaotic systems and applied them to a wide body of research fields such as dynamics research [2], neural networks [3], secure communication [4,5,6], image encryption [7,8,9,10,11]
The Timing diagram of the 4D hyperchaotic system (4D-HCS) is shown in Fig. (8), which indicates that the 4D-HCS shows pseudorandom and aperiodic behaviors
Summary
Chaos is a pseudorandom phenomenon produced by a certain nonlinear system. It shows many unique properties such as initial sensitivity and ergodicity. In 2020, Wang et al introduced a memristor feedback into a Lorenzlike chaotic system to obtain a hyper-chaotic system with multistability [23] This system has rich and unique dynamic characteristics. The nonlinear and random-like behavior of chaotic systems makes them suitable for designing pseudorandom number generator (PRNG). To explore this application, Hua et al designed a PRNG using a 2D sine chaotification system. We first introduce a tri-valued memristor model, and propose a four-dimensional hyper-chaotic systems (4D-HCS) using the tri-valued memristor.
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