A memristive chaotic system with heart-shaped attractors and its implementation

Application of Memristors in Hardware Security: A Current State‐of‐the‐Art Technology

“…A chaotic circuit was proposed by Wu et al, which was integrated with a heart‐shaped attractor, and a comprehensive study on how memristors control and regulate the chaotic system was conducted. [ 122 ] The attributes of the chaotic circuit were discovered, which are presented subsequently. First, a mirror symmetry can be observed in the attractor of the chaotic system the moment there is a switch in the polarity of the memristor (Figure 13, Panel 2).…”

“…A comprehensive discussion is provided on the specific mathematical model. [ 122 ] Second, as changes occur in the memristor parameters, it impacts the chaos degree of a system by either suppressing or enhancing it to various degrees. Thus, artificial intervention in a chaotic system can be conducted through controlled nonlinear devices, such as memristors.…”

Results on a Novel Piecewise‐Linear Memristor‐Based Chaotic System

“…Although the technique to produce the real memristor is not mature so far, memristor model can be used to construct chaotic circuit system. At present, a number of investigations on memristor-based chaotic system have been carried out [8][9][10][11][12]. For example, the chaotic circuit with one memristor is studied in [13,14], the chaotic circuit with two memristors is concerned in [15,16], the integer order chaotic memristor circuit is investigated in [17,18], and the fractional chaotic memristor circuit is researched in [19,20].…”

A Novel Chaotic System without Equilibrium: Dynamics, Synchronization, and Circuit Realization

“…A considerable amount of literature has been published on chaotic systems in last decades, for example, Lorenz's system [1], Rössler's system [2], Chen and Ueta's system [3], simple chaotic flows [4,5], memristive chaotic system with heartshaped attractors [6], chaotic circuit based on memristor [7,8], MOS-transistors based oscillators [9,10], mixed analogdigital designs [11], fully digital realization of chaotic systems [12,13], or electromechanical oscillator [14]. Complexity of chaotic systems has been used in various engineering applications from asymmetric color pathological image encryption [15,16], control and synchronization [17,18], a chaotic video communication scheme via WAN remote transmission [19], and image encryption with avalanche effects [20] to audio encryption scheme [21] and so on.…”