Coexistence of Anti-Phase and Complete Synchronization in a Chaotic Finance System

Adaptive barrier function‐based fractional‐order chattering‐free finite‐time control for uncertain chaotic systems

“…The continuous and time‐independent deterministic systems can also show the chaotic behavior without the need for an accident element if they have at least three state variables [6, 7]. The chaotic systems have various applications in chemical reactions [8], secure communication [9, 10], electronic circuits [11], chaotic optical communication [12], chaotic CO 2 lasers [13], chaotic finance system [14], periodically intermittent control [15], partial discharge in power cables [16], cryptosystems [17], image encryption [18], and so on. Chaotic systems have been very remarkable in the last two decades, and many researches have been done on their investigation [19], among the proposed methods for controlling the chaotic systems are feedback linearization control [20, 21], control methods based on optimization [22, 23], adaption [24–26], back‐stepping [27, 28], sliding mode control (SMC) [29–31], neural networks [32, 33], and stochastic delay [34].…”

A Disturbance-Observer-Based Sliding Mode Control for the Robust Synchronization of Uncertain Delayed Chaotic Systems: Application to Data Security

“…Therefore, the chaos phenomenon should be avoided or completely suppressed in practice [6][7][8][9]. In the past two decades, chaos synchronization has generated important interests in applied fields such as secure communication [10,11], electronic circuits [12], optical chaotic communication [13], chaotic CO2 lasers [14], chaotic finance system [15], a periodically intermittent control [16], partial discharge in power cables [17], cryptosystems [18] and image encryption [19]. As a result, various control techniques have been proposed for the synchronization of chaotic systems [20][21][22][23].…”