Adaptive controllability of microscopic chaos generated in chemical reactor system using anti-synchronization strategy

Abstract

<p style='text-indent:20px;'>In this manuscript, we design a methodology to investigate the anti-synchronization scheme in chaotic chemical reactor system using adaptive control method (ACM). Initially, an ACM has been proposed and analysed systematically for controlling the microscopic chaos found in the discussed system which is essentially described by employing Lyapunov stability theory (LST). The required asymptotic stability criterion of the state variables of the discussed system having unknown parameters is derived by designing appropriate control functions and parameter updating laws. In addition, numerical simulation results in MATLAB software are performed to illustrate the effective presentation of the considered strategy. Simulations outcomes correspond that the primal aim of chaos control in the given system have been attained computationally.</p>

Interlayer antisynchronization in degree-biased duplex networks

“…In fact, there are numerous investigations on antiphase synchronization [54,[84][85][86][87] and antisynchronization [88][89][90][91][92][93][94][95][96][97][98][99]. However, our goal is to look at the interlayer antisynchronization of attractive-repulsively coupled amplitude oscillators in a multilayer network.…”

A 4D conservative chaotic system: dynamics and realization

“…Chaos is an intriguing frontier discipline in nonlinear science which is intricately intertwined with various branches of human knowledge. Chaos theory is widely applied in the fields of secure communication, chemistry, chaos adaptive control and memristors [1][2][3][4]. Therefore, the establishment and characteristic analysis of chaotic systems are always a hot subject.…”

Partial Anti-Synchronization Problem of the 4D Financial Hyper-Chaotic System with Periodically External Disturbance

“…Many types of synchronization problems have been examined, such as complete synchronization, anti-synchronization, lag synchronization, projective synchronization, and so on. Anti-synchronization [7][8][9][10][11][12][13] is an important type of synchronization. It is a phenomenon whereby the state vectors of the slave systems have the same amplitude but opposite signs to those of the master system, i.e., the sum of two signals is expected to converge to zero when anti-synchronization appears.…”