Abstract
In this manuscript, a methodology is designed to investigate the microscopic chaos adaptive controlling in the dynamics of the chaotic chemical reactor system (CR-system) using hybrid projective synchronization (HPS) technique. Initially, an adaptive control design (ACD) has been presented and analyzed in a systematic manner for controlling the microscopic chaos phenomenon found in the CR-system which is essentially in accordance with Lyapunov stability analysis (LSA). The necessary asymptotic stability criterion for the state vectors of the discussed CR-system with uncertain parameters is determined by designing suitable control functions and simplified parameter updating law. Additionally, numerical simulation results using MATLAB software have been performed to illustrate the effective presentation of the proposed strategy. Simulation outcomes complement that the primary objective of controlling chaos in CR-system is attained both analytically and computationally. Furthermore, a comparative study with earlier published literature has been done.