Synchronization of incommensurate fractional-order king cobra chaotic system

Abstract

In this study, the incommensurate fractional-order King Cobra (IFKC) chaotic system has been investigated. Through bifurcation diagrams and Lyapunov exponent spectra, it has been determined that the IFKC system exhibits rich dynamics. Subsequently, using the Proportional Tilt Integral Derivative (P-TID) control method, synchronization of two IFKC chaotic systems with different initial values has been achieved. Upon examination of the obtained simulation results, it has been demonstrated that the identified IFKC chaotic system and the P-TID controller can be effectively utilized for secure communication.