Application of fractional calculus to combined modified function projective synchronization of different systems

摘要

This paper presents the analysis of fractional order dynamical system of combined modified function projective synchronization of different systems. Initially, we formulate the model in fractional order and then investigate their associated properties. We then investigate the chaotic behavior of different systems by considering the fractional order parameter. To obtain the simulation results of the models, we use the Runge-Kutta order four scheme and Adams-Bashforth scheme. The obtained results are discussed in detail for the various values of the fractional order parameters. The obtained graphical results reveal the significance of the fractional order modeling. Published under license by AIP Publishing.