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

Autor: El-Dessoky MM; Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia., Khan MA; Department of Mathematics, City University of Science and Information Technology, 25000 Peshawar, Khyber Pakhtunkhwa, Pakistan.
Jazyk: angličtina
Zdroj: Chaos (Woodbury, N.Y.) [Chaos] 2019 Jan; Vol. 29 (1), pp. 013107.
DOI: 10.1063/1.5079955
Abstrakt: 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.
Databáze: MEDLINE