Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 351
A novel chaotic fractional orders system: Dynamic analysis, stabilization and synchronization via an active control
Rami Amira, Fareh Hannachi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 30, 2022
March 03, 2299
April 15, 2299

Abstract: In this work, We introduce a novel chaotic fractional order system. Firstly, we studied some elementary properties such as dissipativity, Lyapunov exponent and Kaplan-York dimension. Also a necessary condition for the new proposed system to remain chaotic are given in the commensurate case. Secondly, an active control are applied to stabilize and synchronize our new fractional chaotic system. Finally we improve all our results that are we obtained analytically using Matlab simulation.