Economic-Based Synchronization and Control of New Fractional-Order Chaotic System Based on Lyapunov Theorem

Alireza Bayat, Ehsan Khazaei and Sadegh Mahdavi

MPRA Paper from University Library of Munich, Germany

Abstract: The chaotic systems play a critical role in a wide range of communication systems, form both economical and technical. Recently, a new fractional-order chaotic system was proposed and dynamical analysis was investigated. Here, we focus on synchronization of the drive and response systems, which can have significant impact on the economic side of the problem. Furthermore, stability of mentioned system is discussed based on Lyapunov theorem. It is shown that Lyapunov theorem can be extended to the systems which have terms with orders higher than 2. Numerical simulations prove our claims from the objective evaluation.

Keywords: Chaotic dynmics; fractional-order; synchronization; Lyapanov theorem; Economic (search for similar items in EconPapers)
JEL-codes: A1 A2 F0 L0 O1 O14 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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