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

Bayat, Alireza and Khazaei, Ehsan and Mahdavi, Sadegh (2019): Economic-Based Synchronization and Control of New Fractional-Order Chaotic System Based on Lyapunov Theorem.

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.

• Item Type: MPRA Paper
• Language: English
• Keywords: Chaotic dynmics; fractional-order; synchronization; Lyapanov theorem; Economic
• Subjects: A - General Economics and Teaching > A1 - General Economics; A - General Economics and Teaching > A2 - Economic Education and Teaching of Economics; F - International Economics > F0 - General; L - Industrial Organization > L0 - General; O - Economic Development, Innovation, Technological Change, and Growth > O1 - Economic Development; O - Economic Development, Innovation, Technological Change, and Growth > O1 - Economic Development > O14 - Industrialization ; Manufacturing and Service Industries ; Choice of Technology

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