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

Author

Listed:
  • Bayat, Alireza
  • Khazaei, Ehsan
  • Mahdavi, Sadegh

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.

Suggested Citation

  • Bayat, Alireza & Khazaei, Ehsan & Mahdavi, Sadegh, 2019. "Economic-Based Synchronization and Control of New Fractional-Order Chaotic System Based on Lyapunov Theorem," MPRA Paper 95394, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:95394
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    References listed on IDEAS

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    5. Ashkaboosi, Maryam & Ashkaboosi, Farnoosh & Nourani, Seyed Mehdi, 2016. "The Interaction of Cybernetics and Contemporary Economic Graphic Art as "Interactive Graphics"," MPRA Paper 72717, University Library of Munich, Germany.
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    Cited by:

    1. Akinlar, Mehmet Ali & Tchier, Fairouz & Inc, Mustafa, 2020. "Chaos control and solutions of fractional-order Malkus waterwheel model," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).

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    Keywords

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    JEL classification:

    • A1 - General Economics and Teaching - - General Economics
    • A2 - General Economics and Teaching - - Economic Education and Teaching of Economics
    • F0 - International Economics - - General
    • L0 - Industrial Organization - - General
    • O1 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development
    • O14 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Industrialization; Manufacturing and Service Industries; Choice of Technology

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