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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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    File URL: https://mpra.ub.uni-muenchen.de/95394/1/MPRA_paper_95394.pdf
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    References listed on IDEAS

    as
    1. Azizi, SeyedSoroosh, 2018. "The impacts of workers' remittances on human capital and labor supply in developing countries," Economic Modelling, Elsevier, vol. 75(C), pages 377-396.
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    3. Chaoran He & SeyedSoroosh Azizi, 2019. "The impact of tax increment financing on property value," International Journal of Housing Markets and Analysis, Emerald Group Publishing Limited, vol. 13(5), pages 689-711, September.
    4. Seyedsoroosh Azizi, 2019. "Why do migrants remit?," The World Economy, Wiley Blackwell, vol. 42(2), pages 429-452, February.
    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.
    Full references (including those not matched with items on IDEAS)

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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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    More about this item

    Keywords

    Chaotic dynmics; fractional-order; synchronization; Lyapanov theorem; Economic;
    All these keywords.

    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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