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Robust adaptive synchronization of a hyperchaotic finance system

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Abstract

This paper presents an adaptive algorithm to synchronize a hyperchaotic finance system in the presence of unknown system parameters and bounded disturbances. Based on Lyapunov-like analysis, an adaptive scheme is proposed to make the synchronization error asymptotically null. Simulation results are provided to demonstrate the effectiveness and feasibility of the proposed synchronization method.

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Authors and Affiliations

  1. Departamento de Engenharia Elétrica, Universidade de Brasília, C.P. 4386, Brasília, DF, CEP 70910-900, Brazil

    José A. R. Vargas

  2. Departamento de Referências Operacionais e Riscos Corporativos, Banco Central do Brasil, SBS Quadra 3 Bl. B - Ed. Sede, Brasília, DF, CEP 70074-900, Brazil

    Emerson Grzeidak

  3. Divisão de Engenharia Eletrônica, Instituto Tecnológico de Aeronáutica, Praça Mal. Eduardo Gomes - 50 - Vila das Acácias, São José dos Campos, São Paulo, CEP 12228-900, Brazil

    Elder M. Hemerly

Authors
  1. José A. R. Vargas
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  2. Emerson Grzeidak
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  3. Elder M. Hemerly
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Correspondence to José A. R. Vargas.

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Vargas, J.A.R., Grzeidak, E. & Hemerly, E.M. Robust adaptive synchronization of a hyperchaotic finance system. Nonlinear Dyn 80, 239–248 (2015). https://doi.org/10.1007/s11071-014-1864-5

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  • DOI: https://doi.org/10.1007/s11071-014-1864-5

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