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On the Periodic Structure of the Rabinovitch-Fabrikant System

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Abstract

In this work we proof analytically the existence and stability of four families of periodic orbits of the Rabinovitch-Fabrikant system that born from a Zero-Hopf Bifurcation.

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Acknowledgements

This paper has been partially supported by Ministerio de Ciencia, Innovaci ón y Universidades, grant number PGC2018-097198-B-I00, and by Fundaci ón Séneca of Región de Murcia, grant number 20783/PI/18.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Larbi Tebessi University, 12002, Tebessa, Algeria

    Zouhair Diab

  2. Departamento de Matemáca Aplicada y Estadística, Universidad Politécnica de Cartagena, 30202, Cartagena, Región de Murcia, Spain

    Juan L. G. Guirao

  3. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    Juan L. G. Guirao

  4. Centro Universitario de la Defensa. Academia General del Aire. Universidad Politécnica de Cartagena, 30720, Santiago de la Ribera, Región de Murcia, Spain

    Juan A. Vera

Authors
  1. Zouhair Diab
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  2. Juan L. G. Guirao
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  3. Juan A. Vera
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Correspondence to Juan L. G. Guirao.

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Diab, Z., Guirao, J.L.G. & Vera, J.A. On the Periodic Structure of the Rabinovitch-Fabrikant System. Qual. Theory Dyn. Syst. 20, 35 (2021). https://doi.org/10.1007/s12346-021-00474-w

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  • DOI: https://doi.org/10.1007/s12346-021-00474-w

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