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On the Periodic Ricker Equation

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Book cover Nonlinear Analysis and Boundary Value Problems (NABVP 2018)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 292))

Abstract

Switching systems have recently used to model phenomena from Biology, Economy, Physics...They consist on the iteration of a finite number of maps. In this paper we consider periodic systems and analyze the dynamics of the periodic Ricker equation of period two.

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Notes

  1. 1.

    Plus perhaps a fixed point at the boundary of the interval or a two-periodic orbit consisting of both endpoints of the interval.

  2. 2.

    Dinaburg [15] gave simultaneously a Bowen like definition for continuous maps on a compact metric space.

  3. 3.

    Since Smale’s work (see [25]), horseshoes have been in the core of chaotic dynamics, describing what we could call random deterministic systems.

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Acknowledgements

I wish to thank the anonymous referees for their useful comments and suggestions that help me to improve the paper.

This work has been supported by the grant MTM 2017-84079-P Agencia Estatal de Investigación (AEI) y Fondo Europeo de Desarrollo Regional (FEDER).

Author information

Authors and Affiliations

  1. Universidad Politécnica de Cartagena, C/Dr. Fleming sn, 30202, Cartagena, Spain

    Jose S. Cánovas

Authors
  1. Jose S. Cánovas
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Corresponding author

Correspondence to Jose S. Cánovas .

Editor information

Editors and Affiliations

  1. Departamento de Matemática Aplicada II, Universidade de Vigo, Ourense, Spain

    Iván Area

  2. Departamento de Estatística, Análise Matemática e Optimización, Universidade de Santiago de Compostela, Santiago de Compostela, A Coruña, Spain

    Alberto Cabada

  3. Departamento de Matemáticas, Universidade de Vigo, Ourense, Spain

    José Ángel Cid

  4. E.T.S. Ingenieros Industriales, Universidad Nacional de Educación a Distancia (UNED), Madrid, Spain

    Daniel Franco

  5. Departamento de Matemática Aplicada II, Universidade de Vigo, Vigo, Pontevedra, Spain

    Eduardo Liz

  6. Departamento de Estatística, Análise Matemática e Optimización, Universidade de Santiago de Compostela, Santiago de Compostela, A Coruña, Spain

    Rodrigo López Pouso

  7. Departamento de Estatística, Análise Matemática e Optimización, Universidade de Santiago de Compostela, Santiago de Compostela, A Coruña, Spain

    Rosana Rodríguez-López

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Cánovas, J.S. (2019). On the Periodic Ricker Equation. In: Area, I., et al. Nonlinear Analysis and Boundary Value Problems . NABVP 2018. Springer Proceedings in Mathematics & Statistics, vol 292. Springer, Cham. https://doi.org/10.1007/978-3-030-26987-6_8

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