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Statistical Stability in Chaotic Dynamics

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Progress and Challenges in Dynamical Systems

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 54))

Abstract

We present some results on the existence and continuous variation of physical measures for families of chaotic dynamical systems. Quadratic maps and Lorenz flows will be considered in more detail. A brief idea on the proof of a recent theorem in Alves and Soufi (Nonlinearity 25:3527–3552, 2012) on the statistical stability of Lorenz flows will be given.

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Acknowledgements

The authors were partially supported by Fundação Calouste Gulbenkian, by CMUP, by the European Regional Development Fund through the Programme COMPETE and by FCT under the projects PTDC/MAT/099493/2008 and PEst-C/MAT/UI0144/2011.

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Authors and Affiliations

  1. Departamento de Matemática, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal

    J. F. Alves & M. Soufi

Authors
  1. J. F. Alves
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  2. M. Soufi
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Corresponding author

Correspondence to J. F. Alves .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Oviedo, Oviedo, Spain

    Santiago Ibáñez

  2. Department of Mathematics, University of Oviedo, Oviedo, Spain

    Jesús S. Pérez del Río

  3. Department of Mathematics, University of Oviedo, Oviedo, Spain

    Antonio Pumariño

  4. Department of Mathematics, University of Oviedo, Oviedo, Spain

    J. Ángel Rodríguez

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Alves, J.F., Soufi, M. (2013). Statistical Stability in Chaotic Dynamics. In: Ibáñez, S., Pérez del Río, J., Pumariño, A., Rodríguez, J. (eds) Progress and Challenges in Dynamical Systems. Springer Proceedings in Mathematics & Statistics, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38830-9_2

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