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The dynamical nature of a backlash system with and without fluid friction

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Abstract

We study the dynamics of a simple system with backlash and impacts. Both the presence or the absence of fluid friction is considered. The fluid friction is modeled by a fractional derivative, but it is also shown how an inhomogeneous time scale, although not arising from a fractional differential equation, may lead to some features similar to fractional solutions.

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Authors and Affiliations

  1. CMAF, Complexo Interdisciplinar, Universidade de Lisboa, Av. Gama Pinto, 2 – 1649–003, Lisboa, Portugal

    R. Vilela Mendes

  2. Centro de Fusão Nuclear, Instituto Superior Técnico, Av. Rovisco Pais, Lisboa, Portugal

    R. Vilela Mendes

  3. Departamento de Matemática Aplicada, Facultad de Informática, Universidad Complutense de Madrid, 28040, Madrid, Spain

    Luis Vázquez

  4. Centro de Astrobiologia (CSIC-INTA), 28850, Torrejón de Ardoz, Madrid, Spain

    Luis Vázquez

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  1. R. Vilela Mendes
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  2. Luis Vázquez
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Correspondence to R. Vilela Mendes.

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Mendes, R.V., Vázquez, L. The dynamical nature of a backlash system with and without fluid friction. Nonlinear Dyn 47, 363–366 (2007). https://doi.org/10.1007/s11071-006-9035-y

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  • DOI: https://doi.org/10.1007/s11071-006-9035-y

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